Modified affine arithmetic in tensor form for trivariate polynomial evaluation and algebraic surface plotting

[摘要] This paper extends the modified affine arithmetic in matrix form method for bivariate polynomial evaluation and algebraic curve plotting in 2D to modified affine arithmetic in tensor form for trivariate polynomial evaluation and algebraic surface plotting in 3D. Experimental comparison shows that modified affine arithmetic in tensor form is not only more accurate but also much faster than standard affine arithmetic when evaluating trivariate polynomials. (c) 2005 Elsevier B.V. All rights reserved.

[发布日期] 2006-10-15

[效力级别]  Proceedings Paper

[关键词] interval arithmetic;affine arithmetic;algebraic surfaces