Mathematical elements for computer graphics (2nd ed.)
Mathematical elements for computer graphics (2nd ed.)
The NURBS book
Interpolation of curve data by blended generalized circles
Computer Aided Geometric Design
Generating curves and swept surfaces by blended circles
Computer Aided Geometric Design
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
Numerical Recipes 3rd Edition: The Art of Scientific Computing
Numerical Recipes 3rd Edition: The Art of Scientific Computing
High accuracy geometric Hermite interpolation
Computer Aided Geometric Design
Polynomial blending in a mesh hole-filling application
Computer-Aided Design
Gn blending multiple surfaces in polar coordinates
Computer-Aided Design
Optimized normal and distance matching for heterogeneous object modeling
Computers and Industrial Engineering
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Segments of two given curves can be blended to produce a segment of a new curve. Blending can provide a smooth transition from one curve to another and can give various degrees of smoothness at the endpoints of the blend, where the smoothness is measured analogously to parametric continuity C^(^n^) and geometric continuity G^(^n^). Blending can provide an approximation to a given curve segment. The accuracy of the approximation to short segments obtained by different blending formulas is compared via asymptotic analysis. Finally, it is shown how to find a blend that is a parametric polynomial whose parameter is approximately an arc length parameter.