A theory of multiscale, torsion-based shape representation for space curves
Computer Vision and Image Understanding
Shape preserving F3 curve interpolation
Computer Aided Geometric Design
Interactive simulation of one-dimensional flexible parts
Proceedings of the 2006 ACM symposium on Solid and physical modeling
On the singularity of a class of parametric curves
Computer Aided Geometric Design
Computer Aided Geometric Design
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For all curve representations that adopt the control-point paradigm, we present a method for computing the domain, where a user-specified control point is free to move so that the corresponding spatial curve is regular and of constant sign of torsion along a subinterval of its parametric domain of definition. The method is illustrated for a Bezier and a B-spline curve. Furthermore, its utility for fairing curves under torsion-sign constraints in quadratic-programming context, is illustrated for a pair of Bezier curves. Finally, it is shown that the obtained results remain useful if, besides the user-selected free control point, neighboring ones are permitted to vary within convex polyhedra.