Coding and Compression of Three-Dimensional Meshes
Abstract
Abstract The present paper suggests a new approach for geometric representation of 3D spatial models and provides a new compression algorithm for 3D meshes, which is based on the mathematical theory of convex geometry. In our approach, we represent a 3D convex polyhedron by means of planes, containing only its faces. This allows us not to consider topological aspects of the problem (connectivity information among vertices and edges) since by means of the planes, we construct the polyhedron uniquely. Due to the fact that the topological data is ignored, this representation provides a high degree of compression. Also, plane-based representation provides a compression of geometrical data because most of the faces of the polyhedron are not triangles but polygons with more than three vertices.
Fields of Study & Subjects
Digital Image Processing Techniques
Computational Geometry and Mesh Generation
Advanced Materials and Mechanics
Publication details
- Journal / source
- Pattern Recognition and Image Analysis
- Publisher
- Pleiades Publishing Ltd
- Volume
- 36
- Issue
- 1
- Pages
- 132–137
- Publication date
- 1 March 2026
- Language
- EN