scholarly journals Shape preserving rational bi-cubic function

2012 ◽  
Vol 13 (3) ◽  
pp. 147-154
Author(s):  
Malik Zawwar Hussain ◽  
Maria Hussain ◽  
Madiha Amjad
Keyword(s):  
Shape Preserving ◽  
Cubic Function

scholarly journals Local Convexity Shape-Preserving Data Visualization by Spline Function

2012 ◽  
Vol 2012 ◽  
pp. 1-14 ◽  
Author(s):  
Muhammad Abbas ◽  
Ahmad Abd Majid ◽  
Mohd Nain Hj Awang ◽  
Jamaludin Md Ali
Keyword(s):  
Error Bound ◽  
Data Visualization ◽  
Free Parameter ◽  
Spline Function ◽  
Convex Curve ◽  
Local Convexity ◽  
Shape Preserving ◽  
User Choice ◽  
Free Parameters ◽  
Cubic Function

The main purpose of this paper is the visualization of convex data that results in a smooth, pleasant, and interactive convexity-preserving curve. The rational cubic function with three free parameters is constructed to preserve the shape of convex data. The free parameters are arranged in a way that two of them are left free for user choice to refine the convex curve as desired, and the remaining one free parameter is constrained to preserve the convexity everywhere. Simple data-dependent constraints are derived on one free parameter, which guarantee to preserve the convexity of curve. Moreover, the scheme under discussion is, C1 flexible, simple, local, and economical as compared to existing schemes. The error bound for the rational cubic function is O(h3).

scholarly journals Shape preserving design of geometrically nonlinear structures using topology optimization

2019 ◽  
Vol 59 (4) ◽  
pp. 1033-1051 ◽  
Author(s):  
Yu Li ◽  
Jihong Zhu ◽  
Fengwen Wang ◽  
Weihong Zhang ◽  
Ole Sigmund
Keyword(s):  
Topology Optimization ◽  
Geometrically Nonlinear ◽  
Nonlinear Structures ◽  
Shape Preserving

Ceramic Nanoparticle Assemblies with Tailored Shapes and Tailored Chemistries via Biosculpting and Shape-Preserving Inorganic Conversion

2005 ◽  
Vol 5 (1) ◽  
pp. 63-67 ◽  
Author(s):  
M.B. Dickerson ◽  
R.R. Naik ◽  
P.M. Sarosi ◽  
G. Agarwal ◽  
M.O. Stone ◽  
...  
Keyword(s):  
Shape Preserving ◽  
Nanoparticle Assemblies

Shape preserving approximation by spatial cubic splines

2009 ◽  
Vol 26 (8) ◽  
pp. 888-903 ◽  
Author(s):  
V.P. Kong ◽  
B.H. Ong
Keyword(s):  
Cubic Splines ◽  
Shape Preserving

scholarly journals Shape preserving spline interpolation

1986 ◽  
Vol 18 (1) ◽  
pp. 53-57 ◽  
Author(s):  
John A Gregory
Keyword(s):  
Spline Interpolation ◽  
Shape Preserving

Approximation by shape preserving fractal functions with variable scalings

CALCOLO ◽  
2021 ◽  
Vol 58 (1) ◽  
Author(s):  
Sangita Jha ◽  
A. K. B. Chand ◽  
M. A. Navascués
Keyword(s):  
Shape Preserving ◽  
Fractal Functions
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