Title
One-dimensional approximate point set pattern matching with Lp-norm
Abstract
Given two sets of points, the text and the pattern, determining whether the pattern ''appears'' in the text is modeled as the point set pattern matching problem. Applications usually ask for not only exact matches between these two sets, but also approximate matches. In this paper, we investigate a one-dimensional approximate point set pattern matching problem proposed in [19]. We generalize the measure between approximate matches from L"1-norm to L"p-norm. More specifically, what requested is an optimal match which minimizes the L"p-norm of the difference vector (|p"2-p"1-(t"2^'-t"1^')|,|p"3-p"2-(t"3^'-t"2^')|,...,|p"m-p"m"-"1-(t"m^'-t"m"-"1^')|), where p"1,p"2,...,p"m is the pattern and t"1^',t"2^',...,t"m^' is a subsequence of the text. For p-~, we propose an O(mn)-time algorithm, where m and n denote the lengths of the pattern and the text, respectively. For arbitrary p
Year
DOI
Venue
2014
10.1016/j.tcs.2013.11.022
Theor. Comput. Sci.
Keywords
DocType
Volume
One-dimensional approximate point set,exact match,approximate match,one-dimensional approximate point set,optimal match,difference vector,time algorithm,n denote,arbitrary p,point set pattern
Journal
521,
ISSN
Citations 
PageRank 
0304-3975
0
0.34
References 
Authors
7
2
Name
Order
Citations
PageRank
Hung-Lung Wang1275.63
Kuan-Yu Chen245055.78