Анализ изображений и видео 1, осень 2014: Обработка изображений

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  • 1. 2: 1 nvassilieva@hp.comHP Labs Russia2 2013, Computer Science Center

2. Image Processing 2 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 3. : HDR-3 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 4. : , 4 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 5. : 5 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 6. , , 6 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 7. ( ): () (x,y)=r x y( , )g x y( , )7 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.Slide adopted from Fei-Fei Lif R RM : 2f R R : 2f (x, y) :f : R2 R3( , )( , )b x yf x y 8. 8 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 9. , = , ,f(x,y)= , ,9 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 10. 0 20 40 60 80 100 120 140 160 180 20030025020015010050010 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 11. 1-D 0 50 100 150 200 2502202001801601401201008060402011 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 12. = : , ( )12 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 13. 13 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 14. - 14 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 15. 15 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.Slide credit: A. Konushin 16. - ( )16 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.Slide credit: A. Konushin 17. , , /, ., . . : , , , 17 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 18. = + +f(x) F1*g1(x) F2*g2(x) F3*g3(x) , f(x), Fi 18 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 19. f(x): :19 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.g(x,u) 20. : ! (, FFT)20 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 21. - - () - - -21 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 22. 22 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 23. , : 23 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 24. : g(x, y, u, v) :24 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.10.50-0.5-1 25. -u=-2, v=2 u=-1, v=2 u=0, v=2 u=1, v=2 u=2, v=2 -: |F(u,v)| F(u,v), (u,v) , http://www1.idc.ac.il/toky/imageproc-10/lectures/fft_2d.pptxu=-2, v=1 u=-1, v=1 u=0, v=1 u=1, v=1 u=2, v=1u=-2, v=0 u=-1, v=0 u=0, v=0 u=1, v=0 u=2, v=0u=-2, v=-1 u=-1, v=-1 u=0, v=-1 u=1, v=-1 u=2, v=-1u=-2, v=-2 u=-1, v=-2 u=0, v=-2 u=1, v=-2 u=2, v=-225 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.UV 26. - , .. f(x,y) (-1)x+y F(0,0) (M/2, N/2) F(0,0) . - .26 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 27. - f(x,y) F(u,v)27 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 28. 28 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 29. 29 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 30. , 30 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 31. :f(x,y) g(x,y) , T f, (x,y)31 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 32. 32 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 33. :f(x,y) g(x,y) , T f, (x,y) 11: T s = T(r),s,r f(x,y), g(x,y) (x,y)33 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 34. 34 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 35. 35 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 36. :s = L 1 r :s r r L( ) ( 1)min r r( )= :max mins = c log(1+ r) (-):s = cr36 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 37. - 37 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 38. 38 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 39. 35003000250020001500100050000 50 100 150 200 25035003000250020001500100050000 50 100 150 200 25039 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 40. 250020001500100050000 50 100 150 200 25020001500100050000 50 100 150 200 25040 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 41. , () p r n( ) k, 0,1,.., 1k L= = nkks T r p r n = =r k( ) ( )= = =iik k r iin0 041 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 42. 35003000250020001500100050035003000250020001500100050042 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.20001500100050000 50 100 150 200 25000 50 100 150 200 25000 50 100 150 200 25020001500100050000 50 100 150 200 250 43. 250020001500100050000 50 100 150 200 25020001500100050043 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.20001800160014001200100080060040020000 50 100 150 200 25000 50 100 150 200 25020001800160014001200100080060040020000 50 100 150 200 250 44. (x,y) I(x,y)44 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 45. 1. T02. T0: G1 G2 >T0 T03. 1 and 2 G1 and G24. T1 = 0.5 (1 + 2)5. | Ti - Ti+1|< Tth45 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 46. 46 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 47. ( ) :f w , g f*w: :f*w = w*f :f*(w1*w2)=(f*w1)*w2 :f*(w1+w2=f*w1 + f*w2 kf*w = f*kw = k(f*w)47 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 48. g = f * h g = f himplies impliesG = F H G = F * HSlide: http://www1.idc.ac.il/toky/imageproc-10/lectures/fft_2d.pptx48 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 49. Problem inFrequencySpaceFourierTransformOriginalProblemSolution inFrequencySpaceSolution ofOriginalProblemRelativelyeasy solutionDifficultsolution49 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.InverseFourierTransformSlide: http://www1.idc.ac.il/toky/imageproc-10/lectures/fft_2d.pptx 50. , ( )50 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 51. 51 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.Slide credit: Fei-Fei Li 52. 52 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.Slide credit: Fei-Fei Li 53. 53 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.Slide credit: Fei-Fei Li 54. 54 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.Slide credit: Fei-Fei Li 55. 55 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 56. : Sigma =1.4Size = 5Sigma =2.8Size = 1056 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 57. 57 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.: . 58. 58 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.: . 59. Mexican hat59 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 60. 60 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 61. - F(0,0)61 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 62. 62 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice. 63. , , (,, , ) , 63 Copyright 2012 Hewlett-Packard Development Company, L.P. The information contained herein is subject to change without notice.

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