Constrained curve interpolation in 3D

2021 ◽  
Author(s):  
Noorul Afiah Binti Mohamed Shuaib ◽  
Kong Voon Pang
Keyword(s):  
Curve Interpolation

scholarly journals Optimal sampling and curve interpolation via wavelets

2013 ◽  
Vol 26 (7) ◽  
pp. 774-779 ◽  
Author(s):  
Heeyoung Kim ◽  
Xiaoming Huo
Keyword(s):  
Optimal Sampling ◽  
Curve Interpolation

Smooth curve interpolation

1969 ◽  
Vol 9 (1) ◽  
pp. 69-77 ◽  
Author(s):  
C. H. Woodford
Keyword(s):  
Smooth Curve ◽  
Curve Interpolation

Lorenz Curve Interpolation and the Gini Coefficient

2010 ◽  
Author(s):  
Nicholas Charles Rohde
Keyword(s):  
Gini Coefficient ◽  
Lorenz Curve ◽  
Polynomial Spline ◽  
The Philippines ◽  
The Body ◽  
Grouped Data ◽  
Parametric Methods ◽  
Lorenz Curves ◽  
Curve Interpolation ◽  
Income Decile

This article presents a simple non-polynomial spline that may be used to construct Lorenz curves from grouped data. The spline is naturally convex and works by determining a series of piecewise segments that may be joined to give a smooth and continuous Lorenz curve. The method is illustrated with an empirical example using income decile data from the Philippines from 1991-2003 where the proposed technique is used alongside other parametric and non-parametric methods. We also use the spline to approximate some known Lorenz curves and assess the technique by comparing the estimated Gini coefficient to the known Gini. Our findings suggest that the method is an attractive addition to the body of techniques used for developing Lorenz curves from grouped data.

scholarly journals Modelling and Rapid Prototyping of Centrifugal Pump Impeller Based on UG

2019 ◽  
Vol 291 ◽  
pp. 02009
Author(s):  
Yongmei Jiang ◽  
Zilong Wang ◽  
Zhao Jingnan
Keyword(s):  
Rapid Prototyping ◽  
Centrifugal Pump ◽  
3D Model ◽  
Pump Impeller ◽  
Innovative Design ◽  
Design Modification ◽  
Nurbs Curve ◽  
Curve Interpolation ◽  
Centrifugal Pump Impeller

The 3D model of centrifugal pump impeller in Unigraphics (UG) was optimized by implementing the principles of NURBS curve interpolation. The impeller was then manufactured by rapid prototyping equipment using polystyrene. The technique improves the efficiency in innovative design, modification, and fabrication.

scholarly journals Shape Preserving Data Interpolation Using Rational Cubic Ball Functions

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Ayser Nasir Hassan Tahat ◽  
Abd Rahni Mt Piah ◽  
Zainor Ridzuan Yahya
Keyword(s):  
Numerical Experiments ◽  
Smooth Curve ◽  
The Other ◽  
Data Interpolation ◽  
Shape Parameters ◽  
Interpolation Scheme ◽  
Shape Preserving ◽  
Curve Interpolation ◽  
Two Parameters

A smooth curve interpolation scheme for positive, monotone, and convex data is developed. This scheme uses rational cubic Ball representation with four shape parameters in its description. Conditions of two shape parameters are derived in such a way that they preserve the shape of the data, whereas the other two parameters remain free to enable the user to modify the shape of the curve. The degree of smoothness isC1. The outputs from a number of numerical experiments are presented.

Curve Interpolation and Financial Curve Construction

2015 ◽  
pp. 159-170
Author(s):  
Pengfei Huang ◽  
Haiyan Wang ◽  
Ping Wu ◽  
Yifei Li
Keyword(s):  
Curve Interpolation
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