Local Shape Deformation With Adaptive Vertex Influence
Find Innovative SolutionsGenerate Solutions
Solution Overview
Problem
Existing localized deformation tools in computer graphics are slow, unaware of geometry, introduce artifacts, or require careful control point setup, limiting their practicality for interactive design.
Innovation Solution
An image processing system employing a bird loss regularization term and a three-block ADMM approach to minimize an energy function, enabling real-time local deformation with an adaptive region of influence that adapts to shape geometry and deformation size, using a per-vertex function to manage vertex position changes.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Productivity
If existing localized deformation tools are used, then deformation can be applied to specific regions, but the tools are too slow to run for interactive design
Solution Approach 1:
The patent segments the deformation problem into local and global components by introducing a regularization term that acts locally on vertex positions while the elastic energy term handles global deformation. This segmentation allows the system to compute deformations efficiently by treating local and global effects separately yet simultaneously through the energy minimization framework.
Solution Approach 2:
The patent applies local quality by introducing a regularization term that operates differently at different spatial locations. The regularization term is applied locally to vertices based on their position changes, allowing the system to maintain high deformation speed in interacted regions while preserving stability in non-interacted regions, thus achieving real-time interactive performance.
2Manufacturing precision
If existing localized deformation tools are used, then deformation can be applied locally, but they introduce visual artifacts
Solution Approach 1:
The patent converts the potential harm of artifacts into a benefit by using the regularization term to control and smooth vertex position changes. Instead of allowing uncontrolled local deformations that create artifacts, the regularization term gently guides vertices back toward their rest positions, transforming what could be artifact-prone sharp local changes into smooth, artifact-free transitions.
Solution Approach 2:
The patent changes the parameter space by introducing a regularization parameter that controls the strength of the position change penalty. By adjusting this parameter, the system can balance between maintaining deformation accuracy and avoiding visual artifacts, achieving high manufacturing precision without the harmful artifacts that plague traditional local deformation tools.
3Ease of operation
If existing localized deformation tools are used, then deformation can be applied locally, but they require careful control point setup
Solution Approach 1:
The patent implements self-service by allowing the deformation system to automatically determine the appropriate region of influence and apply the regularization term without requiring manual control point setup. The energy minimization framework automatically adapts to the user's deformation intent, eliminating the need for users to carefully configure control points while maintaining ease of operation.
Solution Approach 2:
The patent achieves universality by creating a deformation system that works across different deformation scenarios without requiring scenario-specific control point configurations. The energy-based framework with regularization term provides a unified approach that handles various local deformation cases automatically, simplifying operation while reducing the complexity of control point setup.
4Adaptability or versatility
If existing localized deformation tools are used, then deformation can be applied locally, but they are unaware of the geometry
Solution Approach 1:
The patent introduces dynamics by making the regularization effect adaptive to the local geometry and deformation state. The regularization term dynamically adjusts its influence based on vertex position changes and local geometric properties, allowing the system to be geometry-aware while maintaining reliable deformation behavior across different geometric configurations.
Data Source
AI summary
Systems and methods provide local deformation for shapes. In accordance with some aspects, input to deform a shape is received. The shape comprises a plurality of vertices with each vertex having a vertex position. Based on the input, deformed vertex positions are determined for the plurality of vertices by minimizing an energy function that includes an elastic energy term and a regularization term that is a function of vertex position change for each vertex having a vertex position change below a threshold and a constant for each vertex having a vertex position change above the threshold. A deformed shape is generated based on the deformed vertex positions.