NDLI: Spherical-Homoscedastic Shapes

Content Provider	IEEE Xplore Digital Library
Author	Hamsici, O.C. Martinez, A.M.
Copyright Year	2007
Description	Author affiliation: Ohio State Univ., Columbus (Hamsici, O.C.; Martinez, A.M.)
Abstract	Shape analysis requires invariance under translation, scale and rotation. Translation and scale invariance can be realized by normalizing shape vectors with respect to their mean and norm. This maps the shape feature vectors onto the surface of a hypersphere. After normalization, the shape vectors can be made rotational invariant by modelling the resulting data using complex scalar rotation invariant distributions defined on the complex hypersphere, e.g., using the complex Bingham distribution. However, the use of these distributions is hampered by the difficulty in estimating their parameters, which is shown to be very costly or impossible in most cases. The purpose of this paper is twofold. First, we show under which conditions the classification results obtained with complex Binghams are identical to those obtained with the easy-to-estimate complex Normal distribution. Second, we derive a kernel function which (intrinsically) maps the data into a space where the above conditions are satisfied and, hence, where the normal model can be successfully used. This results in a simple, low-cost algorithm for representing and classifying shapes. We demonstrate the use of this technique in several experimental results for object and face recognition. Comparisons to other statistical shape representation/classification approaches demonstrate the superiority of the proposed algorithms in classification accuracy and computational time.
Starting Page	1
Ending Page	7
File Size	326629
Page Count	7
File Format	PDF
ISBN	9781424416301
ISSN	15505499
DOI	10.1109/ICCV.2007.4409023
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-10-14
Publisher Place	Brazil
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Shape Parameter estimation Kernel Gaussian distribution Algorithm design and analysis Face recognition Classification algorithms Distributed computing Probability distribution Symmetric matrices
Content Type	Text
Resource Type	Article
Subject	Computer Vision and Pattern Recognition Software

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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