Abstract
Images can be reconstructed after being filtered by a Gaussian and a few Gabor filters. Several search methods for the filter parameters for a (near) optimal reconstruction are examined. At first, the search is performed on a 1-D signal which satisfies the radial spectrum of the average of natural images. Later, these results are extended and applied to a 2-D example. It is shown that the resulting parameters are better than those of some existing models.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
J. Bigun and J. M. H. du Buf, “N–Folded Symmetries by Complex Moments in Gabor Space and Their Application to Unsupervised Texture Segmentation,” IEEE Trans. Pattern Analysis Mach. Intell., vol. 16, no.1, 1994, pp. 80–87.
W. F. Bischof and T. Caelli, “Parsing Scale–Space and Spatial Stability Analysis,” Comput. Vision, Graphics and Image Processing, vol. 42, 1988, pp. 192–205.
J. Daugman, “Two–Dimensional Spectral Analysis of Cortical Receptive Field Profiles,” Vision Res., vol. 20, 1980, pp. 847–856.
B. Liu, Wavelet Phase Filter for Denoising in Tomographic Image Reconstruction, PhD thesis, Illinois Inst. Tech., 1994.
S. Marcelja, “Mathematical Description of the Responses of Simple Cortical Cells,” J. Opt. Soc. Am. A,vol. 70, no. 11, 1980, pp. 1297–1300.
D. Marr and E. Hildreth, “Theory of Edge Detection,” Proc. R. Soc. London B, vol. 207, 1980, pp. 187–217.
R. Navarro and A. Tabernero, “Gaussian Wavelet Transform: Two Alternative Fast Implementations for Images,” Multidimen. Syst. Signal Process., vol. 2, 1991, pp. 421–436.
E. Peli, “Adaptive Enhancement Based on a Visual Model,” Opt. Eng., vol. 26, no.7, 1987, pp. 655–660.
J. H. Van Deemter and G. Cristóbal, “Signal Reconstruction with a Small Set of Gabor Filters,” SPIE Proceedings Advanced Signal Processing VI, 1996, p. 2846.
A. Van der Schaaf and J. H. Van Hateren, “Modelling the Power Spectra of Natural Images: Statistics and Information,” Vision Res., 1996, pp. 2759–2770
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Van Deemter, J.H., Cristobal, G. Optimal Reconstruction of Natural Images by Small Sets of Gabor Filters. Multidimensional Systems and Signal Processing 9, 459–463 (1998). https://doi.org/10.1023/A:1008439232168
Issue Date:
DOI: https://doi.org/10.1023/A:1008439232168