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Locality-Preserving Free-Form Deformation

2024/05/13 by Tsukasa Fukusato, Fukusato, Tsukasa, Akinobu Maejima +3 · 1 citation
Computer Science · Engineering · #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #FOS: Computer and information sciences #Graphics (cs.GR) #Structural Analysis and Optimization

paper · pdf · doi:10.48550/arxiv.2405.07450

openalex publication_date 2024/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper proposes a method to estimate the locations of grid handles in free-form deformation (FFD) while preserving the local shape characteristics of the 2D/3D input model embedded into the grid, named locality-preserving FFD (lp-FFD). Users first specify some vertex locations in the input model and grid handle locations. The system then optimizes all locations of grid handles by minimizing the distortion of the input model's mesh elements. The proposed method is fast and stable, allowing the user to directly and indirectly make the deformed shape of mesh model and grid. This paper shows some examples of deformation results to demonstrate the robustness of our lp-FFD. In addition, we conducted a user study and confirm our lp-FFD's efficiency and effectiveness in shape deformation is higher than those of existing methods used in commercial software.

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