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Multiresolution Properties of Splines

No Strings Attached
Author:
Subject:
Science and Technology
Institution Name:
Connexions
Collection:
Connexions
Grade Level:
Post-secondary
Abstract:

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.

Course Type:
Learning Module
Languages:
English
Material Type:
Readings, Syllabi
Media Format:
Text/HTML
Conditions of Use:
Creative Commons Attribution 1.0
Creative Commons Attribution 1.0

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