B-spline-Bezier representation of Tau-splines
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Authors
Lasser, Dieter
Subjects
CAD
CAGD
Bezier Curves
B-Spline Curves
Nu-Splines
Tau-Splines
Geometric Continuity
CAGD
Bezier Curves
B-Spline Curves
Nu-Splines
Tau-Splines
Geometric Continuity
Advisors
Date of Issue
1988-07
Date
1988-07
Publisher
Monterey, California. Naval Postgraduate School
Language
en_US
Abstract
This document presents a B-spline-Bezier representation of tau splines, curvature and torsion continuous quintics which have been introduced in CAGD by Hagen in 1985. Explicit formulas are given for the conversion of the B- spline-Bezier representation to the tau spline representation and vice versa, and conditions and certain ranges of tension values are derived which insure the positivity of the design parameters. Keywords: Geometric continuity, Computer aided geometric design. (KR)
Type
Technical Report
Description
Series/Report No
Department
Identifiers
NPS Report Number
NPS-53-88-006
Sponsors
National Research Council and funded by the Naval Postgraduate School.
Funder
Direct Funding
Format
Citation
Distribution Statement
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.