In questo contributo sono introdotti concetti fondamentali di visione artificiale al fine di mettere in evidenza le connessioni che intercorrono fra talesettore della informatica applicata e quelli della matematica che sono utilizzati nellaprogettazione e l'implementazione degli algoritmi. Particolare rilevanza è data al concetto di simmetria spaziale e al suo ruolo nelle varie fasi che compongono i sistemidi visione artificiale. Sono inoltre brevemente elencate alcune applicazioni della visione artificiale in vari domini di interesse.
Referenze Bibliografiche
[1]
N. WIENER,
Cybernetics, or control and communication in the animal and the machine,
Massachusetts Institute of Technology, Cambridge
1965. |
MR 127995[3] G. KANIZSA, Margini quasi percettivi in campi con stimolazione omogenea, Rivista di Psicologia, Vol.49, No.1 (1955), 7-30.
[4]
M. FERRI,
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. |
fulltext bdim |
fulltext EuDML |
MR 1885108[5] W. KHÖLER - H. WALLACH, Figural after-effects: an investigation of visual processes, Proc. American Phil. Soc., Vol. 88 (1944), 269-357.
[6] H. ZABRODSKY, Symmetry - a review, Technical Report 90-16, CS Dep. The Hebrew University of Jerusalem, 1990.
[7]
N. BYERS,
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. |
MR 1665436 |
Zbl 0931.01011[8]
A.M. WEINBERG, ed.,
The collected works of Eugene Paul Wigner, vol.
5,
Springer-Verlag, New York (
1992). |
MR 1383096[9] T.A. SMITH, http://jan.ucc.nau.edu/~tas3/wtc/ii21s.pdf, 2005.
[10] S.H. CULLINANE, http://finitegeometry.org/sc/16/puzzle/index.html.
[11] http://fotos.pere.net/escher/.
[12] V. BRUCE, Recognizing faces, Lawrence Erlbaum Associates, 1988.
[13]
J. SERRA,
Image analysis and mathematical morphology,
Academic Press, New York,
1982. |
MR 753649 |
Zbl 0565.92001[14] J. CANNY, A computational approach to edge detection, IEEE Trans. on Pattern Analysis and Machine Intelligence, Vol. 8, N. 6 (1986), 679-698.
[15] V. DI GESÙ - C. VALENTI, Symmetry operators in computer vision Vistas in Astronomy, Elsevier Science, 1996.
[16]
M. BERTERO,
Matematica ed immagini: alcuni esempi e applicazioni,
Bollettino U.M.I., Matematica nella scienza e nella cultura, Vol. 80,
2-A (
1999), 47-67. |
fulltext bdim |
fulltext EuDML[17] D. REISFELD - H. WOLFSON - H. YESHURUN, Context free attentional operators: the generalized symmetry transform, Int. Journal of Computer Vision, Special Issue on Qualitative Vision, Vol. 14 (1995), 119-130.
[18] V. DI GESÙ - C. VALENTI - L. STRINATI, Local operators to detect regions of interest, Pattern Recognition Letters, Vol. 18 (1997), 1077-1081.
[19] A. CHELLA - V. DI GESÙ - I. INFANTINO - D. INTRAVAIA - C. VALENTI, 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.
[20] M. MINSKY - S. PAPERT, Perceptrons, Cambridge, MA, MIT Press, 1969.
[21]
H. BLUM -
R.N. NAGEL,
Shape description using weighted symmetric axis features,
Journal of Pattern Recognition, Vol.
10 (
1978), 167-180,. |
Zbl 0379.68067[22] A. CHIANESE - L.P. CORDELLA - M. DE SANTO - A. MARCELLI - M. VENTO, A structural method for handprinted character recognition, Recent Issues in Pattern Analysis and Recognition, 1998, 289-302.
[23] M. BRADY - H. ASADA, Smoothed local symmetries and their implementation, The International Journal of Robotics Research, Vol. 3, No. 3 (1984), 36-61.
[24]
A. ROSENFELD,
Picture Languages: Formal Models for Picture Recognition,
Academic Press, New York,
1979. |
MR 528637 |
Zbl 0471.68074[25]
D.P. MUKHERJEE -
A. ZISSERMAN -
M. BRADY,
Shape from symmetry: detecting and exploiting symmetry in affine images,
Philosofical Transaction of Royal Society of London Academy, Vol.
351 (
1995), 77-101. |
Zbl 0939.68882[26] T.J. CHAM - R. CIPOLLA, Symmetry detection through local skewed symmetries, Image and Vision Computing, Vol. 13, No. 5 (1995), 439-455.
[27] J. SATO - R. CIPOLLA, Affine integral invariants for extracting symmetry axes, Image and Vision Computing, Vol. 15, No. 5 (1997), 627-635.
[28] A.M. BRUCKSTEIN - D. SHAKED, Skew symmetry detection via invariant signatures, Pattern Recognition, Vol. 31, N. 2 (1998), 181-192.
[30]
R.O. DUDA -
P.E. HART -
D.G. STORK,
Pattern classification (2nd edition),
Wiley,
2001. |
MR 1802993[32]
V. DI GESÙ -
B. ZAVIDOVIQUE,
The S-Kernel: a measure of symmetry of objects,
Pattern Recognition, Vol.
40, N. 3 (
2006), 839-852. |
Zbl 1118.68153[33] V. DI GESÙ - B. ZAVIDOVIQUE, Robust measures of symmetry, submitted to Image and Vision Computing, 2006.