IEEE Transactions on Pattern Analysis and Machine Intelligence
Functional composition algorithms via blossoming
ACM Transactions on Graphics (TOG)
Fundamentals of computer aided geometric design
Fundamentals of computer aided geometric design
Spline approximations of real algebraic surfaces
Journal of Symbolic Computation - Special issue: parametric algebraic curves and applications
Generalized Fre´chet distance between curves
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
The normal form of a planar curve and its application to curve design
Proceedings of the international conference on Mathematical methods for curves and surfaces II Lillehammer, 1997
On the curvature of curves and surfaces defined by normalforms
Computer Aided Geometric Design
Mathematical Methods for Curves and Surfaces
Least-Squares Fitting of Algebraic Spline Curves via Normal Vector Estimation
Proceedings of the 9th IMA Conference on the Mathematics of Surfaces
Polyline approach for approximating Hausdorff distance between planar free-form curves
Computer-Aided Design
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This paper is devoted to computational techniques for generating upper bounds on the Hausdorff distance between two planar curves. The results are suitable for pairs of implicitly defined and/or parametric curves. The bounds are computed directly from the control points resp. spline coefficients of the curves. They improve an earlier result of Sederberg. Potential applications include error bounds for the approximate implicitization of spline curves, for the approximate parameterization of (piecewise) algebraic curves, and for algebraic curve fitting.