Approximate bandpass and frequency response models of the difference of Gaussian filter

The Difference of Gaussian (DOG) filter is widely used in optics and image processing as, among other things, an edge detection and correlation filter. It has important biological applications and appears to be part of the mammalian vision system. In this paper we analyse the filter and provide details of the full width half maximum, bandwidth and frequency response in order to aid the full characterisation of its performance. © 2010 Elsevier B.V. All rights reserved.

[1]  L. Toffolatti,et al.  Point source detection using the Spherical Mexican Hat Wavelet on simulated all-sky Planck maps , 2002, astro-ph/0212578.

[2]  Michael A. Malcolm,et al.  Computer methods for mathematical computations , 1977 .

[3]  Y. Miyoshi,et al.  Difference-of-Gaussian-Like Characteristics for Optoelectronic Visual Sensor , 2007, IEEE Sensors Journal.

[4]  I. Ohzawa,et al.  Length and width tuning of neurons in the cat's primary visual cortex. , 1994, Journal of neurophysiology.

[5]  Z. Moktadir,et al.  Scale decomposition of molecular beam epitaxy , 2007, Journal of physics. Condensed matter : an Institute of Physics journal.

[6]  Tetsuya Asai,et al.  Cellular νMOS Circuits Performing Edge Detection with Difference-of-Gaussian Filters , 2000 .

[7]  C R Chatwin,et al.  Application of nonlinearity to wavelet-transformed images to improve correlation filter performance. , 1997, Applied optics.

[8]  C R Chatwin,et al.  Synthetic discriminant function filter employing nonlinear space-domain preprocessing on bandpass-filtered images. , 1998, Applied optics.

[9]  David G. Lowe,et al.  Object recognition from local scale-invariant features , 1999, Proceedings of the Seventh IEEE International Conference on Computer Vision.

[10]  Robert Shapley,et al.  A new view of the primary visual cortex , 2004, Neural Networks.

[11]  Ling Xu,et al.  Robust image corner detection based on scale evolution difference of planar curves , 2009, Pattern Recognit. Lett..

[12]  D Marr,et al.  Theory of edge detection , 1979, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[13]  Voula C. Georgopoulos.  A proposed electro-optical implementation of lateral inhibition with phase-only filters , 1997 .

[14]  Chris Chatwin,et al.  Tuneable edge enhancement filters for optical correlation , 1995 .

[15]  Ingrid Daubechies,et al.  Ten Lectures on Wavelets , 1992 .

[16]  C. Floyd,et al.  Characterization of difference of Gaussian filters in the detection of mammographic regions. , 2006, Medical physics.

[17]  Chris Chatwin,et al.  Frequency multiplexed DOG filter , 1997 .