Classification of signature curves using latent semantic analysis

Authors:
Cheri Shakiban;Ryan Lloyd
Affiliations:
Department of Mathematics, University of St. Thomas, St. Paul, MN;Department of Mathematics, University of St. Thomas, St. Paul, MN
Venue:
IWMM'04/GIAE'04 Proceedings of the 6th international conference on Computer Algebra and Geometric Algebra with Applications
Year:
2004

Citing 2
Cited 2

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Numerically Invariant Signature Curves

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A survey of moving frames

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Automatic Solution of Jigsaw Puzzles

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Abstract

In this paper we describe the Euclidean signature curves for two dimensional closed curves in the plane and will give a discrete numerical method for finding such invariant curves. Further we describe an analog of Latent Semantic Analysis (LSA) and present data and noise reduction techniques as well as an optimal combination of normalizing transformations to categorize signature curves. We will then introduce a system for determining the correct category for a new object from a pre-existing database of information on objects and give an example for sorting out leaves of two types of trees regardless of their orientation using their signature curves.