Simmetrie e processi visivi
La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana (2009)
- Volume: 2, Issue: 1, page 1-30
- ISSN: 1972-7356
Access Full Article
topAbstract
topHow to cite
topReferences
top- WIENER, N., Cybernetics, or control and communication in the animal and the machine, Massachusetts Institute of Technology, Cambridge1965. MR127995
- SHANNON, C.E., A mathematical theory of communication, Bell System Technical Journal, vol. 27, 1948. Zbl1154.94303MR26286DOI10.1002/j.1538-7305.1948.tb01338.x
- KANIZSA, G., Margini quasi percettivi in campi con stimolazione omogenea, Rivista di Psicologia, Vol.49, No.1 (1955), 7-30.
- FERRI, M., Visione delle macchine: una sfida anche per i matematici, Bollettino U.M.I., Matematica nella scienza e nella cultura, Vol. 8, 4-A (2001), 85-115. MR1885108
- KHÖLER, W. - WALLACH, H., Figural after-effects: an investigation of visual processes, Proc. American Phil. Soc., Vol. 88 (1944), 269-357.
- ZABRODSKY, H., Symmetry - a review, Technical Report 90-16, CS Dep. The Hebrew University of Jerusalem, 1990.
- BYERS, N., E. Noether's Discovery of the Deep Connection Between Symmetries and Conservation Laws, Israel Mathematical Conference Proceedings Vol. 12, BarIlan University, Tel Aviv, Israel, December 2-3, 1996. Zbl0931.01011MR1665436
- A.M. WEINBERG, ed., The collected works of Eugene Paul Wigner, vol. 5, Springer-Verlag, New York (1992). MR1383096
- SMITH, T.A., http://jan.ucc.nau.edu/~tas3/wtc/ii21s.pdf, 2005.
- CULLINANE, S.H., http://finitegeometry.org/sc/16/puzzle/index.html.
- http://fotos.pere.net/escher/.
- BRUCE, V., Recognizing faces, Lawrence Erlbaum Associates, 1988.
- SERRA, J., Image analysis and mathematical morphology, Academic Press, New York, 1982. Zbl0565.92001MR753649
- CANNY, J., A computational approach to edge detection, IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 8, N. 6 (1986), 679-698.
- DI GESÙ, V. - VALENTI, C., Symmetry operators in computer vision Vistas in Astronomy, Elsevier Science, 1996.
- BERTERO, M., Matematica ed immagini: alcuni esempi e applicazioni, Bollettino U.M.I., Matematica nella scienza e nella cultura, Vol. 80, 2-A (1999), 47-67.
- REISFELD, D. - WOLFSON, H. - YESHURUN, H., Context free attentional operators: the generalized symmetry transform, Int. Journal of Computer Vision, Special Issue on Qualitative Vision, Vol. 14 (1995), 119-130.
- DI GESÙ, V. - VALENTI, C. - STRINATI, L., Local operators to detect regions of interest, Pattern Recognition Letters, Vol. 18 (1997), 1077-1081.
- CHELLA, A. - DI GESÙ, V. - INFANTINO, I. - INTRAVAIA, D. - VALENTI, C., Cooperating strategy for objects recognition, in Lecture Notes in Computer Science book Shape, contour and grouping in computer vision, Springer Verlag, Vol. 1681 (1999), 264-274.
- MINSKY, M. - PAPERT, S., Perceptrons, Cambridge, MA, MIT Press, 1969.
- BLUM, H. - NAGEL, R.N., Shape description using weighted symmetric axis features, Journal of Pattern Recognition, Vol. 10 (1978), 167-180,. Zbl0379.68067
- CHIANESE, A. - CORDELLA, L.P. - DE SANTO, M. - MARCELLI, A. - VENTO, M., A structural method for handprinted character recognition, Recent Issues in Pattern Analysis and Recognition, 1998, 289-302.
- BRADY, M. - ASADA, H., Smoothed local symmetries and their implementation, The International Journal of Robotics Research, Vol. 3, No. 3 (1984), 36-61.
- ROSENFELD, A., Picture Languages: Formal Models for Picture Recognition, Academic Press, New York, 1979. Zbl0471.68074MR528637
- MUKHERJEE, D.P. - ZISSERMAN, A. - BRADY, M., Shape from symmetry: detecting and exploiting symmetry in affine images, Philosofical Transaction of Royal Society of London Academy, Vol. 351 (1995), 77-101. Zbl0939.68882
- CHAM, T.J. - CIPOLLA, R., Symmetry detection through local skewed symmetries, Image and Vision Computing, Vol. 13, No. 5 (1995), 439-455.
- SATO, J. - CIPOLLA, R., Affine integral invariants for extracting symmetry axes, Image and Vision Computing, Vol. 15, No. 5 (1997), 627-635.
- BRUCKSTEIN, A.M. - SHAKED, D., Skew symmetry detection via invariant signatures, Pattern Recognition, Vol. 31, N. 2 (1998), 181-192.
- BISHOP, C.M., Neural networks for pattern recognition, Oxford University Press, 1995. Zbl0868.68096MR1385195
- DUDA, R.O. - HART, P.E. - STORK, D.G., Pattern classification (2nd edition), Wiley, 2001. MR1802993
- VAPNIK, V.N., The Nature of statistical learning theory, Springer, 1995. Zbl0833.62008MR1367965DOI10.1007/978-1-4757-2440-0
- DI GESÙ, V. - ZAVIDOVIQUE, B., The S-Kernel: a measure of symmetry of objects, Pattern Recognition, Vol. 40, N. 3 (2006), 839-852. Zbl1118.68153
- DI GESÙ, V. - ZAVIDOVIQUE, B., Robust measures of symmetry, submitted to Image and Vision Computing, 2006.