Bicubic Spline Interpolation

1962 ◽  
Vol 41 (1-4) ◽  
pp. 212-218 ◽  
Author(s):  
Carl de Boor
Keyword(s):  
Spline Interpolation ◽  
Bicubic Spline

Optimal knots allocation in the cubic and bicubic spline interpolation problems

2019 ◽  
Vol 164 ◽  
pp. 131-145 ◽  
Author(s):  
H. Idais ◽  
M. Yasin ◽  
M. Pasadas ◽  
P. González
Keyword(s):  
Spline Interpolation ◽  
Bicubic Spline ◽  
Interpolation Problems

scholarly journals BUILDING 3D SURFACES OF LAND STORAGE VERTICAL CYLINDRICAL STEEL TANK USING BICUBIC SPLINE INTERPOLATION

2019 ◽  
Vol 45 (2) ◽  
pp. 85-91
Author(s):  
Kostyantyn Burak ◽  
Vitaliy Kovtun ◽  
Mary Nychvyd
Keyword(s):  
Information Content ◽  
Spline Interpolation ◽  
Geometric Parameters ◽  
Practical Significance ◽  
Bicubic Spline ◽  
3D Surface ◽  
Nominal Capacity ◽  
Steel Tank ◽  
Steel Tanks ◽  
Cylindrical Steel

The purpose of this work is to increase the accuracy, quality and information content of geodetic surveys of vertical steel tanks by using modern geodetic equipment and creating algorithms for data processing of these observations. Method. In order to increase the information content of data for straightening, it is proposed to calculate the geometric parameters of vertical steel tanks not only in places where data are directly obtained through instrumental observations, but also at any point of the 3D surface of the tank. The paper describes an algorithm for creating a 3D surface of a tank by bicubic spline interpolation (BSI). Results on the basis of the conducted research, it was established that the developed algorithm could be used and the 3D-surface spatial coordinates were determined. The method of determining the geometric parameters of vertical steel tanks by using BSI is improved. Scientific novelty and practical significance. Bicubic spline interpolation (BSI) was used for the first time. It greatly increases the accuracy and informality of the results of the control. The practical significance is confirmed by the control of the geometric parameters of a vertical cylindrical steel tank with a nominal capacity of 75.000 m3 with a floating roof and a double wall of the LODS “Brody” company.

scholarly journals A new gridding method for zonal travel activity and emissions using bicubic spline interpolation

2004 ◽  
Vol 38 (8) ◽  
pp. 751-766 ◽  
Author(s):  
Yi Zheng ◽  
Bo Wang ◽  
H.Michael Zhang ◽  
Debbie Niemeier
Keyword(s):  
Spline Interpolation ◽  
Bicubic Spline

BICUBIC SPLINE INTERPOLATION AS A METHOD FOR TREATMENT OF POTENTIAL FIELD DATA

Geophysics ◽  
1969 ◽  
Vol 34 (3) ◽  
pp. 402-423 ◽  
Author(s):  
B. K. Bhattacharyya
Keyword(s):  
Field Data ◽  
Spline Interpolation ◽  
Amplitude Spectrum ◽  
Accurate Method ◽  
Fourier Series Expansion ◽  
Small Scale ◽  
Spline Functions ◽  
Two Dimensional ◽  
Potential Field Data ◽  
Bicubic Spline

A method for the generation of bicubic spline functions is presented in this paper. From this method it becomes apparent that these functions derive their potential strength in accurate and reliable representation of two‐dimensional data by maintaining continuity of the variable and its slope and curvature throughout the area of observation. The results obtained by computing horizontal and vertical derivatives with model and field data illustrate the exceptional accuracy achieved with spline functions. The piecewise cubic polynomial functions expressing observed data analytically in space are used to estimate amplitude and phase spectra of magnetic anomalies. At relatively long wavelengths the amplitude spectrum thus calculated displays remarkable similarity with the true spectrum and is found to be superior to that obtained with two‐dimensional Fourier series expansion. A cubic spline method is also presented for computing values of an observed variable at equispaced points along two orthogonal directions with the help of irregularly distributed data. The interpolation technique applied to field data shows high resolution by maintaining the separation of neighboring anomalies and the small‐scale features. The shapes, peaks, and troughs of both large and small amplitude anomalies are faithfully reproduced. The gradients of the magnetic field do not undergo any appreciable distortion. It can thus be concluded that cubic splines are a reliable and accurate method of interpolation.

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