Base mesh coding using surface reflection symmetry

Abstract

The encoding method includes receiving a polygon mesh including a plurality of original vertices. The method further includes deriving an initial base mesh from the polygon mesh, the initial base mesh including a first base mesh vertex set. The method further includes performing a symmetrization operation on the initial base mesh to generate a symmetric base mesh including a first side having the first base mesh vertex set and a second side having a second base mesh vertex set, where each base mesh vertex in the first base mesh vertex set has a corresponding symmetry vertex in the second base mesh vertex set. The method further includes determining a first displacement between each original vertex of the polygon mesh located on the second side of the symmetric base mesh and a nearest vertex in the second base mesh vertex set.

Description

[Technical Field]

[0001] CROSS-REFERENCE TO RELATED APPLICATIONS This application claims priority to U.S. Provisional Patent Application No. 63 / 406,606, filed September 14, 2022, and U.S. Patent Application No. 18 / 312,224, filed May 4, 2023, the disclosures of which are incorporated herein by reference in their entireties.

[0002] This disclosure is directed to a set of advanced video coding techniques. More specifically, this disclosure is directed to base mesh coding by using surface reflection symmetry for efficient mesh compression. [Background technology]

[0003] Advanced three-dimensional (3D) representations of the world are enabling more immersive interaction and communication. To achieve the sense of realism of 3D representations, 3D models are becoming ever more sophisticated, and a considerable amount of data is associated with the creation and consumption of these 3D models. 3D meshes are widely used in 3D model immersive content.

[0004] A 3D mesh may be composed of several polygons that describe the surface of a volumetric object. Because a mesh sequence may contain a significant amount of information that changes over time, dynamic mesh sequences may require large amounts of data. Therefore, efficient compression techniques are needed to store and transmit such content.

[0005] VMesh is the current MPEG standard for compressing static and dynamic meshes. The current VMesh reference software separates the input mesh into a simple base mesh and a displacement vector, which are coded independently.

[0006] Symmetry is a property of a geometric object when an operation maps the object onto itself. In Euclidean metrics, the group of symmetry transformations is called Euclidean isometry, consisting of reflections, translations, rotations, and their combinations. Among all these properties, reflection symmetry or bilateral symmetry is the most common symmetry present in both the biological and non-biological worlds. All points and edges of a reflection-symmetric mesh have a one-to-one correspondence through the plane of symmetry.

[0007] Planes of reflection symmetry in a mesh can be detected with simple methods using principal component analysis (PCA), or with more advanced techniques using deep learning. Surface reflection symmetry is when only the surface of the mesh exhibits reflection symmetry, but not the xyz points or vertices. Therefore, in this situation, a one-to-one mapping may not be available. Summary of the Invention [Means for solving the problem]

[0008] According to one or more embodiments, a video encoding method performed by at least one processor includes receiving a polygon mesh including a plurality of original vertices. The method further includes deriving an initial base mesh from the polygon mesh, the initial base mesh including a first base mesh vertex set. The method further includes performing a symmetrization operation on the initial base mesh to generate a symmetric base mesh including a first side having the first base mesh vertex set and a second side having a second base mesh vertex set, where each base mesh vertex in the first base mesh vertex set has a corresponding symmetric vertex in the second base mesh vertex set. The method further includes determining a first displacement between each original polygon mesh vertex located on the second side of the symmetric base mesh and a nearest vertex in the second base mesh vertex set. The method further includes generating a coded video bitstream including at least the first base mesh vertex set and each determined first displacement.

[0009] According to one or more embodiments, an encoder comprises at least one memory configured to store program code and at least one processor configured to read the program code and operate as instructed by the program code. The program code includes a receiving operation configured to cause the at least one processor to receive a polygonal mesh including a plurality of original vertices. The program code further includes a deriving operation configured to cause the at least one processor to derive an initial base mesh from the polygonal mesh, the initial base mesh including a first base mesh vertex set. The program code further includes an executing operation configured to cause the at least one processor to perform a symmetrization operation on the initial base mesh to generate a symmetrical base mesh including a first side having the first base mesh vertex set and a second side having a second base mesh vertex set, wherein each base mesh vertex of the first base mesh vertex set has a corresponding symmetrical vertex of the second base mesh vertex set. The program code further includes a first determining configured to cause the at least one processor to determine a first displacement between each original vertex of the polygon mesh located on a second side of the symmetric base mesh and a nearest vertex included in the second base mesh vertex set. The program code further includes a generating configured to cause the at least one processor to generate a coded video bitstream including at least the first base mesh vertex set and each determined first displacement.

[0010] According to one or more embodiments, a non-transitory computer-readable medium has stored therein instructions that, when executed by at least one processor in an encoder, cause the at least one processor to: receive a polygon mesh including a plurality of original vertices; derive an initial base mesh from the polygon mesh, the initial base mesh including a first base mesh vertex set; perform a symmetrization operation on the initial base mesh to generate a symmetric base mesh including a first side having the first base mesh vertex set and a second side having a second base mesh vertex set, wherein each base mesh vertex in the first base mesh vertex set has a corresponding symmetry vertex in the second base mesh vertex set; determine a first displacement between each original vertex of the polygon mesh located on the second side of the symmetric base mesh and a nearest vertex in the second base mesh vertex set; and generate a coded video bitstream including at least the first base mesh vertex set and each determined first displacement.

[0011] Further features, nature and various advantages of the disclosed subject matter will become more apparent from the following detailed description and accompanying drawings. [Brief explanation of the drawings]

[0012] [Figure 1(A)] 1 illustrates an exemplary object with symmetry. [Figure 1(B)] 1 illustrates an exemplary object with symmetry. [Figure 1(C)] 1 illustrates an exemplary object with symmetry. [Figure 1(D)] 1 illustrates an exemplary object with symmetry. [Figure 1(E)] 1 illustrates an exemplary object with symmetry. [Figure 1(F)] 1 illustrates an exemplary object with symmetry. [Figure 2]FIG. 1 is a schematic diagram of a block diagram of a communication system according to an embodiment of the present disclosure. [Figure 3] FIG. 1 is a schematic diagram of a block diagram of a streaming system, according to an embodiment of the present disclosure. [Figure 4] FIG. 1 is a schematic block diagram of a video encoding mesh framework based on a symmetric base mesh, according to an embodiment of the present disclosure. [Figure 5] FIG. 1 is a schematic diagram of a decoding mesh framework based on a symmetric base mesh, according to an embodiment of the present disclosure. [Figure 6] FIG. 1 is a diagram of an exemplary surface symmetric mesh with a symmetric base mesh, according to an embodiment of the present disclosure. [Figure 7] FIG. 10 illustrates an example in which the left vertex of a symmetric base mesh is nearly perfectly aligned with the symmetric mesh, according to an embodiment of the present disclosure. [Figure 8] FIG. 10 shows an example of a completed near-symmetric mesh. [Figure 9] 1 is an exemplary flowchart for encoding a symmetric mesh to generate a coded video bitstream, according to an embodiment of the present disclosure. [Figure 10] 1 is an exemplary flowchart for decoding a bitstream and reconstructing a symmetric mesh according to an embodiment of the present disclosure. [Figure 11] FIG. 1 illustrates a computer system suitable for implementing embodiments of the present disclosure. DETAILED DESCRIPTION OF THE INVENTION

[0013] The following detailed description of the exemplary embodiments refers to the accompanying drawings, in which the same reference numbers in different drawings may identify the same or similar elements.

[0014] The foregoing disclosure provides illustration and description, but is not intended to be exhaustive or to limit implementations to the precise form disclosed. Modifications and variations are possible in light of the above disclosure or may be acquired from practice of the implementations. Furthermore, one or more features or components of one embodiment may be incorporated into or combined with another embodiment (or one or more features of another embodiment). Additionally, in the flowcharts and descriptions of operations provided below, it will be understood that one or more operations may be omitted, one or more operations may be added, one or more operations may occur simultaneously (at least in part), or the order of one or more operations may be rearranged.

[0015] It will be apparent that the systems and / or methods described herein may be implemented in different forms, such as hardware, firmware, or a combination of hardware and software. The actual dedicated control hardware or software code used to implement these systems and / or methods is not intended to limit the implementation. Thus, the operation and behavior of the systems and / or methods are described herein without reference to specific software code, and it will be understood that software and hardware can be designed to implement the systems and / or methods based on the description herein.

[0016] Although particular combinations of features are recited in the claims and / or disclosed herein, these combinations are not intended to limit the disclosure of possible implementations. Indeed, many of these features may be combined in ways not specifically recited in the claims and / or disclosed in the specification. Although each dependent claim listed below may depend directly on only one claim, the disclosure of possible implementations includes each dependent claim in combination with all other claims in a set of claims.

[0017] No element, act, or instruction used herein should be construed as critical or essential unless explicitly stated as such. Also, as used herein, the articles "a" and "an" are intended to include one or more items and may be used interchangeably with "one or more." Where only one item is intended, the term "one" or similar language is used. Also, as used herein, terms such as "has," "have," "having," "include," and "including" are intended to be open-ended terms. Furthermore, the phrase "based on" is intended to mean "based at least in part on," unless otherwise specified. Furthermore, phrases such as "at least one of [A] and [B]" and "at least one of [A] or [B]" should be understood to include A only, B only, or both A and B.

[0018] Throughout this specification, references to "one embodiment," "an embodiment," or similar language mean that a particular feature, structure, or characteristic described in connection with the illustrated embodiment is included in at least one embodiment of the solution. Thus, throughout this specification, the phrases "in one embodiment," "in an embodiment," and similar language may, but do not necessarily, all refer to the same embodiment.

[0019] Furthermore, the described features, advantages, and characteristics of the present disclosure may be combined in any suitable manner in one or more embodiments. Those skilled in the art will recognize in light of the description herein that the present disclosure may be practiced without one or more particular features or advantages of a particular embodiment. In other instances, additional features and advantages may be recognized in certain embodiments that may not be present in all embodiments of the present disclosure.

[0020]

[0006] Embodiments of the present disclosure are directed to providing both lossless and lossy mesh coding techniques based on the symmetry properties of mesh content. More specifically, reflective symmetric partitioning, prediction, and coding are introduced to mesh content.

[0021] 1(A)-1(F) illustrate exemplary objects with symmetry. Various types of objects may be designed with reflective symmetry as shown in 1(A)-1(F). As described in detail below, reflective symmetry can be utilized to create folded meshes according to one or more exemplary embodiments of the present disclosure.

[0022] 2 and 3, one or more embodiments of the present disclosure for implementing the encoding and decoding structures of the present disclosure are described.

[0023] 2 shows a simplified block diagram of a communication system 100 according to one embodiment of the present disclosure. The system 100 may include at least two terminals 110, 120 interconnected via a network 150. In the case of unidirectional data transmission, the first terminal 110 may encode video data, which may include mesh data, at a local location for transmission to the other terminal 120 via the network 150. The second terminal 120 may receive the other terminal's coded video data from the network 150, decode the coded data, and display the recovered video data. Unidirectional data transmission may be common in media serving applications, etc.

[0024] 2 shows a second pair of terminals 130, 140 provided to support two-way transmission of coded video, such as may occur during a video conference. For two-way transmission of data, each terminal 130, 140 can code video data captured at a local location for transmission to the other terminal over network 150. Each terminal 130, 140 can also receive coded video data transmitted by the other terminal, decode the coded data, and display the recovered video data on a local display device.

[0025] In FIG. 2, terminals 110-140 may be, for example, servers, personal computers, smartphones, and / or any other type of terminal. For example, terminals (110-140) may be laptop computers, tablet computers, media players, and / or dedicated videoconferencing equipment. Network 150 represents any number of networks that convey coded video data between terminals 110-140, including, for example, wired and / or wireless communication networks. Communication network 150 may exchange data over circuit-switched and / or packet-switched channels. Exemplary networks include telecommunications networks, local area networks, wide area networks, and / or the Internet. For purposes of this discussion, the architecture and topology of network 150 may not be important to the operation of the present disclosure unless described herein below.

[0026] 3 illustrates the placement of a video encoder and decoder in a streaming environment as an example of an application of the disclosed subject matter. The disclosed subject matter may also be used in other video-enabled applications, including, for example, video conferencing, digital television, storage of compressed video on digital media including CDs, DVDs, memory sticks, etc.

[0027] 3, the streaming system 200 may include a capture subsystem 213 including a video source 201 and an encoder 203. The streaming system 200 may further include at least one streaming server 205 and / or at least one streaming client 206.

[0028] The video source 201 can create a stream 202, for example, including a 3D mesh and metadata associated with the 3D mesh. The 3D mesh can be organized from several polygons that describe the surface of a volumetric object. For example, the 3D mesh can include multiple vertices in 3D space, with each vertex associated with a 3D coordinate (e.g., x, y, z). The video source 201 can include, for example, a 3D sensor (e.g., a depth sensor) or 3D imaging technology (e.g., digital camera(s)) and a computing device configured to generate the 3D mesh using data received from the 3D sensor or the 3D imaging technology. The sample stream 202 may have a high amount of data compared to an encoded video bitstream and may be processed by an encoder 203 coupled to the video source 201. The encoder 203 may include hardware, software, or a combination thereof to enable or implement aspects of the disclosed subject matter, as described in more detail below. The encoder 203 can also further generate an encoded video bitstream 204. The encoded video bitstream 204 may have a lower amount of data compared to the uncompressed stream 202 and may be stored on the streaming server 205 for later use. One or more streaming clients 206 may access the streaming server 205 to retrieve a video bitstream 209, which may be a copy of the encoded video bitstream 204.

[0029] The streaming client 206 may include a video decoder 210 and a display 212. The video decoder 210 may, for example, decode a video bitstream 209, which is an incoming copy of the encoded video bitstream 204, and generate an outgoing video sample stream 211 that may be rendered on the display 212 or another rendering device (not shown). In some streaming systems, the video bitstreams 204, 209 may be encoded according to a particular video coding / compression standard.

[0030] According to one or more embodiments, reflection symmetry can be exploited to create a folded mesh. The folded mesh M can be divided into mutually exclusive regions.

number

[0031] Current mesh processing also faces the following problems: (1) existing mesh coding algorithms mainly utilize the local characteristics of meshes; (2) many meshes do not exhibit complete reflection symmetry, and one-to-one mapping is not available; (3) meshes may exhibit symmetry only on the surface; (4) the conditions for reflection symmetry are still limited; and (5) the base mesh occupies more bits than the displacement.

[0032] The proposed methods may be used separately or combined in any order and may be used for any polygonal mesh. According to one or more embodiments, a surface symmetric mesh is separated into a symmetric base mesh and a predictive displacement coding.

[0033] According to one or more embodiments, an exemplary encoding framework 400 for encoding surface symmetries is shown in FIG. 4. The encoding framework 400 may be implemented by the encoder 203. In base mesh derivation 402, an initial version of the base mesh may be derived using one or more conventional methods known to those skilled in the art. A symmetrization process 404 may be used to symmetrize the initial mesh to take advantage of symmetry properties. This process symmetrizes the base mesh M b and the plane of symmetry p b The symmetric split 406 can be performed by splitting the base mesh into left and right halves. In one or more examples, the left base mesh

number

[0034] 5 shows an example decoding framework 500 according to one or more embodiments. The decoding framework 500 may be implemented by the decoder 210. The bitstream 502 received by the decoding framework 500 may correspond to the bitstream 414 generated by the encoding framework 400. The bitstream 502 may include a left base mesh vertex, a symmetry plane, an encoded displacement between the left original vertex and the left base mesh vertex, and an encoded displacement between the right original vertex and the right base mesh vertex.

[0035] In the decoding process, the left base mesh may first be reconstructed by the corresponding mesh decoding block 504. Symmetry prediction 508 is used to predict the right base mesh using the symmetrically reflected left base mesh, which may then be reconstructed in displacement decoding 510. Displacement decoding 510 may be based on the displacement bitstream and the decoded symmetry plane 506. Displacements may be determined between the right base mesh vertices 510A and the original vertices 510B. Displacements between the left base mesh vertices and the original vertices may also be determined. After displacement decoding is performed, the original vertices may be reconstructed (e.g., restored) based on the decoded base mesh and the displacement decoding of the original vertices.

[0036] FIG. 6 illustrates an example polygon mesh 600 including a left side 600A with original vertices on the left side and a right side 600B with original vertices on the right side. The polygon mesh 600 can represent the surface of a 3D object. The polygon mesh 600 can also correspond to a surface symmetry mesh. A base mesh with left base mesh vertices can be derived from the polygon mesh 600. Additionally, corresponding right base mesh vertices can be derived based on the left base mesh vertices, and each right base mesh vertex has a corresponding symmetric left base mesh vertex. For each left original vertex, the displacement between the left original vertex and the nearest left base mesh vertex can be encoded. Additionally, for each right original vertex, the displacement between the right original vertex and the nearest right base mesh vertex can be encoded. The displacements can be encoded and included in the bitstream.

[0037] Therefore, the left original vertex and the right original vertex can be derived based on the information included in the bitstream. For example, a decoder can decode the left base mesh vertex included in the bitstream and derive the right base mesh vertex from the left base mesh vertex because the right base mesh vertex is symmetrical to the left base mesh vertex. After the base mesh vertex is derived, the original vertex can be derived (e.g., predicted) based on the displacement included in the bitstream.

[0038] According to one or more embodiments, the base mesh is symmetrized to a perfect symmetric base mesh average. For example, half of the base mesh can be projected through a given symmetry plane with zero displacement. Therefore, displacement coding of the symmetric base mesh may be omitted for the half of the base mesh with zero displacement.

[0039] According to one or more embodiments, the displacement coding of the original vertices may also be based on a symmetry plane. For example, the input mesh may be oriented along a symmetry plane p bThe displacement coding of the left original mesh can be done first, and the reconstruction of the left original mesh is used together with the reconstructed right base mesh to predict the right vertices.

[0040] In one or more examples, the input mesh may be a nearly perfectly symmetric mesh. For example, a majority of the vertices, or at least a subset of the vertices, are symmetric pairs. In this scenario, the left original mesh is considered the left base mesh. As shown in FIG. 7, the left original mesh and its symmetric reflected counterpart become the base mesh. FIG. 7 illustrates an example polygon mesh 700 having a left side 700A and a right side 700B. As shown in FIG. 7, the left original vertices are nearly perfectly symmetric with the right base mesh vertices. In this regard, the displacement between the left base mesh vertices and the left original vertices is zero. Therefore, the left original vertices can be treated as the left base mesh, in which case the displacement between the left original vertices and the left base mesh is zero. As a result, during encoding, the displacement of the left side 700A is erased from the bitstream, which can result in higher efficiency.

[0041] According to one or more embodiments, the input mesh is nearly symmetric and perfect. Examples of this type of input mesh include examples of one-to-one mapping per vertex through a plane of symmetry, where the mapping is also in the direction normal to the plane of symmetry. For example, FIG. 8 shows an example polygon mesh 800 having a left side 800A and a right side 800B. As shown in FIG. 8, the left original vertices are nearly symmetric with the right base mesh vertices. In this regard, the left original mesh vertices and the right base mesh vertices become the base mesh, and one displacement is required to encode each right vertex, i.e., Formula (1)v right= v left +d where d is the scalar displacement offset.

[0042] In this regard, the right original vertex is displaced from the right base mesh vertex in one direction (e.g., horizontally) by a magnitude d. In contrast to Figure 8, Figures 6 and 7 show examples where the displacement from the base mesh is two-dimensional (e.g., horizontally and vertically). Under this constraint, a significant amount of bits is saved for displacement coding.

[0043] 9 shows a flowchart of one embodiment of an encoding process 900. The encoding process may be performed by an encoder such as encoder 203 (FIG. 2) implementing encoding framework 400 (FIG. 4). The process may begin at operation S902, where a polygon mesh including a plurality of original vertices is received. For example, with reference to FIG. 6, polygon mesh 600 may be received having a left original vertex and a right original vertex.

[0044] Processing proceeds to operation S904, where an initial base mesh is derived from the polygon mesh. For example, referring to FIG. 6, the left base mesh vertices on side 600A may be derived as the initial base mesh. Processing proceeds to operation S906, where a symmetrization operation is performed on the initial base mesh to generate a symmetric base mesh. For example, referring to FIG. 6, the right base mesh vertices on side 600B may be derived as symmetric vertices with respect to the left base mesh vertices.

[0045] Processing continues to operation S908, where displacements between the base mesh vertices and the original vertices are determined. For example, referring to FIG. 6A , the displacement between each original vertex on the right side 600B and the nearest right base mesh vertex may be determined. Additionally, if the left side 600A does not contain zero displacements, the displacement between each original vertex on the left side 600A and the nearest left base mesh vertex may be determined. Processing continues to operation S910, where a coded video bitstream is generated. The coded video bitstream may include at least the left side base mesh vertices and the determined displacements.

[0046] 10 shows a flowchart of one embodiment of a decoding process 1000. The decoding process may be performed by a decoder, such as decoder 210 (FIG. 2) implementing decoding framework 500 (FIG. 5). The process may begin at operation S1000, where a coded video bitstream is received. With reference to FIGS. 6 and 9, the coded video bitstream may correspond to the bitstream generated at operation S910 and includes the left base mesh vertices and the determined displacements.

[0047] Processing continues to operation S1002, where a first side of the base mesh is reconstructed. For example, referring to FIG. 6, the left side base mesh vertices of side 600A may be reconstructed. Processing continues to operation S1004, where a second side of the base mesh is reconstructed. For example, referring to FIG. 6, the right side base mesh vertices may be derived based on the left side base mesh vertices based on symmetry between the left side base mesh vertices and the right side base mesh vertices.

[0048] Processing continues to operation S1006, where the original vertices of the polygon mesh are reconstructed. For example, referring to FIG. 6, the original vertices on the right side may be reconstructed based on each right base mesh vertex and the corresponding displacements included in the bitstream. Similarly, the original vertices on the left side may be reconstructed based on each left base mesh vertex and the corresponding displacements included in the bitstream. Processing continues to operation S1008, where the polygon mesh is reconstructed. For example, referring to FIG. 6, after the original left vertices and original right vertices have been reconstructed, polygon mesh 600 is reconstructed.

[0049] The techniques described above may be implemented as computer software using computer-readable instructions and physically stored on one or more computer-readable media. For example, Figure 11 illustrates a computer system 1100 suitable for implementing certain embodiments of the present disclosure.

[0050] Computer software may be coded using any suitable machine code or computer language subject to mechanisms such as assembly, compilation, linking, etc. to create code containing instructions that can be executed by a computer central processing unit (CPU), graphics processing unit (GPU), etc. directly, or via interpretation, microcode execution, etc.

[0051] The instructions may be executed on various types of computers or components thereof, including, for example, personal computers, tablet computers, servers, smartphones, gaming consoles, Internet of Things devices, and the like.

[0052] 11 for computer system 1100 are examples and are not intended to suggest any limitation on the scope of use or functionality of the computer software implementing embodiments of the present disclosure. The arrangement of components should not be construed as having any dependency or requirement on any one or combination of components shown in the non-limiting embodiment of computer system 1100.

[0053] The computer system 1100 may include certain human interface input devices. Such human interface input devices may respond to input by one or more human users, for example, via tactile input (e.g., keystrokes, swipes, data glove movements), audio input (e.g., voice, clapping), visual input (e.g., gestures), or olfactory input (not shown). Human interface devices may also be used to capture certain media that are not necessarily directly related to conscious human input, such as sound (e.g., speech, music, ambient sounds), images (e.g., scanned images, photographic images obtained from a still image camera), and video (e.g., two-dimensional video, three-dimensional video including stereoscopic video).

[0054] The input human interface devices may include one or more of a keyboard 1101, a mouse 1102, a trackpad 1103, a touchscreen 1110, a data glove, a joystick 1105, a microphone 1106, a scanner 1107, and a camera 1108 (only one of each is shown).

[0055] The computer system 1100 may also include certain human interface output devices. Such human interface output devices may stimulate one or more of a human user's senses, for example, through tactile output, sound, light, and smell / taste. Such human interface output devices may include haptic output devices (such as haptic feedback via a touchscreen 1110, data gloves, or joystick 1105, although some haptic feedback devices may not function as input devices). For example, such devices may be audio output devices (such as speakers 1109, headphones (not shown)), visual output devices (such as screens 1110, including CRT screens, LCD screens, plasma screens, and OLED screens, each with or without touchscreen input capabilities and each with or without haptic feedback capabilities, some of which may output two-dimensional visual output or three-dimensional hypervisible output via means such as stereoscopic output, virtual reality glasses (not shown), holographic displays, smoke tanks (not shown), and printers (not shown).

[0056] The computer system 1100 may also include human-accessible storage devices and their associated media, such as optical media including CD / DVD ROM / RW 1120 with media 1121 such as CD / DVD, thumb drives 1122, removable hard drives or solid state drives 1123, legacy magnetic media such as tape and floppy disks (not shown), dedicated ROM / ASIC / PLD-based devices such as security dongles (not shown), etc.

[0057] Those skilled in the art should also understand that the term "computer-readable medium" as used in connection with the subject matter of this disclosure does not encompass transmission media, carrier waves, or other transitory signals.

[0058] The computer system 1100 may also include interfaces to one or more communication networks. The networks may be wireless, wired, or optical. The networks may further be local, wide-area, metropolitan, vehicular, industrial, real-time, delay-tolerant, etc. Examples of networks include local area networks such as Ethernet and wireless LAN; cellular networks including GSM, 3G, 4G, 5G, LTE, etc.; television wired or wireless wide-area digital networks including cable, satellite, and terrestrial television; vehicular and industrial networks including CANBus; and so on. Certain networks generally require an external network interface adapter attached to a particular general-purpose data port or peripheral bus 1149 (e.g., a USB port on the computer system 1100); others are generally integrated into the core of the computer system 1100 by attaching to a system bus, as described below (e.g., an Ethernet interface to a PC computer system or a cellular network interface to a smartphone computer system). Using any of these networks, the computer system 1100 can communicate with other entities. Such communications may be one-way receive only (e.g., broadcast TV), one-way transmit only (e.g., CANbus to a particular CANbus device), or two-way, e.g., to other computer systems using local-area or wide-area digital networks. Such communications may include communications to a cloud computing environment 1155. Specific protocols and protocol stacks may be used in each of those networks and network interfaces, as described above.

[0059] The aforementioned human interface devices, human-accessible storage devices, and network interface 1154 may be attached to the core 1140 of the computer system 1100 .

[0060] The core 1140 may include one or more central processing units (CPUs) 1141, graphics processing units (GPUs) 1142, dedicated programmable processing units in the form of field programmable gate arrays (FPGAs) 1143, hardware accelerators 1144 for specific tasks, etc. These devices, along with read-only memory (ROM) 1145, random access memory 1146, and internal mass storage 1147, such as an internal hard drive or SSD, that is not user accessible, may be connected via a system bus 1148. In some computer systems, the system bus 1148 may be accessible in the form of one or more physical plugs to allow expansion with additional CPUs, GPUs, etc. Peripheral devices may be attached directly to the core's system bus 1148 or via a peripheral bus 1149. Architectures for peripheral buses include PCI, USB, etc. A graphics adapter 1150 may be included in the core 1140.

[0061] The CPU 1141, GPU 1142, FPGA 1143, and accelerator 1144 can execute specific instructions that, in combination, may constitute the above-mentioned computer code. That computer code may be stored in ROM 1145 or RAM 1146. Temporary data may also be stored in RAM 1146, while permanent data may be stored, for example, in internal mass storage 1147. Fast storage and retrieval from any memory device may be enabled through the use of cache memory, which may be closely associated with one or more of the CPU 1141, GPU 1142, mass storage 1147, ROM 1145, RAM 1146, etc.

[0062] The computer-readable medium may bear computer code for performing various computer-implemented operations. The medium and computer code may be those specially designed and constructed for the purposes of the present disclosure, or they may be of the kind well known and available to those skilled in the computer software arts.

[0063] By way of example and not limitation, a computer system having architecture 1100, and specifically core 1140, can provide functionality as a result of a processor (including a CPU, GPU, FPGA, accelerator, etc.) executing software embodied in one or more tangible computer-readable media. Such computer-readable media may be user-accessible mass storage as described above, as well as media associated with specific storage of core 1140 that is non-transitory in nature, such as core internal mass storage 1147 or ROM 1145. Software implementing various embodiments of the present disclosure may be stored on such devices and executed by core 1140. The computer-readable media may include one or more memory devices or chips, depending on particular needs. The software can cause core 1140, and specifically the processor therein (including a CPU, GPU, FPGA, etc.), to perform particular processes or particular portions of particular processes described herein, including defining data structures stored in RAM 1146 and modifying such data structures according to software-defined operations. Additionally or alternatively, a computer system may provide functionality as a result of logic hardwired or otherwise embodied in circuitry (e.g., accelerator 1144), which may operate in place of or in conjunction with software to perform particular operations, or portions of particular operations, described herein. References to software may also encompass logic, where appropriate, and vice versa. References to computer-readable media may encompass circuitry (such as an integrated circuit (IC)) that stores software for execution, circuitry that embodies logic for execution, or both, where appropriate. The present disclosure encompasses any suitable combination of hardware and software.

[0064] While this disclosure has described several non-limiting embodiments, there are modifications, permutations, and various substitute equivalents that fall within the scope of this disclosure. It will thus be appreciated that those skilled in the art will be able to devise numerous systems and methods that, although not explicitly shown or described herein, embody the principles of the present disclosure and are therefore within the spirit and scope of the present disclosure.

[0065] The above disclosure also encompasses the embodiments listed below.

[0066] (1) A method of video encoding performed by at least one processor, the method comprising: receiving a polygon mesh including a plurality of original vertices; deriving an initial base mesh from the polygon mesh, the initial base mesh including a first base mesh vertex set; performing a symmetrization operation on the initial base mesh to generate a symmetric base mesh including a first side having the first base mesh vertex set and a second side having a second base mesh vertex set, each base mesh vertex in the first base mesh vertex set having a corresponding symmetry vertex in the second base mesh vertex set; determining a first displacement between each original vertex of the polygon mesh located on the second side of the symmetric base mesh and a nearest vertex included in the second base mesh vertex set; and generating a coded video bitstream including at least the first base mesh vertex set and each determined first displacement.

[0067] (2) The method of feature (1), further comprising determining a second displacement between each original vertex of the polygon mesh located on the first side of the symmetric base mesh and a nearest vertex included in the first base mesh vertex set, wherein the coded video bitstream further includes each determined second displacement.

[0068] (3) The method of features (1) or (2), wherein the at least one determined first displacement includes a vertical displacement and a horizontal displacement.

[0069] (4) The method of any one of features (1) to (3), wherein the at least one determined second displacement includes a vertical displacement and a horizontal displacement.

[0070] (5) The method of any one of features (1) to (4), wherein each determined first displacement is limited to one of a horizontal displacement and a vertical displacement.

[0071] (6) The method of any one of features (1) to (5), wherein the symmetrization process further comprises generating a symmetry plane included in the coded video bitstream.

[0072] (7) The method of any one of features (1) to (6), wherein each base vertex of the first base mesh vertex set has zero displacement with each original vertex located on the first side.

[0073] (8) at least one memory configured to store program code; and at least one processor configured to read the program code and operate when instructed by the program code, the program code configured to cause the at least one processor to receive a polygon mesh including a plurality of original vertices; and a deriving program configured to cause the at least one processor to derive an initial base mesh from the polygon mesh, the initial base mesh including a first base mesh vertex set; and a deriving program configured to cause the at least one processor to generate a symmetric base mesh including a first side having the first base mesh vertex set and a second side having a second base mesh vertex set. and at least one processor including: an operation configured to cause a symmetrization operation on an initial base mesh to generate a symmetrized base mesh, wherein each base mesh vertex in a first base mesh vertex set has a corresponding symmetry vertex in a second base mesh vertex set; a first determining operation configured to cause the at least one processor to determine a first displacement between each original vertex of a polygon mesh located on a second side of the symmetric base mesh and a nearest vertex included in the second base mesh vertex set; and a generating operation configured to cause the at least one processor to generate a coded video bitstream including at least the first base mesh vertex set and each determined first displacement.

[0074] (9) The encoder of feature (8), further comprising a second determining step configured to cause at least one processor to determine a second displacement between each original vertex of the polygon mesh located on a first side of the symmetric base mesh and a nearest vertex included in the first base mesh vertex set, wherein the coded video bitstream further includes each determined second displacement.

[0075] (10) The decoder of features (8) or (9), wherein the at least one determined first displacement includes a vertical displacement and a horizontal displacement.

[0076] (11) The encoder of any one of features (8) to (10), wherein the at least one determined second displacement includes a vertical displacement and a horizontal displacement.

[0077] (12) The encoder of any one of features (8) to (11), wherein each determined first displacement is limited to one of a horizontal displacement and a vertical displacement.

[0078] (13) The encoder of any one of features (8) to (12), wherein the symmetrization process further comprises generating a symmetry plane included in the coded video bitstream.

[0079] (14) The encoder of any one of features (8) to (13), wherein each base vertex of the first base mesh vertex set has zero displacement with each original vertex located on the first side.

[0080] (15) A non-transitory computer-readable medium having stored therein instructions, when executed by at least one processor in an encoder, that cause the at least one processor to: receive a polygon mesh including a plurality of original vertices; derive an initial base mesh from the polygon mesh, the initial base mesh including a first base mesh vertex set; perform a symmetrization operation on the initial base mesh to generate a symmetric base mesh including a first side having the first base mesh vertex set and a second side having a second base mesh vertex set, wherein each base mesh vertex in the first base mesh vertex set has a corresponding symmetry vertex in the second base mesh vertex set; determine a first displacement between each original vertex of the polygon mesh located on the second side of the symmetric base mesh and a nearest vertex in the second base mesh vertex set; and generate a coded video bitstream including at least the first base mesh vertex set and each determined first displacement.

[0081] (16) The non-transitory computer-readable medium of feature (15), wherein the instructions further cause the at least one processor to determine a second displacement between each original vertex of the polygon mesh located on a first side of the symmetric base mesh and a nearest vertex included in the first base mesh vertex set, and the coded video bitstream further includes each determined second displacement.

[0082] (17) The non-transitory computer-readable medium of any one of features (15) or (16), wherein the at least one determined first displacement includes a vertical displacement and a horizontal displacement.

[0083] (18) The non-transitory computer-readable medium of any one of features (15) to (17), wherein the at least one determined first side displacement includes a vertical displacement and a horizontal displacement.

[0084] (19) The non-transitory computer-readable medium of any one of features (15) to (19), wherein each determined first displacement is limited to one of a horizontal displacement and a vertical displacement.

[0085] (20) The non-transitory computer-readable medium of any one of features (15) to (20), wherein the symmetrization process further includes generating a symmetry plane included in the coded video bitstream. [Explanation of symbols]

[0086] 100 systems 110 terminals 120 terminals 130 terminals 140 terminals 150 Network 200 Streaming System 201 Video Sources 202 Sample Stream 203 Encoder 204 Video Bitstream 205 Streaming Server 206 Streaming Client 209 Video Bitstream 210 Video Decoder 211 Outgoing Video Sample Stream 212 Display 213 Capture Subsystem 400 Encoding Framework 402 Base mesh derivation 404 Symmetry Processing 406 Symmetrical Division 408 Displacement Coding 408A Right Base Mesh Vertex 408B Original vertex 410 Base Mesh Encoding 412 Symmetry Plane Signaling 414 bitstream 500 Decoding Framework 502 bitstream 504-based mesh decoding 506 Symmetric Plane Decoding 508 Symmetry Prediction 510 Displacement Decoding 510A Right Base Mesh Vertex 510B Original apex 600 polygon mesh 600A left side 600B right side 700 polygon mesh 700A left side 700B right side 800 polygon mesh 800A left side 800B right side 900 Encoding Process 1000 decoding processes 1100 Computer Systems 1101 Keyboard 1102 Mouse 1103 Trackpad 1105 Data Gloves, Joystick 1106 Microphone 1107 Scanner 1108 Camera 1109 Speaker 1110 Touchscreen 1121 CD / DVD and other media 1120 Optical media including CD / DVD ROM / RW 1122 thumb drive 1123 Removable Hard Drive or Solid State Drive 1140 cores 1141 Central Processing Unit (CPU) 1142 Graphics Processing Unit (GPU) 1143 Field Programmable Gate Area (FPGA) 1144 Accelerator 1145 Read-Only Memory (ROM) 1146 Random Access Memory (RAM) 1147 Internal Mass Storage 1148 System Bus 1149 Peripheral Bus 1150 graphics adapter 1154 Network Interface

Claims

1. 1. A method of video encoding performed by at least one processor, the method comprising: receiving a polygon mesh including a plurality of original vertices; deriving an initial base mesh from the polygon mesh, the initial base mesh including a first base mesh vertex set; performing a symmetrization process on the initial base mesh to generate a symmetric base mesh including a first side having the first base mesh vertex set and a second side having a second base mesh vertex set, wherein each base mesh vertex of the first base mesh vertex set has a corresponding symmetry vertex of the second base mesh vertex set; determining a first displacement between each original vertex of the polygon mesh located on the second side of the symmetric base mesh and a nearest vertex in the second base mesh vertex set; generating a coded video bitstream including at least the first base mesh vertex set and each determined first displacement; A method comprising:

2. determining a second displacement between each original vertex of the polygon mesh located on the first side of the symmetric base mesh and a nearest vertex in the first base mesh vertex set; further comprising The method of claim 1 , wherein the coded video bitstream further includes each determined second displacement.

3. The method of claim 1 , wherein the at least one determined first displacement includes a vertical displacement and a horizontal displacement.

4. The method of claim 1 , wherein the at least one determined second displacement includes a vertical displacement and a horizontal displacement.

5. The method of claim 1 , wherein each determined first displacement is limited to one of a horizontal displacement and a vertical displacement.

6. The method of claim 1 , wherein the symmetrization process further comprises generating a symmetry plane included in the coded video bitstream.

7. The method of claim 1 , wherein each base vertex of the first base mesh vertex set has zero displacement with each original vertex located on the first side.

8. An encoder configured to perform a method according to any one of claims 1 to 7.

9. A computer program for causing a computer to carry out the method according to any one of claims 1 to 7.

Images