Open AccessBook
Fundamentals of Computer Aided Geometric Design
Josef Hoschek,Dieter Lasser,Larry L. Schumaker +2 more
- 05 Sep 1996
1.3K
TL;DR: A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools.
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Abstract: A classic reference and text, this book introduces the foundations used to create an accurate computer screen image using mathematical tools. This comprehensive guide is a handbook for students and practitioners and includes an extensive bibliography for further study.
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Citations
Jacobi-Bernstein Basis Transformation
TL;DR: In this paper, the matrix of transformation of the Jacobi polynomial basis form into the Bernstein form was derived and applied to the inversion of the Bcurves, where the matrix was shown to combine the superior least-squares performance of the JPNs with the geometrical insight of the Bernstein forms.
38
Rational parameterization of quadrics and their offsets
TL;DR: The offsets of regular quadrics are shown to be rational and the algorithms are given for computing their rational parameterizations.
38
G2 interpolation and blending on surfaces
TL;DR: A method for curvature-continuous (G2) interpolation of an arbitrary sequence of points on a surface (implicit or parametric) with prescribed tangent and geodesic curvature at every point is introduced.
38
A subdivision algorithm for trigonometric spline curves
TL;DR: A subdivision algorithm for the evaluation of the trigonometric spline curves with uniform knots is presented and it is shown that the results obtained in this paper improve on previous work on this topic.
37
Meshfree modeling and analysis of physical fields in heterogeneous media
Igor Tsukanov,Vadim Shapiro +1 more
TL;DR: The meshfree method described in this paper relies on distance fields to boundaries and to material features in order to represent variations of material properties as well as to satisfy prescribed boundary conditions.
37
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