Blending implicit interval curves and surfaces

摘要

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.