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ANALYSIS AND ASSESSMENT OF THE ACCURACY OF INTERPRETATION OF A BILINEAR, BICUBIC INTERPOLATION AND BEZIER POLYNOMIALS

Pavel Pavlov

First published: 2020-09-20https://doi.org/10.5593/sgem2020/2.1/s08.058View metrics

Abstract

Irregular digital models (TINs), which are expensive, are used to model engineering structures, terrain surfaces and hydrography. Interpolation with regular digital models are more affordable at the expense of accuracy. There are many methods for interpolating surfaces, depending on the purpose, the appropriate models are selected. The paper presents bilinear, bicubic interpolation and interpolation with Bezier polynomials. The aim is to empirically compare the accuracy of interpolated surfaces with bilinear, bicubic interpolation and Bezier polynomials, by comparison with TIN and IDW models. The obtained empirical mean square errors in bilinear and bicubic interpolation depend on the cell size. The smaller the cell size, the closer the end element is to the surface; The results obtained from the Bezier interpolation function have a significant systematic error, because in the 3rd degree the internal nodes are a restriction of the surface and it does not pass through them. Using functions with a lower degree of polynomial as bilinear functions have higher accuracy. Disadvantage have a smoothness of 0 degrees. The Bezier interpolation function has no practical application in digital terrain models due to large systematic errors.

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Publication details

Title
ANALYSIS AND ASSESSMENT OF THE ACCURACY OF INTERPRETATION OF A BILINEAR, BICUBIC INTERPOLATION AND BEZIER POLYNOMIALS
Authors
Pavel Pavlov
Proceedings
SGEM International Multidisciplinary Scientific GeoConference EXPO Proceedings; 20th International Multidisciplinary Scientific GeoConference Proceedings SGEM 2020, Informatics, Geoinformatics and Remote Sensing
Publisher
STEF92 Technology
Year
2020
Pages
449-456
SWS Citekey
Pavlov20208449456
ISSN
1314-2704
ISBN
978-619-7603-06-4
Language
en
Publication type
Conference Paper
Keywords
bilinearbicubicinterpolationbezierpolynomials
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