The Fractal Interpolating Algorithm of 3D Terrain Surface Reconstruction

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Abstract:

Fractal is a science which studies very irregular and complicated natural shapes. It has been used widely in image processing. Firstly this thesis analyses the reasons that fractal can be used in 3D (Three Dimensions) terrain surface reconstruction. Then, it introduces fractional Brownian motion (fBm). On this basis, the thesis presents an interpolating algorithm to reconstruct 3D terrain surface. The algorithm uses fBm model to interpolate. It can be achieved simply and a good result is obtained.

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526-529

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February 2015

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© 2015 Trans Tech Publications Ltd. All Rights Reserved

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[1] B.B. Mandelbrot. The Fractal Geometry of Nature. San Francisco. Freeman. (1982).

Google Scholar

[2] N. Yokoya,K. Yamamoto. Fractal-Based Analysis and Interpolation of 3D Natural Surface Shapes and Their Application to Terrain Modeling. CVGIP. 1989 Vol. 46 pp.284-302.

DOI: 10.1016/0734-189x(89)90034-0

Google Scholar

[3] Kenneth J. Falconer. Fractal Geometry-Mathematical Foundations and Applications.

Google Scholar

[4] A. Pentland. Fractal-Based Description of Nature Scenes. IEEE Trans. PAMI. 1984 Vol. 6(4) pp.661-674.

DOI: 10.1109/tpami.1984.4767591

Google Scholar

[5] H. Maitre, et al. Using Models to Improve Stereo Reconstruction. IEEE Trans. On PAMI. 1992 Vol. 21 pp.269-277.

Google Scholar

[6] S.S. Sinha B.G. Schunck. A Two-Stage Algorithm for Discontinuity Preserving Surface Reconstruction. IEEE Trans. On PAMI. 1992 Vol. 14(1) pp.36-55.

DOI: 10.1109/34.107012

Google Scholar

[7] R. Stevenson,E. Delp. Viewpoint Invariant Recovery of Visual Surfaces from Sparse Data. IEEE Trans. On PAMI. 1992 Vol. 14(9) pp.897-909.

DOI: 10.1109/34.161349

Google Scholar