NDLI: Providing sample shape statistics with FCA and ISA approaches

Content Provider	IEEE Xplore Digital Library
Author	Boudaoud, S. Rix, H. Meste, O.
Copyright Year	2002
Description	Author affiliation: Univ. of Nice-Sophia Antipolis (Boudaoud, S.; Rix, H.; Meste, O.)
Abstract	Providing sample shape statistics for time warped signals or more generally for heterogeneous shape signals can be useful in many signal processing applications. In fact, the classical mean and the L distance are inadequate in describing and quantifying the time or shape variability among such signals. Specific methods derived from the curve registration (CR) theory were developed to deal with this warping or shape problem. More recently, two approaches seem similar in many points. Functional convex averaging (FCA) and integral shape averaging (ISA) proposed an alternative to CR methods in averaging and comparing time warped signals. Both methods estimate a sample mean without requiring that observed signals are well structured and consider the warping as a stochastic process. The objective of the study is to compare ISA and FCA methods with respect to shape equality condition. For this purpose, shape equality is defined and the used methods are recalled with an emphasis on the similarities. After, a corrected ISA (CISA) approach providing a mean and a distance is proposed and compared to the FCA approach. This comparison with simulations shows that the CISA approach is more suitable for quantifying shape variability than FCA one since it respects shape equality condition
Starting Page	443
Ending Page	448
File Size	214440
Page Count	6
File Format	PDF
ISBN	0780394038
DOI	10.1109/SSP.2005.1628636
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2005-07-17
Publisher Place	Russia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Shape Statistics Instruction sets Signal processing Chromium Stochastic processes Signal analysis Signal design Costs Dispersion
Content Type	Text
Resource Type	Article

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1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
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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