Jacobians and Hessians of Mean Value Coordinates for Closed Triangular Meshes

09/09/2011

∙

In this technical note, we present the formulae of the derivatives of the Mean Value Coordinates based transformations, using an enclosing triangle mesh, acting as a cage for the deformation of an interior object.

READ FULL TEXT

Jacobians and Hessians of Mean Value Coordinates for Closed Triangular Meshes

3D Texture Coordinates on Polygon Mesh Sequences

DeepMetaHandles: Learning Deformation Meta-Handles of 3D Meshes with Biharmonic Coordinates

Fat Pad Cages for Facial Posing

Modelling Developable Ribbons Using Ruling Bending Coordinates

Positive Geometries for Barycentric Interpolation

Two-dimensional mesh generator in generalized coordinates implemented in Python

Improved Mesh Processing using Distorted Pole Spherical Coordinates

Jacobians and Hessians of Mean Value Coordinates for Closed Triangular Meshes

Related Research

3D Texture Coordinates on Polygon Mesh Sequences

DeepMetaHandles: Learning Deformation Meta-Handles of 3D Meshes with Biharmonic Coordinates

Fat Pad Cages for Facial Posing

Modelling Developable Ribbons Using Ruling Bending Coordinates

Positive Geometries for Barycentric Interpolation

Two-dimensional mesh generator in generalized coordinates implemented in Python

Improved Mesh Processing using Distorted Pole Spherical Coordinates