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About: Multiresolution Properties of Splines

Module by: Sujesh Sreedharan. E-mail the author

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Name: Multiresolution Properties of Splines
ID: m11128
Language: English (en)
Summary: B-splines form a simple set of scaling functions satisfying the dilation equation with binomial filter coefficients. However B-Splines other than the zeroth order B-spline (the Haar function) are not orthogonal to its own shifts. Hence to form a perfect reconstruction(PR) filter bank system, biorthogonal scaling functions are used. Also semiorthogonal filter banks can be used to form a PR filter bank system.
Subject: Science and Technology
Keywords: basis, biorthogonal filters, B-Splines, dilation, multiresolution, Splines
Document Type: -//CNX//DTD CNXML 0.5 plus MathML//EN
License: Creative Commons Attribution License CC-BY 1.0
Authors: Sujesh Sreedharan (sujesh@rice.edu)
Copyright Holders: Sujesh Sreedharan (sujesh@rice.edu)
Maintainers: Alena Scott (oetting@stat.rice.edu), Sujesh Sreedharan (sujesh@rice.edu), Rebecca Willett (rebecca.willett@ieee.org), Adan Galvan (agalvan@gmail.com), Charlet Reedstrom (charlet@rice.edu)
Latest version: 2.2 (history)
First publication date: Apr 23, 2003 12:00 am GMT-5
Last revision to module: Jun 9, 2005 10:03 am GMT-5
Module XML: m11128_2.2.cnxml

Version History

Version: 2.2 Jun 9, 2005 10:03 am GMT-5 by Elizabeth Gregory
Changes: 
Updated from CNXML 0.4 to CNXML 0.5
Version: 2.1 May 7, 2003 12:00 am GMT-5 by Charlet Reedstrom
Changes: 
marked up module contents - cnxns still need work
Version: 2.0 Apr 23, 2003 12:00 am GMT-5 by Rebecca Willett
Changes: 
Initial module submission.

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American Chemical Society (ACS) Style Guide:

Sreedharan, S. Multiresolution Properties of Splines, Connexions Web site. http://cnx.org/content/m11128/2.2/, Jun 9, 2005.

American Medical Assocation (AMA) Manual of Style:

Sreedharan S. Multiresolution Properties of Splines [Connexions Web site]. June 9, 2005. Available at: http://cnx.org/content/m11128/2.2/.

American Psychological Assocation (APA) Publication Manual:

Sreedharan, S. (2005, June 9). Multiresolution Properties of Splines. Retrieved from the Connexions Web site: http://cnx.org/content/m11128/2.2/

Chicago Manual of Style (Bibliography):

Sreedharan, Sujesh. "Multiresolution Properties of Splines." Connexions. June 9, 2005. http://cnx.org/content/m11128/2.2/.

Chicago Manual of Style (Note):

Sujesh Sreedharan, "Multiresolution Properties of Splines," Connexions, June 9, 2005, http://cnx.org/content/m11128/2.2/.

Chicago Manual of Style (Reference, in Author-Date style):

Sreedharan, S. 2005. Multiresolution Properties of Splines. Connexions, June 9, 2005. http://cnx.org/content/m11128/2.2/.

Modern Languages Association (MLA) Style Manual:

Sreedharan, Sujesh. Multiresolution Properties of Splines. Connexions. 9 June 2005 <http://cnx.org/content/m11128/2.2/>.