Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Filtering for Texture Classification: A Comparative Study
IEEE Transactions on Pattern Analysis and Machine Intelligence
Digital Signal Processing: A Computer-Based Approach
Digital Signal Processing: A Computer-Based Approach
Multidimensional Digital Signal Processing
Multidimensional Digital Signal Processing
Digital Image Processing (3rd Edition)
Digital Image Processing (3rd Edition)
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Texture classification and segmentation using wavelet frames
IEEE Transactions on Image Processing
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In this paper we propose a class of 2D circularly-symmetric filter banks based on a 1D IIR Gaussian prototype. We approach two cases, namely dyadic and uniform filter banks. The Gaussian prototype is obtained using an efficient rational approximation, namely the Chebyshev-Padé approximation. Then, using a frequency transformation, the corresponding 2D filters with circular symmetry are derived. These filters can be implemented both as digital filters, or in the analog version, using for instance the concept of cellular neural networks, which is detailed in the paper.