Spherical Wavelet ITK Filter

Please use this identifier to cite or link to this publication: http://hdl.handle.net/1926/544
This paper describes the Insight Toolkit (ITK) Spherical Wavelet object: itkSWaveletSource. This
ITK object is an implementation of a paper by Schr¨oder and W. Sweldens, “Spherical Wavelets: Effi-
ciently Representing Functions on the Sphere” [8], with pseudo-code given in their paper entitled “Spherical
wavelets: Texture processing” [7]. In these papers, Swelden et. al. show how to do decompose a
scalar signal defined on a spherical mesh into spherical wavelet coefficients (analysis step, also called
forward transform), and vice-versa (synthesis step, also called inverse transform). We have implemented
the spherical wavelet transform in ITK entitled itkSWaveletSource object, which will take the scalar
function defined on a spherical mesh as input and apply spherical wavelet analysis and synthesis on it.
In this paper, we describe our code and provide the user with enough details to reproduce the results
which we present in this paper. This filter has a variety of applications including shape representation
and shape analysis of brain surfaces, which was the initial motivation for this work.
This paper is accompanied with the source code, input data, parameters and output data that the
authors used for validating the spherical wavelet transform described in this paper.
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plus Automatic Testing Results by Insight-Journal Dashboard on Wed Aug 22 21:33:25 2007 for revision #1
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plus Practical Contribution by Luis Ibanez on 09-11-2007 for revision #1
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plus Definitly a must have feature by Alexandre Gouaillard on 07-26-2007 for revision #1
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Keywords: ITK, Spherical Wavelet, Shape analysis
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