A concept for parametric surface fitting which avoids the parametrization problem

Authors:
Helmut Pottmann;Stefan Leopoldseder
Affiliations:
Institute of Geometry, Vienna University of Technology, Wiedner Hauptstr. 8-10, A-1040 Wien, Austria;Institute of Geometry, Vienna University of Technology, Wiedner Hauptstr. 8-10, A-1040 Wien, Austria
Venue:
Computer Aided Geometric Design
Year:
2003

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Abstract

An active contour model to surface approximation is presented. It adapts to the model shape to be approximated with help of local quadratic approximants of the squared distance function. The approach completely avoids the parametrization problem. The concept is open for inclusion of smoothing operators and shape constraints.