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Uniqueness of the Gaussian Kernel for Scale-Space Filtering
January 1986 (vol. 8 no. 1)
pp. 26-33
| ASCII Text | x | ||
| Jean Babaud, Andrew P. Witkin, Michel Baudin, Richard O. Duda, "Uniqueness of the Gaussian Kernel for Scale-Space Filtering," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 8, no. 1, pp. 26-33, January, 1986. | |||
| BibTex | x | ||
| @article{ 10.1109/TPAMI.1986.4767749, author = {Jean Babaud and Andrew P. Witkin and Michel Baudin and Richard O. Duda}, title = {Uniqueness of the Gaussian Kernel for Scale-Space Filtering}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {8}, number = {1}, issn = {0162-8828}, year = {1986}, pages = {26-33}, doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.1986.4767749}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, } | |||
| RefWorks Procite/RefMan/Endnote | x | ||
| TY - JOUR JO - IEEE Transactions on Pattern Analysis and Machine Intelligence TI - Uniqueness of the Gaussian Kernel for Scale-Space Filtering IS - 1 SN - 0162-8828 SP26 EP33 EPD - 26-33 A1 - Jean Babaud, A1 - Andrew P. Witkin, A1 - Michel Baudin, A1 - Richard O. Duda, PY - 1986 VL - 8 JA - IEEE Transactions on Pattern Analysis and Machine Intelligence ER - | |||
Scale-space filtering constructs hierarchic symbolic signal descriptions by transforming the signal into a continuum of versions of the original signal convolved with a kernal containing a scale or bandwidth parameter. It is shown that the Gaussian probability density function is the only kernel in a broad class for which first-order maxima and minima, respectively, increase and decrease when the bandwidth of the filter is increased. The consequences of this result are explored when the signal¿or its image by a linear differential operator¿is analyzed in terms of zero-crossing contours of the transform in scale-space.
Citation:
Jean Babaud, Andrew P. Witkin, Michel Baudin, Richard O. Duda, "Uniqueness of the Gaussian Kernel for Scale-Space Filtering," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 8, no. 1, pp. 26-33, Jan. 1986, doi:10.1109/TPAMI.1986.4767749
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