DeepAI AI Chat
Log In Sign Up

Dihedral Rigidity and Deformation

by   Nina Amenta, et al.
University of California-Davis

We consider defining the embedding of a triangle mesh into R^3, up to translation, rotation, and scale, by its vector of dihedral angles. Theoretically, we show that locally, almost everywhere, the map from realizable vectors of dihedrals to mesh embeddings is one-to-one. We experiment with a heuristic method for mapping straight-line interpolations in dihedral space to interpolations between mesh embeddings and produce smooth and intuitively appealing morphs between three-dimensional shapes.


page 1

page 2

page 3

page 4


N-Cloth: Predicting 3D Cloth Deformation with Mesh-Based Networks

We present a novel mesh-based learning approach (N-Cloth) for plausible ...

Tetrisation of triangular meshes and its application in shape blending

The As-Rigid-As-Possible (ARAP) shape deformation framework is a versati...

Foldover-free maps in 50 lines of code

Mapping a triangulated surface to 2D space (or a tetrahedral mesh to 3D ...

Metric Based Quadrilateral Mesh Generation

This work proposes a novel metric based algorithm for quadrilateral mesh...

Modelling Developable Ribbons Using Ruling Bending Coordinates

This paper presents a new method for modelling the dynamic behaviour of ...

MICP-L: Fast parallel simulative Range Sensor to Mesh registration for Robot Localization

Triangle mesh-based maps have proven to be a powerful 3D representation ...

A Report on Shape Deformation with a Stretching and Bending Energy

In this report we describe a mesh editing system that we implemented tha...