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

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Bibliographic Details
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]
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Database:	Engineering Source

Description
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]
ISSN:	01677055
DOI:	10.1111/j.1467-8659.2009.01395.x