Triangular Berstein-Be´zier patches
Computer Aided Geometric Design
Generating the Be´zier points of a &bgr;-spline curve
Computer Aided Geometric Design
A sharp upper bound on the approximation order of smooth bivariate PP functions
Journal of Approximation Theory
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
Curves and surfaces for CAGD: a practical guide
Curves and surfaces for CAGD: a practical guide
The Mathematical Basis of the UNISURF CAD System
The Mathematical Basis of the UNISURF CAD System
IEEE Computer Graphics and Applications
Composite schemes for multivariate blending rational interpolation
Journal of Computational and Applied Mathematics - Selected papers of the international symposium on applied mathematics, August 2000, Dalian, China
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
Technical section: Convexity control of a bivariate rational interpolating spline surfaces
Computers and Graphics
Convexity-Preserving Piecewise Rational Quartic Interpolation
SIAM Journal on Numerical Analysis
Positivity-preserving interpolation of positive data by rational cubics
Journal of Computational and Applied Mathematics
Point control of the interpolating curve with a rational cubic spline
Journal of Visual Communication and Image Representation
Local control of interpolating rational cubic spline curves
Computer-Aided Design
Adaptive quasi-interpolating quartic splines
Computing - Geometric Modelling, Dagstuhl 2008
Technical Section: A blending interpolator with value control and minimal strain energy
Computers and Graphics
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In many practical problems, such as geological exploration, forging technology and medical imaging, among others, it has been detected that the scattered data are usually arranged in parallel lines. In this paper, a new approach to construct a bivariate rational interpolation over triangulation is presented, based on scattered data in parallel lines. The main advantage of this method comparing with the present interpolation methods have two points: (1) the interpolation function is carried out by a simple and explicit mathematical representation through the parameter @a; (2) the shape of the interpolating surface can be modified by using the parameter for the unchanged interpolating data. Moreover, a local shape control method is employed to control the shape of surfaces. In the special case, the method of ''Barycenter Value Control'' is studied, and numerical examples are presented to show the performance of the method.