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TitleBlending implicit interval curves and surfaces
Author(s) Qun Lin, J.G. Rokne
TypeArticle in Journal
AbstractThis paper is concerned with blending algebraic implicit curve and surface representation where the functional representations have inaccuracies. Algebraic implicit interval curves and surfaces are first defined as interval algebraic objects. The interval Buchberger algorithm, relying on polynomial interval division, is then outlined. General blending problems for algebraic implicit curves and surfaces are considered and various continuity conditions are applied. Computational cases are developed for specific problems.
KeywordsAlgebraic implicit curves, Algebraic implicit surfaces, Interval analysis, Buchberger’s algorithm, Gröbner bases, Blending problems
ISSN0096-3003
URL http://www.sciencedirect.com/science/article/pii/S0096300309009126
LanguageEnglish
JournalApplied Mathematics and Computation
Volume215
Number9
Pages3249 - 3264
Year2010
Edition0
Translation No
Refereed No
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