The Design and Use of Steerable Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Two-Dimensional Digital Filters
Two-Dimensional Digital Filters
Multidimensional Digital Signal Processing
Multidimensional Digital Signal Processing
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
A filter bank for the directional decomposition of images: theoryand design
IEEE Transactions on Signal Processing
Steerable wedge filters for local orientation analysis
IEEE Transactions on Image Processing
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This work proposes some mathematical methods used in the design of a class of two-dimensional recursive filters, with an orientation-selective frequency response. We propose an analytical design method based on a given 1D digital prototype filter and a frequency transformation determined using Chebyshev-Padé approximations and the bilinear transform. These filters may find useful applications in image processing, like detecting lines with a given orientation from an image, as we show through simulation results. The resulted filters are very efficient, being at the same time of low complexity and relatively high selectivity. Simulation results are provided which show their image filtering capabilities.