Mesh median filter for smoothing 3-D polygonal surfaces

H. Yagou; A. Belyaev; Daming Wei

doi:10.1109/CW.2002.1180917

Mesh median filter for smoothing 3-D polygonal surfaces

H. Yagou, A. Belyaev, Daming Wei

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 Citations (Scopus)

Abstract

In this paper we introduce a new mesh filtering method: a mesh median filter. This is an application of the median filter to smoothen 3-D noisy shapes given by triangle meshes. An algorithm of the mesh median filter is realized by applying the median filter to face normals on triangle meshes and updating mesh vertex positions to make them fit to the filtered normals. As an advanced modification of the mesh median filter we further introduce a weighted mesh median filter. The weighted mesh median filter has a reinforced feature preservation effect. The weighted mesh median filter with positive weighting has the smoothing effect, and the one with negative weighting has the enhancing effect. The two kinds of mesh median filters are compared with two conventional mesh filtering methods: the Laplacian smoothing flow and the mean curvature flow. Experimental results demonstrate that the mesh median filter does not induce oversmoothing.

Original language	English
Title of host publication	1st International Symposium on Cyber Worlds 2002
Editors	Shietung Peng, Shuichi Yukita, Vladimir V. Savchenko
Publisher	IEEE
Pages	488-495
Number of pages	8
ISBN (Electronic)	9780769518626
DOIs	https://doi.org/10.1109/CW.2002.1180917
Publication status	Published - 25 Feb 2003
Event	1st International Symposium on Cyber Worlds 2002 - Tokyo, Japan Duration: 6 Nov 2002 → 8 Nov 2002

Conference

Conference	1st International Symposium on Cyber Worlds 2002
Abbreviated title	CW 2002
Country/Territory	Japan
City	Tokyo
Period	6/11/02 → 8/11/02

Keywords

3-D mesh smoothing
median filter
triangle meshes
triangulated surfaces
weighted median filter

ASJC Scopus subject areas

Computational Theory and Mathematics
Computer Graphics and Computer-Aided Design
Artificial Intelligence

Access to Document

10.1109/CW.2002.1180917

Cite this

@inproceedings{883d599603f24881bbee011ef47819ba,

title = "Mesh median filter for smoothing 3-D polygonal surfaces",

abstract = "In this paper we introduce a new mesh filtering method: a mesh median filter. This is an application of the median filter to smoothen 3-D noisy shapes given by triangle meshes. An algorithm of the mesh median filter is realized by applying the median filter to face normals on triangle meshes and updating mesh vertex positions to make them fit to the filtered normals. As an advanced modification of the mesh median filter we further introduce a weighted mesh median filter. The weighted mesh median filter has a reinforced feature preservation effect. The weighted mesh median filter with positive weighting has the smoothing effect, and the one with negative weighting has the enhancing effect. The two kinds of mesh median filters are compared with two conventional mesh filtering methods: the Laplacian smoothing flow and the mean curvature flow. Experimental results demonstrate that the mesh median filter does not induce oversmoothing.",

keywords = "3-D mesh smoothing, median filter, triangle meshes, triangulated surfaces, weighted median filter",

author = "H. Yagou and A. Belyaev and Daming Wei",

note = "Publisher Copyright: {\textcopyright} 2002 IEEE.; 1st International Symposium on Cyber Worlds 2002, CW 2002 ; Conference date: 06-11-2002 Through 08-11-2002",

year = "2003",

month = feb,

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doi = "10.1109/CW.2002.1180917",

language = "English",

pages = "488--495",

editor = "Shietung Peng and Shuichi Yukita and Savchenko, \{Vladimir V.\}",

booktitle = "1st International Symposium on Cyber Worlds 2002",

publisher = "IEEE",

address = "United States",

}

TY - GEN

T1 - Mesh median filter for smoothing 3-D polygonal surfaces

AU - Yagou, H.

AU - Belyaev, A.

AU - Wei, Daming

PY - 2003/2/25

Y1 - 2003/2/25

N2 - In this paper we introduce a new mesh filtering method: a mesh median filter. This is an application of the median filter to smoothen 3-D noisy shapes given by triangle meshes. An algorithm of the mesh median filter is realized by applying the median filter to face normals on triangle meshes and updating mesh vertex positions to make them fit to the filtered normals. As an advanced modification of the mesh median filter we further introduce a weighted mesh median filter. The weighted mesh median filter has a reinforced feature preservation effect. The weighted mesh median filter with positive weighting has the smoothing effect, and the one with negative weighting has the enhancing effect. The two kinds of mesh median filters are compared with two conventional mesh filtering methods: the Laplacian smoothing flow and the mean curvature flow. Experimental results demonstrate that the mesh median filter does not induce oversmoothing.

AB - In this paper we introduce a new mesh filtering method: a mesh median filter. This is an application of the median filter to smoothen 3-D noisy shapes given by triangle meshes. An algorithm of the mesh median filter is realized by applying the median filter to face normals on triangle meshes and updating mesh vertex positions to make them fit to the filtered normals. As an advanced modification of the mesh median filter we further introduce a weighted mesh median filter. The weighted mesh median filter has a reinforced feature preservation effect. The weighted mesh median filter with positive weighting has the smoothing effect, and the one with negative weighting has the enhancing effect. The two kinds of mesh median filters are compared with two conventional mesh filtering methods: the Laplacian smoothing flow and the mean curvature flow. Experimental results demonstrate that the mesh median filter does not induce oversmoothing.

KW - 3-D mesh smoothing

KW - median filter

KW - triangle meshes

KW - triangulated surfaces

KW - weighted median filter

UR - https://www.scopus.com/pages/publications/84872455012

U2 - 10.1109/CW.2002.1180917

DO - 10.1109/CW.2002.1180917

M3 - Conference contribution

AN - SCOPUS:84872455012

SP - 488

EP - 495

BT - 1st International Symposium on Cyber Worlds 2002

A2 - Peng, Shietung

A2 - Yukita, Shuichi

A2 - Savchenko, Vladimir V.

PB - IEEE

T2 - 1st International Symposium on Cyber Worlds 2002

Y2 - 6 November 2002 through 8 November 2002

ER -

Mesh median filter for smoothing 3-D polygonal surfaces

Abstract

Conference

Keywords

ASJC Scopus subject areas

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