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Article: Feature Enhancement by Vertex Flow for 3D Shapes

TitleFeature Enhancement by Vertex Flow for 3D Shapes
Authors
Keywords3-d shape
Approximation errors
Edge-based
Feature enhancement
Geometry processing
Issue Date2011
PublisherCAD Solutions. The Journal's web site is located at http://www.cadanda.com
Citation
Computer-Aided Design and Applications, 2011, v. 8 n. 5, p. 649-664 How to Cite?
AbstractWe present a new method for enhancing shape features of a mesh surface by moving mesh vertices from low-curvature regions to high-curvature regions or feature regions. The movement of the vertices, also called vertex flow, is driven by minimizing an objective function defined to take into account several important considerations in mesh improvement. First, a new edge-based energy term is used to measure the uniformity of the approximation error of a target shape by a mesh surface. Clearly, given a fixed number of triangle faces of a mesh surface approximating an underlying target surfaces, the approximation is made more uniform by placing more faces are used in higher-curvature regions and fewer faces in lower-curvature regions. Therefore, the minimization of this edge-based energy term provides a strong force to move mesh vertices towards high-curvature regions. Second, to maintain faithful shape approximation during vertex flow, a distance-error term is included to penalize the displacement of mesh vertices along normal directions of the underlying surface, and a novel local quadratic model is employed to efficiently minimize this term. Third, a fairing term is used to ensure the smoothness of the resulting mesh surface. Our method enhances significantly shape features even at a low sampling rate and is useful to several feature-aware geometry processing operations, such as simplification and perceptual line drawing. © 2011 CAD Solutions, LLC.
Persistent Identifierhttp://hdl.handle.net/10722/140813
ISSN
2023 SCImago Journal Rankings: 0.245
References

 

DC FieldValueLanguage
dc.contributor.authorJi, Zen_HK
dc.contributor.authorLiu, Len_HK
dc.contributor.authorWang, Ben_HK
dc.contributor.authorWang, Wen_HK
dc.date.accessioned2011-09-23T06:19:36Z-
dc.date.available2011-09-23T06:19:36Z-
dc.date.issued2011en_HK
dc.identifier.citationComputer-Aided Design and Applications, 2011, v. 8 n. 5, p. 649-664en_HK
dc.identifier.issn1686-4360en_HK
dc.identifier.urihttp://hdl.handle.net/10722/140813-
dc.description.abstractWe present a new method for enhancing shape features of a mesh surface by moving mesh vertices from low-curvature regions to high-curvature regions or feature regions. The movement of the vertices, also called vertex flow, is driven by minimizing an objective function defined to take into account several important considerations in mesh improvement. First, a new edge-based energy term is used to measure the uniformity of the approximation error of a target shape by a mesh surface. Clearly, given a fixed number of triangle faces of a mesh surface approximating an underlying target surfaces, the approximation is made more uniform by placing more faces are used in higher-curvature regions and fewer faces in lower-curvature regions. Therefore, the minimization of this edge-based energy term provides a strong force to move mesh vertices towards high-curvature regions. Second, to maintain faithful shape approximation during vertex flow, a distance-error term is included to penalize the displacement of mesh vertices along normal directions of the underlying surface, and a novel local quadratic model is employed to efficiently minimize this term. Third, a fairing term is used to ensure the smoothness of the resulting mesh surface. Our method enhances significantly shape features even at a low sampling rate and is useful to several feature-aware geometry processing operations, such as simplification and perceptual line drawing. © 2011 CAD Solutions, LLC.en_HK
dc.languageengen_US
dc.publisherCAD Solutions. The Journal's web site is located at http://www.cadanda.comen_HK
dc.relation.ispartofComputer-Aided Design and Applicationsen_HK
dc.subject3-d shapeen_HK
dc.subjectApproximation errorsen_HK
dc.subjectEdge-baseden_HK
dc.subjectFeature enhancementen_HK
dc.subjectGeometry processing-
dc.titleFeature Enhancement by Vertex Flow for 3D Shapesen_HK
dc.typeArticleen_HK
dc.identifier.emailJi, Z: jzp@hdu.edu.cnen_HK
dc.identifier.emailLiu, L: ligangliu@zju.edu.cn-
dc.identifier.emailWang, B: wangbins@tsinghua.edu.cn-
dc.identifier.emailWang, W: wenping@cs.hku.hk-
dc.identifier.authorityWang, W=rp00186en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.3722/cadaps.2011.649-664en_HK
dc.identifier.scopuseid_2-s2.0-79961014205en_HK
dc.identifier.hkuros194925en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79961014205&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume8en_HK
dc.identifier.issue5en_HK
dc.identifier.spage649en_HK
dc.identifier.epage664en_HK
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWang, W=35147101600en_HK
dc.identifier.scopusauthoridWang, B=36013550200en_HK
dc.identifier.scopusauthoridLiu, L=35337376100en_HK
dc.identifier.scopusauthoridJi, Z=14041617200en_HK
dc.identifier.issnl1686-4360-

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