A hierarchical representation and computation scheme of arbitrary-dimensional geometrical primitives based on CGA

DOI10.1007/s00006-016-0697-3zbMath1382.65055OpenAlexW2470019652MaRDI QIDQ1695110

Linwang Yuan, Zhaoyuan Yu, Wen Luo, Yong Hu, Guonian Lü

Publication date: 7 February 2018

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-016-0697-3

zbMATH Keywords

geometric algebrageometric computationdata structuregeometric computingtopological relationstriangle intersectionconformal geometric algebra (CGA)Delaunay-triangulated irregular network intersection

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Packaged methods for numerical algorithms (65Y15)

Related Items (7)

Quadric conformal geometric algebra of \({\mathbb {R}}^{9,6}\) ⋮ Mvtree for hierarchical network representation based on geometric algebra subspace ⋮ An interactive indoor 3D reconstruction method based on conformal geometry algebra ⋮ Three-dimensional quadrics in extended conformal geometric algebras of higher dimensions from control points, implicit equations and axis alignment ⋮ 3D topological error detection for cadastral parcels based on conformal geometric algebra ⋮ Unified spatial intersection algorithms based on conformal geometric algebra ⋮ New applications of Clifford's geometric algebra

Uses Software

• OpenCLLink

Cites Work

• Unnamed Item
• Geometric algebra for multidimension-unified geographical information system
• Foundations of geometric algebra computing.
• Geometric algebra enhanced precompiler for C++, OpenCL and Mathematica's OpenCLLink
• Finding the intersection of two convex polyhedra
• Embedded coprocessors for native execution of geometric algebra operations
• Primitives for the manipulation of general subdivisions and the computation of Voronoi

This page was built for publication: A hierarchical representation and computation scheme of arbitrary-dimensional geometrical primitives based on CGA