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One dimensional non-uniform rational B-splines for animation control
, 2000 A. Mahoui
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Unconditionally Convergent Rational Interpolation Splines
Mathematical Notes, 2018zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramazanov, A.-R. K., Magomedova, V. G.
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Bivariate interpolatory rational splines
Numerical Algorithms, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chui, C. K., He, T. X.
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Computer Aided Geometric Design, 1987
Simple constructions of the Bézier points of a curvature continuous rational cubic spline as well as of a torsion continuous one are given. As a consequence, these two types of splines enter the family of those, which may be constructed by the use of the effective so-called Bernstein- Bézier technique.
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Simple constructions of the Bézier points of a curvature continuous rational cubic spline as well as of a torsion continuous one are given. As a consequence, these two types of splines enter the family of those, which may be constructed by the use of the effective so-called Bernstein- Bézier technique.
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Inversed rational B-spline for interpolation
Computers & Structures, 1992The authors introduce the inversed rational \(B\)-spline interpolating curve. The weighting parameter of the rational \(B\)-spline is used to enhance the controllability for the geometry of the interpolated curve. Some examples are given.
Tan, ST, Lee, CK
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Planar rational B-spline motions
Computer-Aided Design, 1995Using the matrix representation of a rigid body motion, the author presents explicit formulas and rules to compute the control points and weights for piecewise quartic interpolation of plane motions of figures given some positions. One recommended procedure is to control the motion of the center of gravity and the rotations around this center.
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Dynamic rational B-spline surfaces
Computer-Aided Design, 1990Abstract The rationale for the development of a constant performance incremental algorithm for the dynamic real-time modification of B-spline surfaces is presented. Pseudocode for the complete algorithm is presented. Implemented in software, the algorithm is capable of dynamic real-time modification of B-spline surfaces using moderately capable ...
Rogers, David F., Adlum, Linda A.
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2000
A cubic polynomial curve in the xy-plane, (x1 (t), x2(t)), whose cubic term has a coefficient of 0 reduces to a parabola in this special case; but a cubic polynomial cannot represent other conic section curves such as a circular arc, an elliptic arc, or a segment of an hyperbola. It is an interesting fact, however, that an elliptic or hyperbolic arc in
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A cubic polynomial curve in the xy-plane, (x1 (t), x2(t)), whose cubic term has a coefficient of 0 reduces to a parabola in this special case; but a cubic polynomial cannot represent other conic section curves such as a circular arc, an elliptic arc, or a segment of an hyperbola. It is an interesting fact, however, that an elliptic or hyperbolic arc in
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2001
The refinement partition techniques are very effective in finite element methods and computer-aided geometric designs. However, the introduction of refinement partition may cause some inconvenience. We will discuss rational spline functions, especially the theory and methods of locally supported bivariate rational spline functions.
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The refinement partition techniques are very effective in finite element methods and computer-aided geometric designs. However, the introduction of refinement partition may cause some inconvenience. We will discuss rational spline functions, especially the theory and methods of locally supported bivariate rational spline functions.
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Non-negative rational spline interpolation
Proceedings. 1997 IEEE Conference on Information Visualization (Cat. No.97TB100165), 2002Scientific visualization is one of the important areas of computer graphics. This paper is concerned with non-negative C/sup 1/-interpolation of non-negative data for visualization proposes. Using the rational cubic spline function of Sarfraz et al.
M.Z. Hussain, M. Sarfraz, S. Butt
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