3D surface filtering using spherical harmonics

This paper presents a novel approach for 3D surface filtering over two-manifold meshes. A robust spherical parameterization algorithm is proposed to transform the input surface into a spherical vector function/signal. This signal is then decomposed into frequency domain using spherical harmonic tran...

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Published in:Computer aided design 2004-02, Vol.36 (4), p.363-375
Main Authors: Zhou, Kun, Bao, Hujun, Shi, Jiaoying
Format: Article
Language:English
Subjects:
Mesh
Signal processing
Spherical harmonic transform
Spherical parameterization
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cited_by cdi_FETCH-LOGICAL-c466t-5e051a23784144000e65d73c450f1bcddc6705910a2c3409d8a1e150f04e49e63
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container_title Computer aided design
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creator Zhou, Kun
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Shi, Jiaoying
description This paper presents a novel approach for 3D surface filtering over two-manifold meshes. A robust spherical parameterization algorithm is proposed to transform the input surface into a spherical vector function/signal. This signal is then decomposed into frequency domain using spherical harmonic transforms. Finally, traditional filtering techniques are generalized to process such spherical signals in either the frequency or spatial domain. Our major contribution is the two-phase spherical parameterization algorithm, which can handle meshes with complex shapes by incorporating local parameterization into the progressive mesh. A number of experimental examples demonstrate the potential of our algorithm.
doi_str_mv 10.1016/S0010-4485(03)00098-8
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subjects Mesh
Signal processing
Spherical harmonic transform
Spherical parameterization
title 3D surface filtering using spherical harmonics
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