Robust Biharmonic Skinning Using Geometric Fields

Fuente: arXiv
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Autori principali: Dodik, Ana, Sitzmann, Vincent, Solomon, Justin, Stein, Oded
Natura: Preprint
Pubblicazione: 2024
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author Dodik, Ana
Sitzmann, Vincent
Solomon, Justin
Stein, Oded
author_facet Dodik, Ana
Sitzmann, Vincent
Solomon, Justin
Stein, Oded
contents Skinning is a popular way to rig and deform characters for animation, to compute reduced-order simulations, and to define features for geometry processing. Methods built on skinning rely on weight functions that distribute the influence of each degree of freedom across the mesh. Automatic skinning methods generate these weight functions with minimal user input, usually by solving a variational problem on a mesh whose boundary is the skinned surface. This formulation necessitates tetrahedralizing the volume bounded by the surface, which brings with it meshing artifacts, the possibility of tetrahedralization failure, and the impossibility of generating weights for surfaces that are not closed. We introduce a mesh-free and robust automatic skinning method that generates high-quality skinning weights comparable to the current state of the art without volumetric meshes. Our method reliably works even on open surfaces and triangle soups where current methods fail. We achieve this through the use of a Lagrangian representation for skinning weights, which circumvents the need for finite elements while optimizing the biharmonic energy.
format Preprint
id arxiv_https___arxiv_org_abs_2406_00238
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Robust Biharmonic Skinning Using Geometric Fields
Dodik, Ana
Sitzmann, Vincent
Solomon, Justin
Stein, Oded
Graphics
Machine Learning
I.3; I.3.5
Skinning is a popular way to rig and deform characters for animation, to compute reduced-order simulations, and to define features for geometry processing. Methods built on skinning rely on weight functions that distribute the influence of each degree of freedom across the mesh. Automatic skinning methods generate these weight functions with minimal user input, usually by solving a variational problem on a mesh whose boundary is the skinned surface. This formulation necessitates tetrahedralizing the volume bounded by the surface, which brings with it meshing artifacts, the possibility of tetrahedralization failure, and the impossibility of generating weights for surfaces that are not closed. We introduce a mesh-free and robust automatic skinning method that generates high-quality skinning weights comparable to the current state of the art without volumetric meshes. Our method reliably works even on open surfaces and triangle soups where current methods fail. We achieve this through the use of a Lagrangian representation for skinning weights, which circumvents the need for finite elements while optimizing the biharmonic energy.
title Robust Biharmonic Skinning Using Geometric Fields
topic Graphics
Machine Learning
I.3; I.3.5
url https://arxiv.org/abs/2406.00238