Bijective Projection in a Shell

Zhongshi Jiang, Teseo Schneider, Denis Zorin, Daniele Panozzo. ACM Transactions on Graphics (In Proceedings of SIGGRAPH Asia 2020)

Abstract

We introduce an algorithm to convert a self-intersection free, orientable, and manifold triangle mesh T into a generalized prismatic shell equipped with a bijective projection operator to map T to a class of discrete surfaces contained within the shell whose normals satisfy a simple local condition. Properties can be robustly and efficiently transferred between these surfaces using the prismatic layer as a common parametrization domain.

The combination of the prismatic shell construction and corresponding projection operator is a robust building block readily usable in many downstream applications, including the solution of PDEs, displacement maps synthesis, Boolean operations, tetrahedral meshing, geometric textures, and nested cages.

Installation

mkdir build
cd build
cmake -DCMAKE_BUILD_TYPE=Release ../
make

Usage

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