Green functions of the biharmonic operator, in one and two dimensions, are used for minimum curvature interpolation of irregularly spaced data points. The interpolating curve (or surface) is a linear combination of Green functions centered at each data point. The amplitudes of the Green functions are found by solving a linear system of equations. In one (or two) dimensions this technique is equ...

In this paper we present a method to optimize the smoothness order of subdivision algo rithms generating surfaces of arbitrary topology In particular we construct a subdivision algorithmwith some negative weights producing G surfaces These surfaces are piecewise bicubic and are at at their extraordinary points The underlying ideas can also be used to improve the smoothness order of subdivision ...

This paper addresses a gap in the arsenal of curvature continuous tensor-product spline constructions: an algorithm is provided to fill n-sided holes in C bi-3 spline surfaces using n patches of degree bi-6. Numerous experiments illustrate good highlight line and curvature distribution on the resulting surfaces.

‎In this paper‎, ‎firstly‎, ‎we review approximation of fuzzy functions‎ ‎by fuzzy bicubic splines interpolation and present a new approach‎ ‎based on the two-dimensional fuzzy splines interpolation and‎ ‎iterative method to approximate the solution of two-dimensional‎ ‎linear fuzzy Fredholm integral equation (2DLFFIE)‎. ‎Also‎, ‎we prove‎ ‎convergence analysis and numerical stability analysis ...

The aim of this study was, to derive well-performed four-color printer device characterisation models (DCMs), which were afterwards used to pack up entries of the look up table (LUT) to perform the actual complex colour-image transformations. Based on both non-linear and non-ideal behaviours of primary colorants, two types of printing device characterisation model approaches were proposed in th...

We establish several fundamental properties of analysis-suitable Tsplines which are important for design and analysis. First, we characterize T-spline spaces and prove that the space of smooth bicubic polynomials, defined over the extended T-mesh of an analysis-suitable T-spline, is contained in the corresponding analysis-suitable T-spline space. This is accomplished through the theory of pertu...

Recently, it was shown that a bi-cubic patch complex with n-sided holes can be completed into a curvature-continuous (G) surface by n-sided caps of degree bi-5 that offer good and flexible shape [KP13]. This paper further explores the space of n-sided caps of degree bi-5 but focusing on functionals to set degrees of freedom and to optimally propagate and average out curvature from the bi-cubic ...