메뉴 건너뛰기




Volumn 41, Issue 1-2, 2000, Pages 229-258

Automatic programming of morphological machines by PAC learning

Author keywords

Mathematical morphology; Operator decomposition; PAC learning

Indexed keywords


EID: 0000066424     PISSN: 01692968     EISSN: None     Source Type: Journal    
DOI: 10.3233/fi-2000-411208     Document Type: Article
Times cited : (40)

References (42)
  • 2
    • 0003277469 scopus 로고    scopus 로고
    • Representation and optimization of stack filters
    • SPIE and IEEE Press
    • Astola, J. T., and Kuosmanen, P. Representation and optimization of stack filters. In Nonlinear Filters for Image Processing. SPIE and IEEE Press, 1999, pp. 237-280.
    • (1999) Nonlinear Filters for Image Processing , pp. 237-280
    • Astola, J.T.1    Kuosmanen, P.2
  • 3
    • 0026392293 scopus 로고
    • Minimal representations for translation-invariant set mappings by mathematical morphology
    • December
    • Banon, G. J. F., and Barrera, J. Minimal Representations for Translation-invariant Set Mappings by Mathematical Morphology. SIAM J. Appl. Math. 51, 6 (December 1991), 1782-1798.
    • (1991) SIAM J. Appl. Math. , vol.51 , Issue.6 , pp. 1782-1798
    • Banon, G.J.F.1    Barrera, J.2
  • 4
    • 0027543317 scopus 로고
    • Decomposition of mappings between complete lattices by mathematical morphology, part I: General lattices
    • Banon, G. J. F., and Barrera, J. Decomposition of Mappings Between Complete Lattices by Mathematical Morphology, Part I: General Lattices. Signal Processing 30 (1993), 299-327.
    • (1993) Signal Processing , vol.30 , pp. 299-327
    • Banon, G.J.F.1    Barrera, J.2
  • 5
    • 30244445360 scopus 로고
    • A mathematical morphology toolbox for the KHOROS system
    • Image Algebra and Morphological Image Processing V San Diego, California, July
    • Barrera, J., Banon, G., and Lotufo, R. A Mathematical Morphology Toolbox for the KHOROS System. In Image Algebra and Morphological Image Processing V (San Diego, California, July 1994), SPIE Proceedings.
    • (1994) SPIE Proceedings
    • Barrera, J.1    Banon, G.2    Lotufo, R.3
  • 6
    • 0027098663 scopus 로고
    • Expressiveness of the morphological language
    • San Diego, California, SPIE
    • Barrera, J., and Banon, G. J. F. Expressiveness of the Morphological Language. In Image Algebra and Morphological Image Processing III (San Diego, California, 1992), vol. 1769, SPIE, pp. 264-274.
    • (1992) Image Algebra and Morphological Image Processing III , vol.1769 , pp. 264-274
    • Barrera, J.1    Banon, G.J.F.2
  • 7
    • 0001046838 scopus 로고    scopus 로고
    • MMach: A mathematical morphology toolbox for the khoros system
    • Barrera, J., Banon, G. J. F., Lotufo, R. A., and Hirata Jr., R. MMach: a Mathematical Morphology Toolbox for the Khoros System. Electronic Imaging 7, 1 (1998), 174-210.
    • (1998) Electronic Imaging , vol.7 , Issue.1 , pp. 174-210
    • Barrera, J.1    Banon, G.J.F.2    Lotufo, R.A.3    Hirata R., Jr.4
  • 8
    • 0002615940 scopus 로고    scopus 로고
    • Automatic programming of binary morphological machines by design of statistically optimal operators in the context of computational Learning theory
    • January
    • Barrera, J., Dougherty, E. R., and Tomita, N. S. Automatic Programming of Binary Morphological Machines by Design of Statistically Optimal Operators in the Context of Computational Learning Theory. Electronic Imaging 6, 1 (January 1997), 54-67.
    • (1997) Electronic Imaging , vol.6 , Issue.1 , pp. 54-67
    • Barrera, J.1    Dougherty, E.R.2    Tomita, N.S.3
  • 9
    • 0039215227 scopus 로고    scopus 로고
    • Finding optimal sequential decompositions of erosions and dilations
    • Mathematical Morphology and its Applications to Image and Signal Processing Amsterdam, The Netherlands, June H. J. A. M. Heijmans and J. B. T. M. Roerdink, Eds., Kluwer Academic Publishers
    • Barrera, J., Ferreira, C. E., and Hashimoto, R. F. Finding Optimal Sequential Decompositions of Erosions and Dilations. In Mathematical Morphology and its Applications to Image and Signal Processing (Amsterdam, The Netherlands, June 1998), H. J. A. M. Heijmans and J. B. T. M. Roerdink, Eds., International Symposium on Mathematical Morphology, Kluwer Academic Publishers, pp. 299-306.
    • (1998) International Symposium on Mathematical Morphology , pp. 299-306
    • Barrera, J.1    Ferreira, C.E.2    Ashimoto, R.F.3
  • 10
    • 0000867094 scopus 로고    scopus 로고
    • Set operations on collections of closed intervals and their applications to the automatic programming of morphological machines
    • July
    • Barrera, J., and Salas, G. P. Set Operations on Collections of Closed Intervals and Their Applications to the Automatic Programming of Morphological Machines. Electronic Imaging 5, 3 (July 1996), 335-352.
    • (1996) Electronic Imaging , vol.5 , Issue.3 , pp. 335-352
    • Barrera, J.1    Salas, G.P.2
  • 12
    • 0004190631 scopus 로고
    • American Mathematical Society, Providence, Rhode Island
    • Birkhoff, G. Lattice Theory. American Mathematical Society, Providence, Rhode Island, 1967.
    • (1967) Lattice Theory
    • Birkhoff, G.1
  • 15
  • 17
    • 0039807197 scopus 로고
    • Using genetic algorithms in the design of morphological filters
    • Barcelona, Spain, J. Serra and P. Soille, Eds., International Symposium on Mathematical Morphology, Kluwer Academic Publishers
    • Harvey, N., and Marshall, S. Using Genetic Algorithms in the Design of Morphological Filters. In Mathematical Morphology and its Applications to Image Processing (Barcelona, Spain, 1994), J. Serra and P. Soille, Eds., International Symposium on Mathematical Morphology, Kluwer Academic Publishers, pp. 53-59.
    • (1994) Mathematical Morphology and Its Applications to Image Processing , pp. 53-59
    • Harvey, N.1    Marshall, S.2
  • 18
    • 0039215216 scopus 로고    scopus 로고
    • Gray-scale soft morphological filter optimization by genetic algorithms
    • Mathematical Morphology and its Applications to Image and Signal Processing Atlanta, Georgia, P. Maragos, R. W. Schafer, and M. A. Butt, Eds., Kluwer Academic Publishers
    • Harvey, N. R., and Marshall, S. Gray-Scale Soft Morphological Filter Optimization by Genetic Algorithms. In Mathematical Morphology and its Applications to Image and Signal Processing (Atlanta, Georgia, 1996), P. Maragos, R. W. Schafer, and M. A. Butt, Eds., International Symposium on Mathematical Morphology, Kluwer Academic Publishers, pp. 179-186.
    • (1996) International Symposium on Mathematical Morphology , pp. 179-186
    • Harvey, N.R.1    Marshall, S.2
  • 20
    • 0002192516 scopus 로고
    • Decision theoretic generalizations of the PAC model for neural nets and other learning applications
    • Haussler, D. Decision Theoretic Generalizations of the PAC Model for Neural Nets and Other Learning Applications. Information and Computation 100 (1992), 78-150.
    • (1992) Information and Computation , vol.100 , pp. 78-150
    • Haussler, D.1
  • 23
    • 0039807208 scopus 로고    scopus 로고
    • Design of statistically optimal stack filters
    • Campinas, SP, Brazil
    • Hirata, N. S. T., Barrera, J., and Dougherty, E. R. Design of Statistically Optimal Stack Filters. In Proc. of Sibgrapi'99 (Campinas, SP, Brazil, 1999), pp. 265-274.
    • (1999) Proc. of Sibgrapi'99 , pp. 265-274
    • Hirata, N.S.T.1    Barrera, J.2    Dougherty, E.R.3
  • 25
    • 0040399716 scopus 로고    scopus 로고
    • A switching algorithm for design of optimal increasing binary filters over large windows
    • to appear
    • Hirata, N. S. T., Dougherty, E. R., and Barrera, J. A Switching Algorithm for Design of Optimal Increasing Binary Filters Over Large Windows. Pattern Recognition (to appear) (1999).
    • (1999) Pattern Recognition
    • Hirata, N.S.T.1    Dougherty, E.R.2    Barrera, J.3
  • 26
    • 0032679684 scopus 로고    scopus 로고
    • Efficient switching algorithm for designing increasing binary filters
    • Nonlinear Image Processing X San Jose, CA, January E. R. Dougherty and J. T. Astola, Eds.
    • Hirata, N. S. T., Dougherty, E. R., and Barrera, J. Efficient Switching Algorithm for Designing Increasing Binary Filters. In Nonlinear Image Processing X (San Jose, CA, January 1999), E. R. Dougherty and J. T. Astola, Eds., vol. 3646 of Proc. SPIE, pp. 185-196.
    • (1999) Proc. SPIE , vol.3646 , pp. 185-196
    • Hirata, N.S.T.1    Dougherty, E.R.2    Barrera, J.3
  • 28
    • 0032671194 scopus 로고    scopus 로고
    • Optimal range-domain window filters
    • Nonlinear Image Processing X San Jose, CA, January E. R. Dougherty and J. T. Astola, Eds.
    • Hirata Jr., R., Dougherty, E. R., and Barrera, J. Optimal Range-Domain Window Filters. In Nonlinear Image Processing X (San Jose, CA, January 1999), E. R. Dougherty and J. T. Astola, Eds., vol. 3646 of Proc. of SPIE, pp. 38-45.
    • (1999) Proc. of SPIE , vol.3646 , pp. 38-45
    • Hirata R., Jr.1    Dougherty, E.R.2    Barrera, J.3
  • 30
    • 0040399715 scopus 로고
    • PhD thesis, University of Washington
    • Joo, H. Automatic Morphology. PhD thesis, University of Washington, 1991.
    • (1991) Automatic Morphology
    • Joo, H.1
  • 31
    • 18344418714 scopus 로고
    • Pimm1 : An image processing ASIC based on mathematical morphology
    • Rochester, New York, September
    • Klein, J. C., and Peyhard, R. Pimm1 : an image processing ASIC based on Mathematical Morphology. In Proc. of IEEE International ASIC Conference & Exhibit (Rochester, New York, September 1989), pp. 25-28.
    • (1989) Proc. of IEEE International ASIC Conference & Exhibit , pp. 25-28
    • Klein, J.C.1    Peyhard, R.2
  • 32
    • 84985280249 scopus 로고
    • The texture analyser
    • Klein, J. C., and Serra, J. The Texture Analyser. Journal of Microscopy 95, 2 (1972), 343-356.
    • (1972) Journal of Microscopy , vol.95 , Issue.2 , pp. 343-356
    • Klein, J.C.1    Serra, J.2
  • 34
    • 0023400884 scopus 로고
    • Morphological filters: Part I: Their set-theoretic analysis and relations to linear shift-invariant filters
    • August
    • Maragos, P., and Schafer, R. W. Morphological Filters: Part I: Their Set-Theoretic Analysis and Relations to Linear Shift-Invariant Filters. IEEE Trans. Acoust. Speech Signal Process. ASSP-35 (August 1987), 1153-1169.
    • (1987) IEEE Trans. Acoust. Speech Signal Process. , vol.ASSP-35 , pp. 1153-1169
    • Maragos, P.1    Schafer, R.W.2
  • 35
    • 0023400430 scopus 로고
    • Morphological filters: Part II: Their relations to median, order statistic, and stack-filters
    • August
    • Maragos, P., and Schafer, R. W. Morphological Filters: Part II: Their Relations to Median, Order Statistic, and Stack-Filters. IEEE Trans. Acoust. Speech Signal Process. ASSP-35 (August 1987), 1170-1184.
    • (1987) IEEE Trans. Acoust. Speech Signal Process. , vol.ASSP-35 , pp. 1170-1184
    • Maragos, P.1    Schafer, R.W.2
  • 37
    • 0024646150 scopus 로고
    • Mathematical morphology and artificial intelligence: An automatic programming system
    • April
    • Schmitt, M. Mathematical Morphology and Artificial Intelligence: an Automatic Programming System. Signal Processing 16, 16 (April 1989), 389-401.
    • (1989) Signal Processing , vol.16 , Issue.16 , pp. 389-401
    • Schmitt, M.1
  • 38
    • 0039807209 scopus 로고
    • Centre de Morphologie Mathematique, Ecole des Mines de Paris, Fontainebleau
    • Serra, J. Thickenings, Thinnings. Tech. Rep. N-39, Centre de Morphologie Mathematique, Ecole des Mines de Paris, Fontainebleau, 1987.
    • (1987) Thickenings, Thinnings. Tech. Rep. N-39
    • Serra, J.1
  • 40
    • 0021518106 scopus 로고
    • A theory of the learnable
    • Valiant, L. G. A Theory of the Learnable. Communications of the ACM 27, 11 (1984), 1134-1142.
    • (1984) Communications of the ACM , vol.27 , Issue.11 , pp. 1134-1142
    • Valiant, L.G.1
  • 41
    • 0001024505 scopus 로고
    • On the uniform convergence of relative frequencies of events to their probabilities
    • Vapnik, V. N., and Chervonenkis, A. Y. On the Uniform Convergence of Relative Frequencies of Events to Their Probabilities. Theory of Probability and its Applications 16, 2 (1971), 264-280.
    • (1971) Theory of Probability and Its Applications , vol.16 , Issue.2 , pp. 264-280
    • Vapnik, V.N.1    Chervonenkis, A.Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.