From Degenerate Patches to Triangular and Trimmed Patches

From Degenerate Patches to Triangular and Trimmed Patches (1997)

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by Marc Vigo , Núria Pla , Pere Brunet

Venue:	CURVES AND SURFACES
Citations:	1 - 1 self

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Datum	Value	Source
TITLE	From Degenerate Patches to Triangular and Trimmed Patches	user correction - Legacy Corrections
AUTHOR NAME	Marc Vigo	user correction
AUTHOR AFFIL	Universitat Polit`ecnica de Catalunya; Computer Graphics section, Software Department, E.T.S.E.I.B.	user correction
AUTHOR ADDR	Avda. Diagonal 647, Pta. 8, 08028 Barcelona	user correction
AUTHOR NAME	Núria Pla	user correction
AUTHOR NAME	Pere Brunet	user correction
AUTHOR AFFIL	Universitat Polit`ecnica de Catalunya; Computer Graphics section, Software Department, E.T.S.E.I.B.	user correction
AUTHOR ADDR	Avda. Diagonal 647, Pta. 8, 08028 Barcelona	user correction
ABSTRACT	CAD systems are usually based on a tensor product representation of free form surfaces. In this case, trimmed patches are used for modeling non rectangular zones. Trimmed patches provide a reasonable solution for the representation of general topologies, provided that the gap between equivalent trimming curves in the euclidean space is small enough. Several commercial CAD systems, however, represent certain non rectangular surface regions through degenerate rectangular patches. Degenerate patches produce rendering artifacts and can lead to malfunctions in the subsequent geometric operations. In the present paper, two algorithms for converting degenerate tensor-product patches into triangular and trimmed rectangular patches are presented. The algorithms are based on specific degree reduction algorithms for B'ezier curves. In both algorithms, the final surface approximates the initial one in a quadratic sense while inheriting its boundary curves. In the second one, " \Gamma G 1 cont...	user correction
YEAR	1997	INFERENCE
VENUE	CURVES AND SURFACES	user correction
VENUE TYPE	CONFERENCE	INFERENCE
CITATIONS	7 found	ParsCit 1.0