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Higher order Bezier circlesRational Bezier and B-spline representations of circles have been heavily publicized. However, all the literature assumes the rational Bezier segments in the homogeneous space are both planar and (equivalent to) quadratic. This creates the illusion that circles can only be achieved by planar and quadratic curves. Circles that are formed by higher order rational Bezier curves which are nonplanar in the homogeneous space are shown. The problem of whether it is possible to represent a complete circle with one Bezier curve is investigated. In addition, some other interesting properties of cubic Bezier arcs are discussed.
Document ID
19940017311
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Chou, Jin (Computer Sciences Corp. Mountain View, CA, United States)
Date Acquired
September 6, 2013
Publication Date
December 1, 1993
Subject Category
Mathematical And Computer Sciences (General)
Report/Patent Number
NAS 1.26:177633
A-94040
NASA-CR-177633
Accession Number
94N21784
Funding Number(s)
CONTRACT_GRANT: NAS2-12961
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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