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- Publisher Website: 10.1016/j.cagd.2019.04.007
- Scopus: eid_2-s2.0-85063994735
- WOS: WOS:000471088500002
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Article: Q-MAT+: An error-controllable and feature-sensitive simplification algorithm for medial axis transform
Title | Q-MAT+: An error-controllable and feature-sensitive simplification algorithm for medial axis transform |
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Authors | |
Keywords | Medial axis Simplification Error-controllable |
Issue Date | 2019 |
Publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cagd |
Citation | Computer Aided Geometric Design, 2019, v. 71, p. 16-29 How to Cite? |
Abstract | The medial axis transform (MAT), as an intrinsic shape representation, plays an important role in shape approximation, recognition and retrieval. Q-MAT is a state-of-the-art algorithm driven by quadratic error minimization to compute a geometrically precise, structurally concise, and compact representation of the MAT for 3D shapes. In this work we extend the technique to make it more robust, controllable, and name it Q-MAT+. Combining shape diameter function (SDF) and other mesh information, Q-MAT+ gets a more complete and accurate initial MAT than Q-MAT, even for extreme thin features, such as wires and sheets. Q-MAT+ could quickly remove insignificant branches while preserving significant ones to get a simple and faithful piecewise linear approximation of the MAT. Moreover, it performs the medial axis simplification with explicit maintenance and the control of Hausdorff error, which is not originally supported in Q-MAT. We further demonstrate the outstanding efficiency and accuracy of our method compared with other existing approaches for MAT generation and simplification. |
Persistent Identifier | http://hdl.handle.net/10722/294275 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 0.602 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Pan, Y | - |
dc.contributor.author | Wang, B | - |
dc.contributor.author | Guo, X | - |
dc.contributor.author | Zeng, H | - |
dc.contributor.author | MA, Y | - |
dc.contributor.author | Wang, W | - |
dc.date.accessioned | 2020-11-23T08:29:01Z | - |
dc.date.available | 2020-11-23T08:29:01Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Computer Aided Geometric Design, 2019, v. 71, p. 16-29 | - |
dc.identifier.issn | 0167-8396 | - |
dc.identifier.uri | http://hdl.handle.net/10722/294275 | - |
dc.description.abstract | The medial axis transform (MAT), as an intrinsic shape representation, plays an important role in shape approximation, recognition and retrieval. Q-MAT is a state-of-the-art algorithm driven by quadratic error minimization to compute a geometrically precise, structurally concise, and compact representation of the MAT for 3D shapes. In this work we extend the technique to make it more robust, controllable, and name it Q-MAT+. Combining shape diameter function (SDF) and other mesh information, Q-MAT+ gets a more complete and accurate initial MAT than Q-MAT, even for extreme thin features, such as wires and sheets. Q-MAT+ could quickly remove insignificant branches while preserving significant ones to get a simple and faithful piecewise linear approximation of the MAT. Moreover, it performs the medial axis simplification with explicit maintenance and the control of Hausdorff error, which is not originally supported in Q-MAT. We further demonstrate the outstanding efficiency and accuracy of our method compared with other existing approaches for MAT generation and simplification. | - |
dc.language | eng | - |
dc.publisher | Elsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cagd | - |
dc.relation.ispartof | Computer Aided Geometric Design | - |
dc.subject | Medial axis | - |
dc.subject | Simplification | - |
dc.subject | Error-controllable | - |
dc.title | Q-MAT+: An error-controllable and feature-sensitive simplification algorithm for medial axis transform | - |
dc.type | Article | - |
dc.identifier.email | Wang, W: wenping@cs.hku.hk | - |
dc.identifier.authority | Wang, W=rp00186 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1016/j.cagd.2019.04.007 | - |
dc.identifier.scopus | eid_2-s2.0-85063994735 | - |
dc.identifier.hkuros | 319303 | - |
dc.identifier.volume | 71 | - |
dc.identifier.spage | 16 | - |
dc.identifier.epage | 29 | - |
dc.identifier.isi | WOS:000471088500002 | - |
dc.publisher.place | Netherlands | - |
dc.identifier.issnl | 0167-8396 | - |