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Approximation by interval Bezier curves

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Permanent URL	http://hdl.lib.byu.edu/1877/1249
Title	Approximation by interval Bezier curves
BYU Creator	Sederberg, Thomas W.
Creator	Farouki, Rida T.
Keywords	approximation theory; computational geometry; polynomials; solid modelling; approximation errors; canonical representation
Description/Abstract	The interval Bezier curve, which, unlike other curve and surface approximation schemes, can transfer a complete description of approximation errors between diverse CAD/CAM systems that impose fundamentally incompatible constraints on their canonical representation schemes, is described. Interval arithmetic, which offers an essentially infallible way to monitor error propagation in numerical algorithms that use floating-point arithmetic is reviewed. Affine maps, the computations of which are key operations in the de Casteljau subdivision and degree-elevation algorithms for Bezier curves, the floating-point error propagation in such computations, approximation by interval polynomials, and approximation by interval Bezier curves are discussed.
Source	Sederberg, T. W., and R. T. Farouki. "Approximation by Interval Bezier Curves." Computer Graphics and Applications, IEEE 12.5 (1992): 87-95.;
Publisher	IEEE
Date Original	1992-09
Language	English eng en
Publication Type	Articles
Type	Text
Format	application/pdf
Owning Institution	Brigham Young University
BYU College	College of Physical and Mathematical Sciences
BYU Department	Computer Science
Copyright Status	(c) 1992 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.;
Copyright Use Information	http://www.lib.byu.edu/generic_copyright.html

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