Best One-Sided L 1-Approximation by B 2,1-Blending Functions

2001 ◽  
pp. 115-134 ◽  
Author(s):  
Dimiter Dryanov ◽  
Werner Haußmann ◽  
Petar Petrov
Keyword(s):  
Blending Functions

Degree of best approximation by trigonometric blending functions

1985 ◽  
Vol 189 (1) ◽  
pp. 143-150 ◽  
Author(s):  
Werner Hau�mann ◽  
Kurt Jetter ◽  
Bernd Steinhaus
Keyword(s):  
Best Approximation ◽  
Blending Functions

An Urnful of Blending Functions

1983 ◽  
Vol 3 (7) ◽  
pp. 49-54 ◽  
Author(s):  
Ronald Goldman
Keyword(s):  
Blending Functions

Linear independence of the blending functions of T-splines without multiple knots

2014 ◽  
Vol 41 (8) ◽  
pp. 3634-3639 ◽  
Author(s):  
Aizeng Wang ◽  
Gang Zhao ◽  
Yong-Dong Li
Keyword(s):  
Linear Independence ◽  
Blending Functions

PARTIALLY BLENDED CONSTRAINED RATIONAL CUBIC TRIGONOMETRIC FRACTAL INTERPOLATION SURFACES

Fractals ◽  
2016 ◽  
Vol 24 (03) ◽  
pp. 1650027 ◽  
Author(s):  
A. K. B. CHAND ◽  
K. R. TYADA
Keyword(s):  
Trigonometric Polynomials ◽  
Fractal Interpolation ◽  
Shape Parameters ◽  
New Family ◽  
Surface Data ◽  
Fractal Interpolation Functions ◽  
Blending Functions ◽  
Special Case ◽  
Theoretical Results ◽  
Interpolation Functions

Fractal interpolation is an advance technique for visualization of scientific shaped data. In this paper, we present a new family of partially blended rational cubic trigonometric fractal interpolation surfaces (RCTFISs) with a combination of blending functions and univariate rational trigonometric fractal interpolation functions (FIFs) along the grid lines of the interpolation domain. The developed FIFs use rational trigonometric functions [Formula: see text], where [Formula: see text] and [Formula: see text] are cubic trigonometric polynomials with four shape parameters. The convergence analysis of partially blended RCTFIS with the original surface data generating function is discussed. We derive sufficient data-dependent conditions on the scaling factors and shape parameters such that the fractal grid line functions lie above the grid lines of a plane [Formula: see text], and consequently the proposed partially blended RCTFIS lies above the plane [Formula: see text]. Positivity preserving partially blended RCTFIS is a special case of the constrained partially blended RCTFIS. Numerical examples are provided to support the proposed theoretical results.

A BEM formulation using B-splines: I-uniform blending functions

1990 ◽  
Vol 7 (3) ◽  
pp. 136-144 ◽  
Author(s):  
J.J.S.P. Cabral ◽  
L.C. Wrobel ◽  
C.A. Brebbia
Keyword(s):  
B Splines ◽  
Blending Functions

scholarly journals Lupaş blending functions with shifted knots and q-Bézier curves

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Kottakkaran Sooppy Nisar ◽  
Vinita Sharma ◽  
Asif Khan
Keyword(s):  
Bezier Curves ◽  
Bézier Curves ◽  
Blending Functions

Parametric Finite Element Method for Predicting Shapes of Three-Dimensional Solder Joints

1996 ◽  
Vol 118 (3) ◽  
pp. 142-147 ◽  
Author(s):  
N. J. Nigro ◽  
F. J. Zhou ◽  
S. M. Heinrich ◽  
A. F. Elkouh ◽  
R. A. Fournelle ◽  
...  
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Solder Joints ◽  
Three Dimensional ◽  
Potential Energy Function ◽  
Vertical Force ◽  
The Past ◽  
Nodal Coordinates ◽  
Blending Functions ◽  
Element Method

This paper discusses the application of the parametric finite element method for predicting shapes of three-dimensional solder joints. With this method, the surface of the joint is meshed (discretized) with finite elements. The spatial variables (x, y, z) are expanded over each element in terms of products of interpolation (blending) functions expressed in parametric form and element nodal coordinates. The element nodal coordinates which are not constrained by the boundary conditions are determined by minimizing the potential energy function which governs the joint formation problem. This method has been employed successfully in the past to predict the shapes of two dimensional fillet and axisymmetric joints. In this paper, the method is extended to three dimensional problems involving sessile drops formed on a rectangular pad and solder columns formed between two horizontal planes and subject to a vertical force.

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