A Heuristic Offsetting Scheme for Catmull-Clark Subdivision Surfaces.

Saved in:
Bibliographic Details
Title: A Heuristic Offsetting Scheme for Catmull-Clark Subdivision Surfaces.
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
FullText Links:
  – Type: pdflink
Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 103642760
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
IllustrationInfo
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.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=103642760
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
ResultId 1