Shape preserving representations
Mathematical methods in computer aided geometric design
Inflections on curves in two and three dimensions
Computer Aided Geometric Design
Derivatives of rational Be´zier curves
Computer Aided Geometric Design
Shape preserving interpolation by space curves
Computer Aided Geometric Design
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Curves and Surfaces for Computer-Aided Geometric Design: A Practical Code
Journal of Computational and Applied Mathematics
Computer Aided Geometric Design
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
On interpolation by spline curves with shape parameters
GMP'08 Proceedings of the 5th international conference on Advances in geometric modeling and processing
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A local shape preserving curve interpolation scheme in R3 which allows local modification of the curve is derived. A piecewise rational quartic Bézier curve which is F3 continuous is used to pass through the given sequence of data points. A formula for the approximation of torsion based on the given data points is also presented.