Positional, Metric, and Curvature Control for Constraint-Based Surface Deformation.

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Title: Positional, Metric, and Curvature Control for Constraint-Based Surface Deformation.
Authors: Eigensatz, Michael1, Pauly, Mark1
Source: Computer Graphics Forum. Apr2009, Vol. 28 Issue 2, p551-558. 8p. 2 Illustrations, 10 Diagrams.
Subjects: Deformation of surfaces, Computers in geometry, Algorithms, Computer graphics software, Curvature, Computer graphics research
Abstract: We present a geometry processing framework that allows direct manipulation or preservation of positional, metric, and curvature constraints anywhere on the surface of a geometric model. Target values for these properties can be specified point-wise or as integrated quantities over curves and surface patches embedded in the shape. For example, the user can draw several curves on the surface and specify desired target lengths, manipulate the normal curvature along these curves, or modify the area or principal curvature distribution of arbitrary surface patches. This user input is converted into a set of non-linear constraints. A global optimization finds the new deformed surface that best satisfies the constraints, while minimizing adaptable measures for metric and curvature distortion that provide explicit control of the deformation semantics. We illustrate how this approach enables flexible surface processing and shape editing operations not available in current systems. [ABSTRACT FROM AUTHOR]
Copyright of Computer Graphics Forum is the property of Wiley-Blackwell 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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PubType: Academic Journal
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  Data: Positional, Metric, and Curvature Control for Constraint-Based Surface Deformation.
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  Data: <searchLink fieldCode="DE" term="%22Deformation+of+surfaces%22">Deformation of surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Computers+in+geometry%22">Computers in geometry</searchLink><br /><searchLink fieldCode="DE" term="%22Algorithms%22">Algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+graphics+software%22">Computer graphics software</searchLink><br /><searchLink fieldCode="DE" term="%22Curvature%22">Curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+graphics+research%22">Computer graphics research</searchLink>
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  Data: We present a geometry processing framework that allows direct manipulation or preservation of positional, metric, and curvature constraints anywhere on the surface of a geometric model. Target values for these properties can be specified point-wise or as integrated quantities over curves and surface patches embedded in the shape. For example, the user can draw several curves on the surface and specify desired target lengths, manipulate the normal curvature along these curves, or modify the area or principal curvature distribution of arbitrary surface patches. This user input is converted into a set of non-linear constraints. A global optimization finds the new deformed surface that best satisfies the constraints, while minimizing adaptable measures for metric and curvature distortion that provide explicit control of the deformation semantics. We illustrate how this approach enables flexible surface processing and shape editing operations not available in current systems. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Computer Graphics Forum is the property of Wiley-Blackwell 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:
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      – Type: doi
        Value: 10.1111/j.1467-8659.2009.01395.x
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 8
        StartPage: 551
    Subjects:
      – SubjectFull: Deformation of surfaces
        Type: general
      – SubjectFull: Computers in geometry
        Type: general
      – SubjectFull: Algorithms
        Type: general
      – SubjectFull: Computer graphics software
        Type: general
      – SubjectFull: Curvature
        Type: general
      – SubjectFull: Computer graphics research
        Type: general
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      – TitleFull: Positional, Metric, and Curvature Control for Constraint-Based Surface Deformation.
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              Text: Apr2009
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              Y: 2009
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