Curves and surfaces for computer aided geometric design: a practical guide
Curves and surfaces for computer aided geometric design: a practical guide
Generating the Be´zier points of a &bgr;-spline curve
Computer Aided Geometric Design
Guest Editor's Introduction CAGD's Top Ten: What to Watch
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
An approach of designing and controlling free-form surfaces by using NURBS boundary Gregory patches
Computer Aided Geometric Design - Special issue: in memory of John Gregory
The Mathematical Basis of the UNISURF CAD System
The Mathematical Basis of the UNISURF CAD System
IEEE Computer Graphics and Applications
Universal parametrization and interpolation on cubic surfaces
Computer Aided Geometric Design
A new bivariate rational interpolation based on function values
Information Sciences—Informatics and Computer Science: An International Journal
Bounded Property and Point Control of a Bivariate Rational Interpolating Surface
Computers & Mathematics with Applications
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In this paper a bivariate rational biquartic interpolating spline based on function values with two parameters is constructed , and this spline is with biquartic numerator and bilinear denominator. The interpolating function has a simple and explicit mathematical representation, which is convenient both in practical application and in theoretical study. The interpolating surface is C1in the interpolating region when one of the parameters satisfies a simple condition. The interpolating surface can be modified by selecting suitable parameters under the condition that the interpolating data are not changed. It is proved that the values of the interpolating function in the interpolating region are bounded no matter what the parameters might be; this is called the bounded property of the interpolation. The approximation expressions of the interpolation are derived:they do not depend on the parameters.