Connexions

Sections
You are here: Home » Content » Multiresolution Properties of Splines

About: Multiresolution Properties of Splines

Module by: Sujesh Sreedharan

View content

Metadata

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)
Version: 2.2 (history)
Created: Apr 23, 2003 12:00 am GMT-5
Revised: Jun 9, 2005 10:03 am GMT-5

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.

How to Reuse and Attribute This Content

If you derive a copy of this content using a Connexions account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 1.0), you must include

  • the authors' names: Sujesh Sreedharan
  • the title of the work: Multiresolution Properties of Splines
  • the Connexions URL where the work can be found: http://cnx.org/content/m11128/2.2/

See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 1.0) of this work:

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/>.