Topological Neighborhoods for Spline Curves: Practice & Theory

Authors:
Lance Edward Miller;Edward L. Moore;Thomas J. Peters;Alexander Russell
Affiliations:
Department of Computer Science & Engineering, University of Connecticut, Storrs, CT 06269-2155;Department of Computer Science & Engineering, University of Connecticut, Storrs, CT 06269-2155;Department of Computer Science & Engineering, University of Connecticut, Storrs, CT 06269-2155;Department of Computer Science & Engineering, University of Connecticut, Storrs, CT 06269-2155
Venue:
Reliable Implementation of Real Number Algorithms: Theory and Practice
Year:
2008

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Abstract

The unresolved subtleties of floating point computations in geometric modeling become considerably more difficult in animations and scientific visualizations. Some emerging solutions based upon topological considerations for curves will be presented. A novel geometric seeding algorithm for Newton's method was used in experiments to determine feasible support for these visualization applications.