Rotation-invariant operators and scale-space filtering

Abstract We analyse the ‘Laplacian of the Gaussian’ approach with the help of rotation-invariant operators and we show how the original image is related to the Gaussian (and Laplace-) filtered version of it.

[1]  V. S. Vladimirov,et al.  Equations of mathematical physics , 1972 .

[2]  Andrew P. Witkin,et al.  Uniqueness of the Gaussian Kernel for Scale-Space Filtering , 1986, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[3]  G. Watson Bessel Functions. (Scientific Books: A Treatise on the Theory of Bessel Functions) , 1923 .

[4]  Alan L. Yuille,et al.  Scaling Theorems for Zero Crossings , 1987, IEEE Transactions on Pattern Analysis and Machine Intelligence.