Results 171 to 180 of about 3,176 (221)

Modeling with rational biquadratic splines

Computer-Aided Design, 2011
We develop a rational biquadratic G 1 analogue of the non-uniform C 1 B-spline paradigm. These G 1 splines can exactly reproduce parts of multiple basic shapes, such as cyclides and quadrics, and combine them into one smoothly-connected structure. This enables a design process that starts with basic shapes, re-represents them in spline form and uses ...
Kestutis Karciauskas, Jörg Peters 0001
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Bivariate interpolatory rational splines

Numerical Algorithms, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Charles K. Chui, T. X. He
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A rational spline for visualizing positive data

2000 IEEE Conference on Information Visualization. An International Conference on Computer Visualization and Graphics, 2002
A piecewise rational cubic spline has been introduced to visualize the positive data in its natural form. The article explains how it is attempted that the spline method preserves the shape of the data when it is positive. The spline representation is interpolatory and applicable to the scalar valued data. The shape parameters in the description of the
Sarfraz, M., Hussain, M.Z., Butt, S.
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Approximate conversion of rational splines

Computer Aided Geometric Design, 1989
During exchange of data between different geometric modeling systems, approximate conversions of rational Bézier and B-spline curves and surfaces to lower degree integral B-spline representations are required. Accurate such conversions are required in many modeling environments.
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An automatic adjustment procedure for rational splines

Computers & Graphics, 1982
Abstract This paper presents the development of an adjustment method for the rational spline. The adjustment of the spline is completed by tensioning each internal section until the spline conforms to user defined data in a way which is both accurate and esthetically pleasing.
Charles E. Frost, Gary L. Kinzel
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Möbius reparametrizations of rational B-splines

Computer Aided Geometric Design, 1991
The authors prove that the reparametrization of a rational \(B\)-spline curve by means of a Möbius transformation again yields a rational \(B\)- spline curve. This shows that a contrary claim due to Farin [\textit{G. Farin}, Mathematical methods in computer aided geometric design, Pap. Int. conf., Oslo/Norw. 1988, 215-238 (1989; Zbl 0677.41012)] cannot
E. T. Y. Lee, Miriam L. Lucian
exaly   +4 more sources

Non-negative rational spline interpolation

Proceedings. 1997 IEEE Conference on Information Visualization (Cat. No.97TB100165), 2002
Scientific 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.
Malik Zawwar Hussain, Muhammad Sarfraz 0001, Sohail Butt   +2 more
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Planar rational B-spline motions

Computer-Aided Design, 1995
Using 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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Conic representation of a rational cubic spline

1999 IEEE International Conference on Information Visualization (Cat. No. PR00210), 2003
A rational cubic spline with a family of shape parameters is discussed from the viewpoint of its application in computer graphics. It incorporates both conic sections and parametric cubic curves as special cases. The parameters (weights), in the description of the spline curve can be used to modify the shape of the curve, locally and globally, at the ...
Sarfraz, M., Habib, Z.
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A menagerie of rational B-spline circles

IEEE Computer Graphics and Applications, 1989
The article was motivated by J. Blinn's column on the many ways to draw a circle (see ibid., vol.7, no.8, p.39-44, 1987). The authors have found several other ways to represent the circle as a nonuniform rational B-spline curve, which they present. Square-based methods, infinite control points, triangle-based methods, general circular arcs and rational
Les A. Piegl, Wayne Tiller
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