Markov chains and computer aided geometric design: Part II—examples and subdivision matrices
ACM Transactions on Graphics (TOG)
Markov chains and computer-aided geometric design: part I - problems and constraints
ACM Transactions on Graphics (TOG)
Geometric modeling
Projective geometry and its applications to computer graphics
Projective geometry and its applications to computer graphics
Mathematical elements for computer graphics
Mathematical elements for computer graphics
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Curvature continuity and offsets for piecewise conics
ACM Transactions on Graphics (TOG)
Numerically stable implicitization of cubic curves
ACM Transactions on Graphics (TOG)
Projectively invariant intersection detections for solid modeling
ACM Transactions on Graphics (TOG)
A simple method for drawing a rational curve as two Bézier segments
ACM Transactions on Graphics (TOG)
A Menagerie of Rational B-Spline Circles
IEEE Computer Graphics and Applications
Data Reduction Using Cubic Rational B-Splines
IEEE Computer Graphics and Applications
From Conics to NURBS: A Tutorial and Survey
IEEE Computer Graphics and Applications
Sampling points on regular parametric curves with control of their distribution
Computer Aided Geometric Design
Composition of parametrizations, using the paired algebras of forms and sites
Computer Aided Geometric Design
Invariant-geometry conditions for the rational bi-quadratic Bézier surfaces
Computer Aided Geometric Design
The Invariant Functions of the Rational Bi-cubic Bézier Surfaces
Proceedings of the 13th IMA International Conference on Mathematics of Surfaces XIII
Composition of parametrizations, using the paired algebras of forms and sites
Computer Aided Geometric Design
C 1 NURBS representations of G 1 composite rational Bézier curves
Computing - Geometric Modelling, Dagstuhl 2008
Letter to the editor: On the conditions for the coincidence of two cubic Bézier curves
Journal of Computational and Applied Mathematics
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The definitions of polynomial and rational Bernstein-Bézier curves are reviewed and extended to include homogeneous parametrizations. Then the effects of a projective transformation of the parameter space are described in terms of a group representation. This representation is used to answer the following questions: (1) If the control points are held fixed, when do two different sets of weights determine the same rational curve? (2) How do we find the control points for a subdivision of the original curve?