Abstract

This letter presents a novel application of iterated function system (IFS) based three-dimensional (3D) fractal interpolation to compression elevation data. The parameters of contractive transformations are simplified by a concise fractal iteration form with geometric meaning. A local iteration algorithm is proposed, which can solve the non-separation problem when Collage Theorem is applied to find the appropriate fractal parameters. The elevation data compression is proved experimentally to be effective in reconstruction quality and time-saving.

© 2005 Chinese Optics Letters

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2004 (1)

S. Y. Wu and Y. H. Zhou, J. Shanghai Jiaotong University 38, 4 (2004).

2003 (1)

2002 (1)

G. Kim and A. P. Barros, Remote Sensing of Environment 83, 2 (2002).

2001 (1)

H. P. Xie, H. Q. Sun, Y. Ju, and Z. G. Feng, International J. Solids and Structures 38, 32 (2001).

1998 (1)

J. R. Price and M. H. Hayes III, IEEE Signal Processing Lett. 5, 9 (1998).

Barros, A. P.

G. Kim and A. P. Barros, Remote Sensing of Environment 83, 2 (2002).

Feng, Z. G.

H. P. Xie, H. Q. Sun, Y. Ju, and Z. G. Feng, International J. Solids and Structures 38, 32 (2001).

Huang, F.

III, M. H. Hayes

J. R. Price and M. H. Hayes III, IEEE Signal Processing Lett. 5, 9 (1998).

Ju, Y.

H. P. Xie, H. Q. Sun, Y. Ju, and Z. G. Feng, International J. Solids and Structures 38, 32 (2001).

Kim, G.

G. Kim and A. P. Barros, Remote Sensing of Environment 83, 2 (2002).

Lou, Q. H.

Price, J. R.

J. R. Price and M. H. Hayes III, IEEE Signal Processing Lett. 5, 9 (1998).

Sun, H. Q.

H. P. Xie, H. Q. Sun, Y. Ju, and Z. G. Feng, International J. Solids and Structures 38, 32 (2001).

Wu, S. Y.

S. Y. Wu and Y. H. Zhou, J. Shanghai Jiaotong University 38, 4 (2004).

Xie, H. P.

H. P. Xie, H. Q. Sun, Y. Ju, and Z. G. Feng, International J. Solids and Structures 38, 32 (2001).

Zhou, Y. H.

S. Y. Wu and Y. H. Zhou, J. Shanghai Jiaotong University 38, 4 (2004).

Chin. Opt. Lett. (1)

IEEE Signal Processing Lett. (1)

J. R. Price and M. H. Hayes III, IEEE Signal Processing Lett. 5, 9 (1998).

International J. Solids and Structures (1)

H. P. Xie, H. Q. Sun, Y. Ju, and Z. G. Feng, International J. Solids and Structures 38, 32 (2001).

J. Shanghai Jiaotong University (1)

S. Y. Wu and Y. H. Zhou, J. Shanghai Jiaotong University 38, 4 (2004).

Remote Sensing of Environment (1)

G. Kim and A. P. Barros, Remote Sensing of Environment 83, 2 (2002).

Other (5)

Y. Fisher, Fractal Image Compression Theory and Application (Springer-Verlag, New York, 1995) chap. 3.

D. M. Monro and S. J. Woolley, in Proceeding of IEEE Conference on Acoustics, Speech and Signal Processing 557 (1994).

C. M. Wittenbrink, in Proceeding of the IEEE Visualization Conference 77 (1995).

H. Honda, M. Haseyama, and H. Kitajima, in Proceedings of IEEE International Conference on Image Processing 657 (1999).

B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, New York, 1982) chap. 6.

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