File Download
There are no files associated with this item.
Links for fulltext
(May Require Subscription)
- Publisher Website: 10.1111/cgf.13821
- Scopus: eid_2-s2.0-85075056382
- WOS: WOS:000496351100011
- Find via
Supplementary
- Citations:
- Appears in Collections:
Article: Surface Fairing towards Regular Principal Curvature Line Networks
Title | Surface Fairing towards Regular Principal Curvature Line Networks |
---|---|
Authors | |
Keywords | CCS Concepts • Computing methodologies → Mesh geometry models Parametric curve and surface models Shape analysis |
Issue Date | 2019 |
Publisher | Wiley-Blackwell Publishing Ltd. The Journal's web site is located at http://onlinelibrary.wiley.com/journal/10.1111/%28ISSN%291467-8659 |
Citation | Computer Graphics Forum, 2019, v. 38 n. 7, p. 115-125 How to Cite? |
Abstract | Freeform surfaces whose principal curvature line network is regularly distributed, are essential to many real applications like CAD modeling, architecture design, and industrial fabrication. However, most designed surfaces do not hold this nice property because it is hard to enforce such constraints in the design process. In this paper, we present a novel method for surface fairing which takes a regular distribution of the principal curvature line network on a surface as an objective. Our method first removes the high‐frequency signals from the curvature tensor field of an input freeform surface by a novel rolling guidance tensor filter, which results in a more regular and smooth curvature tensor field, then deforms the input surface to match the smoothed field as much as possible. As an application, we solve the problem of approximating freeform surfaces with regular principal curvature line networks, discretized by quadrilateral meshes. By introducing the circular or conical conditions on the quadrilateral mesh to guarantee the existence of discrete principal curvature line networks, and minimizing the approximate error to the original surface and improving the fairness of the quad mesh, we obtain a regular discrete principal curvature line network that approximates the original surface. We evaluate the efficacy of our method on various freeform surfaces and demonstrate the superiority of the rolling guidance tensor filter over other tensor smoothing techniques. We also utilize our method to generate high‐quality circular/conical meshes for architecture design and cyclide spline surfaces for CAD modeling. |
Persistent Identifier | http://hdl.handle.net/10722/294273 |
ISSN | 2023 Impact Factor: 2.7 2023 SCImago Journal Rankings: 1.968 |
ISI Accession Number ID |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chu, L | - |
dc.contributor.author | Bo, P | - |
dc.contributor.author | Liu, Y | - |
dc.contributor.author | Wang, W | - |
dc.date.accessioned | 2020-11-23T08:29:00Z | - |
dc.date.available | 2020-11-23T08:29:00Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Computer Graphics Forum, 2019, v. 38 n. 7, p. 115-125 | - |
dc.identifier.issn | 0167-7055 | - |
dc.identifier.uri | http://hdl.handle.net/10722/294273 | - |
dc.description.abstract | Freeform surfaces whose principal curvature line network is regularly distributed, are essential to many real applications like CAD modeling, architecture design, and industrial fabrication. However, most designed surfaces do not hold this nice property because it is hard to enforce such constraints in the design process. In this paper, we present a novel method for surface fairing which takes a regular distribution of the principal curvature line network on a surface as an objective. Our method first removes the high‐frequency signals from the curvature tensor field of an input freeform surface by a novel rolling guidance tensor filter, which results in a more regular and smooth curvature tensor field, then deforms the input surface to match the smoothed field as much as possible. As an application, we solve the problem of approximating freeform surfaces with regular principal curvature line networks, discretized by quadrilateral meshes. By introducing the circular or conical conditions on the quadrilateral mesh to guarantee the existence of discrete principal curvature line networks, and minimizing the approximate error to the original surface and improving the fairness of the quad mesh, we obtain a regular discrete principal curvature line network that approximates the original surface. We evaluate the efficacy of our method on various freeform surfaces and demonstrate the superiority of the rolling guidance tensor filter over other tensor smoothing techniques. We also utilize our method to generate high‐quality circular/conical meshes for architecture design and cyclide spline surfaces for CAD modeling. | - |
dc.language | eng | - |
dc.publisher | Wiley-Blackwell Publishing Ltd. The Journal's web site is located at http://onlinelibrary.wiley.com/journal/10.1111/%28ISSN%291467-8659 | - |
dc.relation.ispartof | Computer Graphics Forum | - |
dc.rights | Preprint This is the pre-peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. Postprint This is the peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | - |
dc.subject | CCS Concepts | - |
dc.subject | • Computing methodologies → Mesh geometry models | - |
dc.subject | Parametric curve and surface models | - |
dc.subject | Shape analysis | - |
dc.title | Surface Fairing towards Regular Principal Curvature Line Networks | - |
dc.type | Article | - |
dc.identifier.email | Chu, L: lchupt@hku.hk | - |
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 | 10.1111/cgf.13821 | - |
dc.identifier.scopus | eid_2-s2.0-85075056382 | - |
dc.identifier.hkuros | 319253 | - |
dc.identifier.volume | 38 | - |
dc.identifier.issue | 7 | - |
dc.identifier.spage | 115 | - |
dc.identifier.epage | 125 | - |
dc.identifier.isi | WOS:000496351100011 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0167-7055 | - |