Spherical Wavelet ITK Filter
Please use this identifier to cite or link to this publication: http://hdl.handle.net/1926/544 
Published in The Insight Journal  2007 MICCAI Open Science Workshop.
Submitted by Yi Gao on 08222007.
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 pseudocode 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 viceversa (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.
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 pseudocode 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 viceversa (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.
Data
code.zip (22Kb)
data.zip (32Kb)
itkSWaveletTest.tar.gz (11Mb)
ITKSphericalWavelet_v1.pdf (978Kb) [view paper]
itkSWaveletTest.zip (11Mb)
data.zip (32Kb)
itkSWaveletTest.tar.gz (11Mb)
ITKSphericalWavelet_v1.pdf (978Kb) [view paper]
itkSWaveletTest.zip (11Mb)
Code
Automatic Testing Results
by InsightJournal Dashboard
on Wed Aug 22 21:33:25 2007 for revision #1
expertise: 5 sensitivity: 5
Reviews
Practical Contribution
by Luis Ibanez on 09112007 for revision #1
expertise: 3 sensitivity: 5
Definitly a must have feature
by Alexandre Gouaillard on 07262007 for revision #1
expertise: 4 sensitivity: 5
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Keywords:  ITK, Spherical Wavelet, Shape analysis 
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