A Heuristic Offsetting Scheme for Catmull-Clark Subdivision Surfaces.
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| Title: | A Heuristic Offsetting Scheme for Catmull-Clark Subdivision Surfaces. |
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| Authors: | Wang, Jianzhong1, Cheng, Fuhua1,2 cheng@cs.uky.edu |
| Source: | Computer-Aided Design & Applications. Dec2015, Vol. 12 Issue 6, p765-771. 7p. |
| Subjects: | Heuristic algorithms, Scheme programming language, Subdivision surfaces (Geometry), Rapid prototyping, Geometric surfaces |
| Abstract: | In rapid prototyping, a hollowed prototype is preferred and significantly reduces the building time and material consumption in contrast to a solid model. Most rapid prototyping obtains solid thin shell by gradually adding or solidifying materials layer by layer. This is a non-trivial problem to offset a solid which involves finding all self-intersections and filling gaps after raw offsetting. While Catmull-Clark subdivision (CCS) surfaces are widely used in solid modeling, the hollow solid/thin shell problems are not well addressed yet. In this paper, we explore earlier methods of obtaining thin shell CCS solid and present a new thin solid approach. With this new scheme, one can efficiently avoid creases and handle gaps. The new scheme is heuristic, but inner surface is parametric, so computation of the inner surface is simplified. And with offsetting Bezier crust applied, the inner surface maintains the mesh structure and continuity of the outer surface. The obtained thin shell solid iscontinuous everywhere, except at extraordinary points, where it iscontinuous. [ABSTRACT FROM AUTHOR] |
| Copyright of Computer-Aided Design & Applications is the property of Computer-Aided Design & Applications and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
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| Header | DbId: egs DbLabel: Engineering Source An: 103642760 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: A Heuristic Offsetting Scheme for Catmull-Clark Subdivision Surfaces. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Wang%2C+Jianzhong%22">Wang, Jianzhong</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Cheng%2C+Fuhua%22">Cheng, Fuhua</searchLink><relatesTo>1,2</relatesTo><i> cheng@cs.uky.edu</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Computer-Aided+Design+%26+Applications%22">Computer-Aided Design & Applications</searchLink>. Dec2015, Vol. 12 Issue 6, p765-771. 7p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Heuristic+algorithms%22">Heuristic algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Scheme+programming+language%22">Scheme programming language</searchLink><br /><searchLink fieldCode="DE" term="%22Subdivision+surfaces+%28Geometry%29%22">Subdivision surfaces (Geometry)</searchLink><br /><searchLink fieldCode="DE" term="%22Rapid+prototyping%22">Rapid prototyping</searchLink><br /><searchLink fieldCode="DE" term="%22Geometric+surfaces%22">Geometric surfaces</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: In rapid prototyping, a hollowed prototype is preferred and significantly reduces the building time and material consumption in contrast to a solid model. Most rapid prototyping obtains solid thin shell by gradually adding or solidifying materials layer by layer. This is a non-trivial problem to offset a solid which involves finding all self-intersections and filling gaps after raw offsetting. While Catmull-Clark subdivision (CCS) surfaces are widely used in solid modeling, the hollow solid/thin shell problems are not well addressed yet. In this paper, we explore earlier methods of obtaining thin shell CCS solid and present a new thin solid approach. With this new scheme, one can efficiently avoid creases and handle gaps. The new scheme is heuristic, but inner surface is parametric, so computation of the inner surface is simplified. And with offsetting Bezier crust applied, the inner surface maintains the mesh structure and continuity of the outer surface. The obtained thin shell solid iscontinuous everywhere, except at extraordinary points, where it iscontinuous. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Computer-Aided Design & Applications is the property of Computer-Aided Design & Applications and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1080/16864360.2015.1033342 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 7 StartPage: 765 Subjects: – SubjectFull: Heuristic algorithms Type: general – SubjectFull: Scheme programming language Type: general – SubjectFull: Subdivision surfaces (Geometry) Type: general – SubjectFull: Rapid prototyping Type: general – SubjectFull: Geometric surfaces Type: general Titles: – TitleFull: A Heuristic Offsetting Scheme for Catmull-Clark Subdivision Surfaces. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Wang, Jianzhong – PersonEntity: Name: NameFull: Cheng, Fuhua IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 12 Text: Dec2015 Type: published Y: 2015 Identifiers: – Type: issn-print Value: 16864360 Numbering: – Type: volume Value: 12 – Type: issue Value: 6 Titles: – TitleFull: Computer-Aided Design & Applications Type: main |
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