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Title: ANALYSIS AND ASSESSMENT OF THE ACCURACY OF INTERPRETATION OF A BILINEAR, BICUBIC INTERPOLATION AND BEZIER POLYNOMIALS
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ANALYSIS AND ASSESSMENT OF THE ACCURACY OF INTERPRETATION OF A BILINEAR, BICUBIC INTERPOLATION AND BEZIER POLYNOMIALS
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1314-2704
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English
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20
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2.1
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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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conference
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20th International Multidisciplinary Scientific GeoConference SGEM 2020
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20th International Multidisciplinary Scientific GeoConference SGEM 2020, 18 - 24 August, 2020
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Proceedings Paper
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STEF92 Technology
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International Multidisciplinary Scientific GeoConference-SGEM
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SWS Scholarly Society; Acad Sci Czech Republ; Latvian Acad Sci; Polish Acad Sci; Russian Acad Sci; Serbian Acad Sci & Arts; Natl Acad Sci Ukraine; Natl Acad Sci Armenia; Sci Council Japan; European Acad Sci, Arts & Letters; Acad Fine Arts Zagreb Croatia; C
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449-456
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18 - 24 August, 2020
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website
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cdrom
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7019
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bilinear; bicubic; interpolation; bezier; polynomials
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