An algorithm for constructing convexity and monotonicity-preserving splines in tension
Computer Aided Geometric Design
Shape preserving interpolation by curvature continuous parametric curves
Computer Aided Geometric Design
Numerical methods and software
Numerical methods and software
Curves and surfaces for computer aided geometric design
Curves and surfaces for computer aided geometric design
A rational cubic spline with tension
Computer Aided Geometric Design
Inflections on curves in two and three dimensions
Computer Aided Geometric Design
Convexity-preserving interpolatory parametric splines of non-uniform polynomial degree
Computer Aided Geometric Design
Sectional-curvature preserving skinning surfaces
Computer Aided Geometric Design
A Hybrid Method for Shape-Preserving Interpolation with Curvature-Continuous Quintic Splines
Geometric Modelling, Dagstuhl, Germany, 1993
C4 Interpolatory Shape-Preserving Polynomial Splines of Variable Degree
Geometric Modelling
Geometric construction of spline curves with tension properties
Computer Aided Geometric Design
Constructing smooth branching surfaces from cross sections
Proceedings of the 2006 ACM symposium on Solid and physical modeling
Shape-preserving interpolation by fair discrete G 3 space curves
Computer Aided Geometric Design
Polynomial cubic splines with tension properties
Computer Aided Geometric Design
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The C 2 variable degree splines1---3 have been proven to be an efficient tool for solving the curve shape-preserving interpolation problem in two and three dimensions. Based on this representation, the current paper proposes a Hermite interpolation scheme, to construct C 1 shape-preserving splines of variable degree. After this, a slight modification of the method leads to a C 1 shape-preserving Hermite cubic spline. Both methods can easily be developed within a CAD system, since they compute directly (without iterations) the B-spline control polygon. They have been implemented and tested within the DNV Software CAD/CAE system GeniE.