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132 results about "Geometric analysis" patented technology

Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations are used to establish new results in differential geometry and differential topology. The use of linear elliptic PDEs dates at least as far back as Hodge theory. More recently, it refers largely to the use of nonlinear partial differential equations to study geometric and topological properties of spaces, such as submanifolds of Euclidean space, Riemannian manifolds, and symplectic manifolds. This approach dates back to the work by Tibor Radó and Jesse Douglas on minimal surfaces, John Forbes Nash Jr. on isometric embeddings of Riemannian manifolds into Euclidean space, work by Louis Nirenberg on the Minkowski problem and the Weyl problem, and work by Aleksandr Danilovich Aleksandrov and Aleksei Pogorelov on convex hypersurfaces. In the 1980's fundamental contributions by Karen Uhlenbeck, Clifford Taubes, Shing Tung Yau, Richard Schoen, and Richard Hamilton launched a particularly exciting and productive era of geometric analysis that continues to this day. A celebrated achievement was the solution to the Poincaré conjecture by Grigori Perelman, completing a program initiated and largely carried out by Richard Hamilton.

Method for calculation and regulation of integral time of star-loading TDICCD camera

The invention relates to a space borne TDICCD camera integral timing and adjusting method, which comprises the following steps: (1) the orbit is simulated with high precision in which positions parameters of photographed spots of the satellite under drift angle control or at different swinging angles are outputted such as vector coordinates and oblique distances of the photographed spots as well as vector simulation data for the satellite position; (2) the vector simulation data for the satellite position are analyzed to come out with the shift speeds of the photographed spots; (3) eliminate the radial-directional speeds from the shift speeds of the photographed spots to become the image motion speeds; (4) utilize the image motion speeds and the oblique distances of the photographed spots to obtain the integral times. The invention also provides a design method for TDICCD related parameters as well as a real-time adjusting method for integral times on the satellite under control of ground commands. The space borne TDICCD camera integral timing and adjusting method realizes an organic combination of simulation modeling with high precision and positional vector differential method, which eliminates errors introduced into the deduction process in traditional geometric analysis and calculation and controls error delivery to improve calculation precision; the arrival real-time adjusting method for integral times on the satellite ensures a reliable integral synchronous control.
Owner:AEROSPACE DONGFANGHONG SATELLITE

Multi-scale geometric analysis super-resolution processing method of video blurred image

The invention discloses a multi-scale geometric analysis super-resolution processing method of a video blurred image, belonging to the technical field of intelligent information processing. Single-frame blurred images or multi-frame blurred images are acquired by surveillance videos, the input blurred images are decomposed into low-frequency coefficients and high-frequency coefficients by NSCT, the blurred images are de-noised by an HMT model in the NSCT domain, edge details are enhanced by visual suppression networks, sub-band images with low-frequency coefficients and high-frequency coefficients are interpolated nonlinearly by a HyperBF neural network model, the processed NSCT decompression coefficients are reconstructed by NSCT, and the multi-scale Retinex algorithm is introduced to regulate the image contrast in accordance with human eye visual consciousness. The processing of multi-frame blurred images is based on an image fusion method in the MGT domain and a non-uniform interpolation method in the MGT domain. Without changing the hardware of traditional video surveillance imaging system, the method can effectively restrain common noise in video images and further improve the resolution and the definition of the blurred images.
Owner:江苏巨来信息科技有限公司

Image quality evaluation method based on multi-scale geometric analysis

The utility model discloses an image quality evaluation method based on multi-scale geometric analysis, mainly solving the problem that consistency is poor between image quality objective evaluation value and subjective evaluation value, comprising (1) The scale and direction sub-band decomposition is performed on reference image and evaluated image using multi-scale analysis method; (2) All decomposed sub-bands are weighted using contrast sensitivity function; (3) The vision perception threshold value of all coefficients are determined based on human eye vision perception property; (4) The proportion of coefficient which is more than the vision perception threshold value in sub-bands of every direction of reference image and evaluated image is calculated respectively; (5) The absolute value difference of the proportion of coefficient which is more than the vision perception threshold value in sub-bands of every direction of reference image and evaluated image is recorded, and then the evaluation measurement of image quality is defined based on the proportion absolute value difference. The utility model has the advantages of simple structure, small transmission data size, low calculating complexity, good consistency with subjective evaluation, and applicability to validity evaluation for image processing method.
Owner:XIDIAN UNIV

A surgical instrument calibration system and method for navigating surgery

The invention discloses a surgical instrument calibration system and method for navigating surgery. The calibration system includes a navigator, a calibration table, a calibration table reference mark, a surgical instrument reference mark, a computer and a display. When calibrating, only the surgical instrument is held and fixed on the standard position on the calibration table, the structural parameters of the calibration table are used, all the reference mark images of the surgical instrument and the calibration table are collected simultaneously by the navigation instrument at one time, andthe axial vector and the tip position of the surgical instrument are directly calculated by the geometric analysis algorithm software, the template position of the surgical instrument is recorded, and the calibration of the surgical instrument is completed. All parameters can be calibrated by this system in one time, which can greatly reduce the number of times of image acquisition, simplify thecalibration process, improve the accuracy and reliability of calibration, save time and labor, and make the whole calibration process with high efficiency and small error. The calibration process is simple and easy to operate, which can obviously reduce the risk of calibration failure and improve the success rate of calibration. The calibration table is simple in structure, accurate and reliable,and easy to manufacture and use.
Owner:BEIJING HURWA ROBOT MEDICAL TECH CO LTD

Novel method for designing super oleophobic surface structure

InactiveCN102020237AAchieving direct controllable designThe design process is intuitive and easy to understandNanostructure manufactureMicrostructural devicesEngineeringAnalysis method
The invention discloses a method for designing a super oleophobic surface structure and relates to the technical field of design and preparation of functional surfaces of micronano structures. The method comprises the following steps of: calculating the radius of the curved surface of the liquid-vapor interface according to the pressure intensity born by the work of the super oleophobic surface and the pressure intensity difference among gases (the pressure intensity difference of the liquid-vapor interface); determining the longest period of the micro structure according to the radius of the curved surface; determining the protuberant ratio of the structure according to the super oleophobic requirement; and finally, carrying out textual research on the contact state of oil liquid and the surface of the structure according to the structural form of the super oleophobic surface and the designed structural parameters (period to the protuberant ratio) and ensuring that the oil liquid is in a Cassie contact state. By using the geometrical analysis method, the special microstructure form and parameters are analyzed so as to realize the super oleophobic performance of the surface and the direct controllable design of the super oleophobic surface.
Owner:JIANGSU UNIV

Grid free-form surface toroidal cutter path planning method based on improved Butterfly subdivision

The invention discloses a grid free-form surface toroidal cutter path planning method based on improved Butterfly subdivision. The method comprises the steps of toroidal cutter surface modeling and triangular grid free-form surface modeling. Besides, the cutter surface of a cutter contact point (CC point) and a workpiece surface are geometrically analyzed with combination of the geometrical features of the toroidal cutter. The minimum front inclination angle of the cutter is calculated according to the principle of cutting cutter interference so as to obtain the maximum width of a cutting path, based on which subdivision is performed on the triangular grid surface by adopting the improved Butterfly subdivision method so that the line space of the cutter path is enabled to meet the width requirement of the cutting path. Planning of the spiral cutter path cutter contact point (CC point) is performed line by line along the boundary of the triangular grid with a surface contour curve acting as an initial cutter path so that the position of a cutter center (CL point) is finally solved according to the toroidal cutter geometrical model. The method is applied to high-speed machining so that continuity of the formed cutter path can be enhanced, cutter load fluctuation can be reduced, and cutting stability can be enhanced and the service life of the cutter can be prolonged under the premise of guaranteeing the cutting quality.
Owner:ZHEJIANG UNIV

Steady ultra-hydrophobic surface controllable design method based on geometric analysis

The invention provides a stabilizing ultra-hydrophobic surface controllable design method based on geometric analysis, relating to the fields of material research modeling and simulating material (compute) design, which is characterized in that firstly establishing parallel grating shaped or circular pit and other regular shaped microstructure surface model, according to the established microstructure feature, deriving the apparent contact angle theory predictor formula of the liquid droplet on the microstructure surface based on Wenzel theory and Cassie theory; at the same time, analyzing the C/W converting process on the microstructure surface from the geometric angle; then, pre-designing the geometric parameter of the established microstructure surface model, calculating the apparent contact angle of the liquid droplet on the microstructure surface by the apparent contact angle theory predictor formula derived above, determining whether the designed microstructure surface has ultra-hydrophobicity; at last, calculating h0 of pre-designed microstructure geometric parameter and the corresponding apparent contact angle derived from calculation, judging whether the designed microstructure surface has ultra-hydrophobic stability. The invention is direct viewing, and is easy to operate, which has strong controllability.
Owner:JIANGSU UNIV

Human body posture mapping method applied to action imitation of anthropomorphic robot

ActiveCN107953331AAccurate determination of attitudeImprove imitation similarityProgramme-controlled manipulatorNODALHuman body
The invention discloses a human body posture mapping method applied to action imitation of an anthropomorphic robot. The method comprises the following steps that 1) the three-dimensional position information of notes of human skeleton series is acquired through a depth camera; 2) vectors of the human skeleton series are constructed according to the notes of the human skeleton series, virtual human joints are established according to the vectors of the human skeleton series and the robot joint structure so as to form a human skeleton model; 3) a connecting rod reference coordinate system basedon connecting rods of the human skeleton model is established; 4) the human body mapping joint angles are calculated by utilizing the human body connecting rod skeleton vectors according to the structure characteristics of robot joints; and 5) the human body mapping joint angles are applied to robot joints according to the limit of each joint angle of the robot. The method has the advantages thatthe human body mapping joint angles can be accurately calculated by adopting a geometric analysis method based on the connecting rod skeleton vectors and the virtual human joints, the human body posture can be mapped to the robot end through the joint angles, and therefore the calculation loss is low, and the accuracy is high.
Owner:SOUTH CHINA UNIV OF TECH

Picture segmentation method and device, storage medium and computer equipment

The invention provides a picture segmentation method. The method comprises that a picture to be segmented is obtained, a convolutional kernel is used to carry out edge extraction on the picture to besegmented to obtain an edge feature map, a corresponding edge binary image is obtained according to the edge feature map, straight line analysis is carried out on the edge binary image to obtain a straight line analysis formula corresponding to the edge binary image, and candidate straight line combinations that can form a polygon are determined according to the straight line analysis formula; candidate parameter information is calculated according to geometric information of the polygon and geometric information of the picture to be segmented, and the candidate parameter information matches standard parameter information to screen a target polygon; and a target straight line combination corresponding to the target polygon is obtained from the candidate straight line combinations, and a target segmentation area of the picture to be segmented is determined according to the target straight line analysis formula corresponding to the target straight line combination. Operation is more convenient via accurate edge extraction and geometric analysis. The invention also provides a picture segmentation device, a storage medium and computer equipment.
Owner:TENCENT TECH (SHENZHEN) CO LTD
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