Projectively invariant intersection detections for solid modeling

An intersection detection method for solid modeling which is invariant under projective transformations is presented. We redefine the fundamental geometric figures necessary to describe solid models and their dual figures in a homogeneous coordinate representation. Then we derive conditions, which a...

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Bibliographic Details
Published in:ACM Transactions on Graphics 1994-07, Vol.13 (3), p.277-299
Main Authors: Niizeki, Masatoshi, Yamaguchi, Fujio
Format: Article
Language:English
Subjects:
Applied computing
Architecture (buildings)
Arts and humanities
Computational geometry
Computations on matrices
Computer graphics
Computer-aided design
Computing methodologies
Engineering
Graphics systems and interfaces
Linear algebra algorithms
Mathematical analysis
Mathematics of computing
Numerical analysis
Physical sciences and engineering
Randomness, geometry and discrete structures
Shape modeling
Symbolic and algebraic algorithms
Symbolic and algebraic manipulation
Theory of computation
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