Title
Supporting exact indexing of arbitrarily rotated shapes and periodic time series under Euclidean and warping distance measures
Abstract
Shape matching and indexing is important topic in its own right, and is a fundamental subroutine in most shape data mining algorithms. Given the ubiquity of shape, shape matching is an important problem with applications in domains as diverse as biometrics, industry, medicine, zoology and anthropology. The distance/similarity measure for used for shape matching must be invariant to many distortions, including scale, offset, noise, articulation, partial occlusion, etc. Most of these distortions are relatively easy to handle, either in the representation of the data or in the similarity measure used. However, rotation invariance is noted in the literature as being an especially difficult challenge. Current approaches typically try to achieve rotation invariance in the representation of the data, at the expense of discrimination ability, or in the distance measure, at the expense of efficiency. In this work, we show that we can take the slow but accurate approaches and dramatically speed them up. On real world problems our technique can take current approaches and make them four orders of magnitude faster without false dismissals. Moreover, our technique can be used with any of the dozens of existing shape representations and with all the most popular distance measures including Euclidean distance, dynamic time warping and Longest Common Subsequence. We further show that our indexing technique can be used to index star light curves, an important type of astronomical data, without modification.
Year
DOI
Venue
2009
10.1007/s00778-008-0111-4
The Vldb Journal
Keywords
Field
DocType
Shape,Indexing,Dynamic time warping
Longest common subsequence problem,Image warping,Dynamic time warping,Similarity measure,Computer science,Euclidean distance,Algorithm,Pattern matching,Offset (computer science),Distance measures
Journal
Volume
Issue
ISSN
18
3
1066-8888
Citations 
PageRank 
References 
56
2.26
30
Authors
6
Name
Order
Citations
PageRank
Eamonn J. Keogh111859645.93
Li Wei2100644.62
Xiaopeng Xi353124.76
Michail Vlachos41899113.39
Sang-Hee Lee528720.03
Pavlos Protopapas612714.73