Efficient 2-dimensional approximate matching of non-rectangular figures
Efficient 2-dimensional approximate matching of non-rectangular figures
复制标题
非矩形图形的高效二维近似匹配
DOI:
10.1006/inco.1995.1047
复制
发表时间:
1991
期刊:
影响因子:
--
通讯作者:
Martín Farach
中科院分区:
文献类型:
--
作者:
A. Amir;Martín Farach
Finding all occurrences of a non-rectangular pattern of height m and area a in an n×n text with no more than k mismatch, insertion, and deletion errors is an important problem in computer vision. It can be solved using a dynamic programming approach in time O(an2). We show a O(kn2 √ m logm √ k log k + k2n2) algorithm which combines convolutions with dynamic programming. At the heart of the algorithm are the Smaller Matching Problem and the k-Aligned Ones with Location Problem. Efficient algorithms to solve both these problems are presented. The results presented in this paper appeared in the proceedings of the Second Symposium on Descrete Algorithms [AF91] College of Computing, Georgia Institute of Technology, Atlanta, GA 30332-0280; (404) 853-0083; amir@cc.gatech.edu; Partially supported by NSF grant IRI-9013055. DIMACS, Box 1179, Rutgers University, Piscataway, NJ 08855; (908) 932-5928; farach@dimacs.rutgers.edu