Details:
Title  Blending implicit interval curves and surfaces  Author(s)  Qun Lin, J.G. Rokne  Type  Article in Journal  Abstract  This 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.  Keywords  Algebraic implicit curves, Algebraic implicit surfaces, Interval analysis, Buchberger’s algorithm, Gröbner bases, Blending problems  ISSN  00963003 
URL 
http://www.sciencedirect.com/science/article/pii/S0096300309009126 
Language  English  Journal  Applied Mathematics and Computation  Volume  215  Number  9  Pages  3249  3264  Year  2010  Edition  0  Translation 
No  Refereed 
No 
