Group Averaged Linear Transforms that Detect Corners and Edges

J.C. Dunn

doi:10.1109/T-C.1975.224163

Publication
1975
Issue No. 12 - December
Abstract - Group Averaged Linear Transforms that Detect Corners and Edges

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Group Averaged Linear Transforms that Detect Corners and Edges

December 1975 (vol. 24 no. 12)

pp. 1191-1201

	ASCII Text	x
	J.C. Dunn, "Group Averaged Linear Transforms that Detect Corners and Edges," IEEE Transactions on Computers, vol. 24, no. 12, pp. 1191-1201, December, 1975.

	BibTex	x
	@article{ 10.1109/T-C.1975.224163, author = {J.C. Dunn}, title = {Group Averaged Linear Transforms that Detect Corners and Edges}, journal ={IEEE Transactions on Computers}, volume = {24}, number = {12}, issn = {0018-9340}, year = {1975}, pages = {1191-1201}, doi = {http://doi.ieeecomputersociety.org/10.1109/T-C.1975.224163}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - JOUR JO - IEEE Transactions on Computers TI - Group Averaged Linear Transforms that Detect Corners and Edges IS - 12 SN - 0018-9340 SP1191 EP1201 EPD - 1191-1201 A1 - J.C. Dunn, PY - 1975 KW - Artificial neurons KW - corner detection KW - edge detection KW - group averaging KW - linear transforms KW - pattern classification KW - plane figures KW - scale-invariant features KW - transformation invariants KW - threshold logic networks. VL - 24 JA - IEEE Transactions on Computers ER -

J.C. Dunn, Department of Theoretical and Applied Mechanics and the Center for Applied Mathematics, Cornell University

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/T-C.1975.224163

Linear transforms of the characteristic functions of plane figures are averaged over the one parameter continuous group of dilatations (homothetic scale changes) to obtain new dilatation-invariant transforms. For a large class of kernel functions, the group averaged transforms act as corner detectors or edge detectors.

Index Terms:

Artificial neurons, corner detection, edge detection, group averaging, linear transforms, pattern classification, plane figures, scale-invariant features, transformation invariants, threshold logic networks.

Citation:

J.C. Dunn, "Group Averaged Linear Transforms that Detect Corners and Edges," IEEE Transactions on Computers, vol. 24, no. 12, pp. 1191-1201, Dec. 1975, doi:10.1109/T-C.1975.224163

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