Stylized Mesh Deformation via Combined Shape-Space Interpolation
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Solution Overview
Problem
Conventional digital shape deformation systems face limitations in generating fluid and realistic deformations, lack artistic control, struggle with inverse kinematic applications, and require significant computational resources, often resulting in artifacts and inefficiencies.
Innovation Solution
The stylized mesh deformation system employs a combined shape-space, deformation interpolation measure and an as-rigid-as-possible-deformation measure within a reduced linear subspace to efficiently manipulate digital models, allowing for intuitive and realistic deformations by smoothly transitioning between input meshes while avoiding artifacts.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If as-rigid-as-possible deformation systems are used, then computational efficiency and simplicity are improved, but deformation fluidity and realism deteriorate
Solution Approach 1:
The patent applies different rigidity constraints to different regions of the mesh. By allowing flexible regions where vertices can move independently while maintaining rigid constraints in specific areas, the system achieves both computational efficiency and fluid deformation characteristics. This local differentiation resolves the contradiction between overall rigidity and local flexibility.
Solution Approach 2:
The system dynamically adjusts deformation characteristics based on user input and mesh configuration. Rather than applying fixed rigidity constraints, the system adapts its behavior to produce fluid deformations when needed while maintaining computational efficiency. This dynamic adjustment allows the system to switch between rigid and flexible modes as required.
2Adaptability or versatility
If example-based deformation systems are used, then artistic control and realism are improved, but computational complexity and processing time increase
Solution Approach 1:
The patent segments the deformation problem into independent vertex or face-level operations. By breaking down the complex example-based deformation into smaller, manageable units that can be processed independently, the system reduces overall computational complexity while maintaining artistic control through localized adjustments.
Solution Approach 2:
The system changes key parameters such as deformation magnitude, direction, and timing to achieve desired artistic effects. Rather than using complex global transformation matrices, the system adjusts simpler local parameters that can be independently controlled, reducing system complexity while maintaining versatility.
3Adaptability or versatility
If multiple input meshes are combined globally, then deformation variety is improved, but artifacts and discontinuities increase
Solution Approach 1:
The patent applies local quality by allowing different input meshes to be combined differently at different locations. Instead of a uniform global combination that causes artifacts, the system selectively blends mesh contributions based on local geometric characteristics and deformation requirements, eliminating discontinuities while maintaining variety.
Solution Approach 2:
The system introduces asymmetric blending weights and combination strategies that adapt to the specific geometry and deformation needs of each region. This asymmetric approach prevents the uniform global combination that causes artifacts, allowing each region to be processed according to its unique characteristics.
4Measurement precision
If inverse kinematic constraints are applied, then positional control accuracy is improved, but deformation smoothness deteriorates
Solution Approach 1:
The patent applies preliminary action by pre-calculating and storing valid deformation paths and transition trajectories. When inverse kinematic constraints are applied, the system retrieves pre-computed smooth deformation sequences that satisfy the constraints, rather than computing them in real-time, thus maintaining both positional accuracy and smoothness.
Solution Approach 2:
The system ensures continuity of useful action by maintaining continuous deformation trajectories even when inverse kinematic constraints are applied. The deformation process continues smoothly through constraint transitions, avoiding abrupt changes or discontinuities while preserving positional control accuracy throughout the animation.
Data Source
AI summary
The present disclosure includes methods and systems for manipulating digital models based on user input. In particular, disclosed systems and methods can generate modified meshes in real time based on a plurality of input meshes and user manipulation of one or more control points. For example, one or more embodiments of the disclosed systems and methods generate modified meshes from a plurality of input meshes based on a combined shape-space, deformation interpolation measure. Moreover, in one or more embodiments, the disclosed systems and methods utilize an as-rigid-as-possible-deformation measure to combine input meshes into a modified mesh. Further, the disclosed systems and methods can variably combine input shapes over different portions of a modified mesh, providing increased expressiveness while reducing artifacts and increasing computing efficiency.