NDLI: Two-sided prediction, orthogonalization, and random fields in images

Content Provider	IEEE Xplore Digital Library
Author	Scheffe, M.M.
Copyright Year	1996
Description	Author affiliation: Div. of Eng., Brown Univ., Providence, RI, USA (Scheffe, M.M.)
Abstract	A useful way of finding new signal-processing algorithms is to think of problems like linear prediction in a geometric way-finding prediction coefficients is the same as orthogonalizing the basis of powers of z on the unit circle. This means that powerful concepts from the theory of approximation and orthogonal polynomials, such as three-term recurrences, can be used to find highly efficient algorithms to solve least squares problems. We show how to apply these concepts to different problems than just prediction. In particular, we find optimal linear interpolation coefficients by orthogonalizing a new, different basis of Chebyshev-type functions in order 8 n-squared steps. Interpolation is also known as the non-causal or two-sided prediction problem. It is important not just for linear phase applications, but also in image processing, where the optimum linear interpolator describes a Gauss-Markov random field, as used in image restoration, texture analysis, segmentation and spatial clutter reduction.
Starting Page	2983
Ending Page	2986
File Size	415994
Page Count	4
File Format	PDF
ISBN	0780331923
ISSN	15206149
DOI	10.1109/ICASSP.1996.550181
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1996-05-09
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Least squares approximation Interpolation Polynomials Approximation algorithms Chebyshev approximation Image processing Gaussian processes Image restoration Image analysis Image texture analysis
Content Type	Text
Resource Type	Article

Sl.	Authority	Responsibilities	Communication Details
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
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

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