Surface/surface intersection

R. E. Barnhill; G. Farin; M. Jordan; B. R. Piper

doi:10.1016/0167-8396(87)90020-3

Surface/surface intersection

R. E. Barnhill, G. Farin, M. Jordan, B. R. Piper

Computing and Augmented Intelligence, School of (IAFSE-SCAI)

Research output: Contribution to journal › Article › peer-review

36 Scopus citations

Abstract

Finding the intersection of two surfaces is important for many Computer Aided Design tasks concerned with surface modeling. An adaptive algorithm is developed for finding the intersection curve(s) of pairs of rectangular parametric patches which are continuously differentiable. The balance between robustness and efficiency of the algorithm is controlled by a set of tolerances. A suite of examples concludes the paper.

Original language	English (US)
Pages (from-to)	3-16
Number of pages	14
Journal	Computer Aided Geometric Design
Volume	4
Issue number	1-2
DOIs	https://doi.org/10.1016/0167-8396(87)90020-3
State	Published - Jul 1987

Keywords

Surfaces
geometry
intersection
parametric patches

ASJC Scopus subject areas

Modeling and Simulation
Automotive Engineering
Aerospace Engineering
Computer Graphics and Computer-Aided Design

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10.1016/0167-8396(87)90020-3

Cite this

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title = "Surface/surface intersection",

abstract = "Finding the intersection of two surfaces is important for many Computer Aided Design tasks concerned with surface modeling. An adaptive algorithm is developed for finding the intersection curve(s) of pairs of rectangular parametric patches which are continuously differentiable. The balance between robustness and efficiency of the algorithm is controlled by a set of tolerances. A suite of examples concludes the paper.",

keywords = "Surfaces, geometry, intersection, parametric patches",

author = "Barnhill, {R. E.} and G. Farin and M. Jordan and Piper, {B. R.}",

year = "1987",

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AU - Barnhill, R. E.

AU - Farin, G.

AU - Jordan, M.

AU - Piper, B. R.

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N2 - Finding the intersection of two surfaces is important for many Computer Aided Design tasks concerned with surface modeling. An adaptive algorithm is developed for finding the intersection curve(s) of pairs of rectangular parametric patches which are continuously differentiable. The balance between robustness and efficiency of the algorithm is controlled by a set of tolerances. A suite of examples concludes the paper.

AB - Finding the intersection of two surfaces is important for many Computer Aided Design tasks concerned with surface modeling. An adaptive algorithm is developed for finding the intersection curve(s) of pairs of rectangular parametric patches which are continuously differentiable. The balance between robustness and efficiency of the algorithm is controlled by a set of tolerances. A suite of examples concludes the paper.

KW - Surfaces

KW - geometry

KW - intersection

KW - parametric patches

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Surface/surface intersection

Abstract

Keywords

ASJC Scopus subject areas

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