Unified spatial intersection algorithms based on conformal geometric algebra

DOI10.1155/2016/7412373zbMath1400.68252OpenAlexW2552018918WikidataQ59141175 ScholiaQ59141175MaRDI QIDQ1793524

Renyi Liu, Xiaoyi Zhang, Yingzhi Wang, Xiaomin Jiang, Feng Zhang, Zhenhong Du

Publication date: 12 October 2018

Published in: Mathematical Problems in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/7412373

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Clifford algebras, spinors (15A66)

Related Items (2)

Constructing Voronoi diagrams from hollow spheres using conformal geometric algebra ⋮ An unified CGA-based formal expression of spatio-temporal topological relations for Computation and analysis of geographic objects

Uses Software

• CLIFFORD
• CLUCalc
• Gaigen
• GA-Coupling Analyzer

Cites Work

• Unnamed Item
• Geometric algebra-based modeling and analysis for multi-layer, multi-temporal geographic data
• Foundations of geometric algebra computing.
• \(G_{6,3}\) geometric algebra; description and implementation
• Clifford algebra to geometric calculus. A unified language for mathematics and physics
• Geometric algebra with applications in engineering
• Oriented conformal geometric algebra
• A hierarchical representation and computation scheme of arbitrary-dimensional geometrical primitives based on CGA
• Mathematics of Clifford -- a Maple package for Clifford and Graßmann algebras
• Crystal planes and reciprocal space in Clifford geometric algebra
• ERIT—A Collection of Efficient and Reliable Intersection Tests

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