区间算术和仿射算术的研究与应用

寿华好; 王国瑾; 沈杰

doi:10.11834/jig.2006010227

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专辑

区间算术和仿射算术的研究与应用
A Survey on Research and Applications of Interval Arithmetic and Affine Arithmetic
2006年11卷第10期页码：1351
纸质出版：2006
DOI： 10.11834/jig.2006010227
稿件说明：

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寿华好, 王国瑾, 沈杰. 区间算术和仿射算术的研究与应用[J]. 中国图象图形学报, 2006,11(10):1351. DOI： 10.11834/jig.2006010227.

A Survey on Research and Applications of Interval Arithmetic and Affine Arithmetic[J]. Journal of Image and Graphics, 2006, 11(10): 1351. DOI： 10.11834/jig.2006010227.

摘要

综述了近几年来在计算机图形学及计算机辅助几何设计中得到广泛应用的区间算术、仿射算术及其修正形式——诸如矩阵或张量形式的修正仿射算术、递归Taylor方法的理论研究成果及应用情况

并对未来的研究方向和研究重点进行了探讨。

Abstract

A survey is given on interval arithmetic

affine arithmetic and their modifications such as the modified affine arithmetic in matrix or tensor form method as well as the recursive Taylor method and their applications in computer graphics and computer aided geometric design. Some future research directions and key issues are discussed.