메뉴 건너뛰기




Volumn 84, Issue 5, 1996, Pages 720-732

Wavelet processing and optics

Author keywords

[No Author keywords available]

Indexed keywords

DATA PROCESSING; FOURIER TRANSFORMS; IMAGE CODING; IMAGE PROCESSING; INFORMATION ANALYSIS; INFORMATION SCIENCE; SIGNAL PROCESSING; SIGNAL THEORY; WAVELET TRANSFORMS;

EID: 0030150127     PISSN: 00189219     EISSN: None     Source Type: Journal    
DOI: 10.1109/5.488742     Document Type: Article
Times cited : (37)

References (61)
  • 1
    • 0000562670 scopus 로고
    • Decomposition of Hardy functions into square integrable wavelets of constant shape
    • A. Grossman and J. Morlet, "Decomposition of Hardy functions into square integrable wavelets of constant shape," SIAM J. Math., vol. 15, pp. 723-736, 1984.
    • (1984) SIAM J. Math. , vol.15 , pp. 723-736
    • Grossman, A.1    Morlet, J.2
  • 2
    • 34250967631 scopus 로고
    • Zur theorie der orthogonalem funktionen-system
    • A. Harr, "Zur theorie der orthogonalem funktionen-system," Math. Annal., vol. 69, pp. 331-371, 1991.
    • (1991) Math. Annal. , vol.69 , pp. 331-371
    • Harr, A.1
  • 3
    • 0020737631 scopus 로고
    • The Laplacian pyramid as a compact image code
    • P. J. Burt and E. H. Adelson, "The Laplacian pyramid as a compact image code," IEEE Trans. Comm., vol. COM-31, pp. 532-540, 1983.
    • (1983) IEEE Trans. Comm. , vol.31 , pp. 532-540
    • Burt, P.J.1    Adelson, E.H.2
  • 4
    • 0020141432 scopus 로고
    • Design of nonrecursive quadrature mirror filters
    • S. W. Foo and L. F. Turner, "Design of nonrecursive quadrature mirror filters," Proc. IEE, vol. 129, part G, pp. 61-67, 1982.
    • (1982) Proc. IEE , vol.129 , pp. 61-67
    • Foo, S.W.1    Turner, L.F.2
  • 5
    • 84990575058 scopus 로고
    • Orthogonal bases of compactly supported wavelets
    • I. Daubechies, "Orthogonal bases of compactly supported wavelets," Comm. Pure Appl. Math., vol. 41, pp. 909-996, 1988.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 909-996
    • Daubechies, I.1
  • 7
    • 0000293183 scopus 로고
    • Theory of communication
    • D. Gabor, "Theory of communication," J. IEE, vol. 93, pp. 429-457, 1946.
    • (1946) J. IEE , vol.93 , pp. 429-457
    • Gabor, D.1
  • 8
    • 0019008929 scopus 로고
    • Gabor's expansion of a signal into Gaussian elementary signals
    • M. J. Bastiaans, "Gabor's expansion of a signal into Gaussian elementary signals," Proc. IEEE, vol. 68, pp. 538-545, 1980.
    • (1980) Proc. IEEE , vol.68 , pp. 538-545
    • Bastiaans, M.J.1
  • 9
    • 0024921922 scopus 로고
    • Wavelets and dilation equations: A brief introduction
    • G. Strang, "Wavelets and dilation equations: A brief introduction," SIAM Rev., vol. 31, pp. 614-627, 1989.
    • (1989) SIAM Rev. , vol.31 , pp. 614-627
    • Strang, G.1
  • 10
    • 0026922952 scopus 로고
    • Wavelets and filter banks: Theory and design
    • M. Vetterli and C. Herley, "Wavelets and filter banks: Theory and design," IEEE Trans. Sig. Process., vol. 40, pp. 2207-2232, 1992.
    • (1992) IEEE Trans. Sig. Process. , vol.40 , pp. 2207-2232
    • Vetterli, M.1    Herley, C.2
  • 12
    • 0027612334 scopus 로고
    • Diffraction from a wavelet point of view
    • L. Onural, "Diffraction from a wavelet point of view," Opt. Lett., vol. 18, pp. 846-848, 1993.
    • (1993) Opt. Lett. , vol.18 , pp. 846-848
    • Onural, L.1
  • 14
    • 33646918305 scopus 로고
    • Application of Fourier analysis to the visibility of gratinas
    • F. Campbell and J. Robson, "Application of Fourier analysis to the visibility of gratinas," J. Physiol., vol. 197, pp. 437-441, 1966.
    • (1966) J. Physiol. , vol.197 , pp. 437-441
    • Campbell, F.1    Robson, J.2
  • 15
    • 0016424798 scopus 로고
    • Discrimination of simple and complex gratings
    • J. Nachmais and A. Weber, "Discrimination of simple and complex gratings," Vision Res., vol. 15, pp. 217-223, 1975.
    • (1975) Vision Res. , vol.15 , pp. 217-223
    • Nachmais, J.1    Weber, A.2
  • 16
    • 0018332942 scopus 로고
    • Relationship between spatial frequency selectivity and receptive field profile of simple cells
    • B. Andrew and P. Pollen, "Relationship between spatial frequency selectivity and receptive field profile of simple cells," J. Physiol., vol. 287, pp. 167-176, 1979.
    • (1979) J. Physiol. , vol.287 , pp. 167-176
    • Andrew, B.1    Pollen, P.2
  • 17
    • 0022098295 scopus 로고
    • Relationship between spatial frequency and orientation tuning of striate cortex cells
    • M. Webster and R. De Valois, "Relationship between spatial frequency and orientation tuning of striate cortex cells," J. Opt. Soc. Amer. (A), vol. 2, pp. 1124-1132, 1985.
    • (1985) J. Opt. Soc. Amer. (A) , vol.2 , pp. 1124-1132
    • Webster, M.1    De Valois, R.2
  • 19
    • 34250790089 scopus 로고    scopus 로고
    • Wavelet-based signal processina and optics
    • Y. Li, "Wavelet-based signal processina and optics," Proc. SPIE, 1993, vol. 2051, pp. 130-141.
    • Proc. SPIE, 1993 , vol.2051 , pp. 130-141
    • Li, Y.1
  • 21
    • 84975647286 scopus 로고
    • The wavelet transform as a bank of matched-filters
    • H. Szu, Y. Sheng, and J. Chen, "The wavelet transform as a bank of matched-filters," Appl. Opt., vol. 31, pp. 3267-3277, 1992.
    • (1992) Appl. Opt. , vol.31 , pp. 3267-3277
    • Szu, H.1    Sheng, Y.2    Chen, J.3
  • 22
    • 0041468641 scopus 로고
    • Causal analytical wavelet transform
    • H. H. Szu, B. Telfer, and A. W. Lohmann, "Causal analytical wavelet transform," Opt. Eng., vol. 31, pp. 1825-1829, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1825-1829
    • Szu, H.H.1    Telfer, B.2    Lohmann, A.W.3
  • 23
    • 0001198254 scopus 로고
    • Optical wavelet transform
    • Y. Sheng, D. Roberge, and H. Szu, "Optical wavelet transform," Opt. Eng., vol. 31, pp. 1840-1845, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1840-1845
    • Sheng, Y.1    Roberge, D.2    Szu, H.3
  • 24
    • 84975583903 scopus 로고
    • Optical realization of wavelet transform for a one-dimensional signal, Opt
    • Y. Zhang et al., "Optical realization of wavelet transform for a one-dimensional signal," Opt. Lett., vol. 17, pp. 210-212, 1992.
    • (1992) Lett. , vol.17 , pp. 210-212
    • Zhang, Y.1
  • 25
    • 0004151090 scopus 로고
    • Coherent optical processing of Gabor and wavelet expansions of one- And two-dimensional signals
    • Y. Li and Y. Zhang, "Coherent optical processing of Gabor and wavelet expansions of one- and two-dimensional signals," Opt. Eng., vol. 31, pp. 1865-1892, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1865-1892
    • Li, Y.1    Zhang, Y.2
  • 26
  • 27
    • 0000785941 scopus 로고
    • Parallel discrete and continuous wavelet transforms
    • H. J. Caulfield and H. H. Szu, "Parallel discrete and continuous wavelet transforms," Opt. Eng., vol. 31, pp. 1835-1839, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1835-1839
    • Caulfield, H.J.1    Szu, H.H.2
  • 28
    • 0001122690 scopus 로고
    • 4 implementation of two-dimensional wavelet transform
    • 4 implementation of two-dimensional wavelet transform," Opt. Eng., vol. 31, pp. 1859-1964, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1859-1964
    • Sheng, Y.1    Lu, T.2    Roberge, D.3    Caufield, J.4
  • 29
    • 0041468642 scopus 로고
    • Wavelet signal representations with important advantages
    • M. O. Freeman, "Wavelet signal representations with important advantages," Opt. and Photon. News, Aug. 1993.
    • (1993) Opt. and Photon. News, Aug.
    • Freeman, M.O.1
  • 30
    • 0027692467 scopus 로고
    • Optical realization of the wavelet transform for two-dimensional objects
    • D. Mendlovic and N. Konforti, "Optical realization of the wavelet transform for two-dimensional objects," Appl. Opt., vol. 32, pp. 6542-6546, 1993.
    • (1993) Appl. Opt. , vol.32 , pp. 6542-6546
    • Mendlovic, D.1    Konforti, N.2
  • 31
    • 0001198255 scopus 로고
    • Optical Haar wavelet transform, Opt
    • T. Burns et al., "Optical Haar wavelet transform," Opt. Eng., vol. 31, pp. 1852-1858, 1992.
    • (1992) Eng. , vol.31 , pp. 1852-1858
    • Burns, T.1
  • 32
    • 33646951008 scopus 로고
    • Optical wavelet processor for target detection, in
    • Opt. Soc. Amer., Salt Lake City, UT, Tech. Dig. Series, paper OWB5-3.
    • T. H. Chao, A. Yacoubian, B. Lau, and W. J. Miceli, "Optical wavelet processor for target detection," in Topical Meet, on Opt. Computing, Opt. Soc. Amer., Salt Lake City, UT, Tech. Dig. Series, vol. 10, 1995, paper OWB5-3.
    • (1995) Topical Meet, on Opt. Computing , vol.10
    • Chao, T.H.1    Yacoubian, A.2    Lau, B.3    Miceli, W.J.4
  • 34
    • 0028493002 scopus 로고
    • Optoelectronic wavelet processors based on Smart interferometry
    • Y. Zhang, E. Kanterakis, A. Katz, and J. M. Wang, "Optoelectronic wavelet processors based on Smart interferometry," Appl. Opt., vol. 33, pp. 5279-5286, 1994.
    • (1994) Appl. Opt. , vol.33 , pp. 5279-5286
    • Zhang, Y.1    Kanterakis, E.2    Katz, A.3    Wang, J.M.4
  • 35
    • 84975566452 scopus 로고
    • Joint transform correlator that uses wavelet transforms
    • X. J. Lu, A. Katz, E. G. Kanterakis, and N. P. Caviris, "Joint transform correlator that uses wavelet transforms," Opt. Lett., vol. 17, pp. 1700-1702, 1992.
    • (1992) Opt. Lett. , vol.17 , pp. 1700-1702
    • Lu, X.J.1    Katz, A.2    Kanterakis, E.G.3    Caviris, N.P.4
  • 36
    • 0029209462 scopus 로고
    • Joint wavelet transform correlator for image feature extraction
    • W. Wang, G. Jin, Y. Yan, and M. Wu, "Joint wavelet transform correlator for image feature extraction," Appl. Opt., vol. 34, pp. 370-376, 1995.
    • (1995) Appl. Opt. , vol.34 , pp. 370-376
    • Wang, W.1    Jin, G.2    Yan, Y.3    Wu M4
  • 37
    • 0024904699 scopus 로고
    • Multifrequency channel decompositions of images and wavelet models
    • S. Mallat, "Multifrequency channel decompositions of images and wavelet models," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, pp. 2091-2110, 1989.
    • (1989) IEEE Trans. Acoust., Speech, Signal Process. , vol.37 , pp. 2091-2110
    • Mallat, S.1
  • 38
    • 0001198253 scopus 로고
    • Optical Harr wavelet transforms of binary images
    • X. Yang, H. Szu, Y. Sheng, and H. J. Caufield, "Optical Harr wavelet transforms of binary images," Opt. Eng., vol. 31, pp. 1846-1851, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1846-1851
    • Yang, X.1    Szu, H.2    Sheng, Y.3    Caufield, H.J.4
  • 39
    • 0028492388 scopus 로고
    • Two-dimensional optical wavelet transform in space domain and its performance analysis
    • D. X. Wang, J. W. Tai, and Y. X. Zhang, "Two-dimensional optical wavelet transform in space domain and its performance analysis," Appl. Opt., vol. 33, pp. 5271-5274, 1994.
    • (1994) Appl. Opt. , vol.33 , pp. 5271-5274
    • Wang, D.X.1    Tai, J.W.2    Zhang, Y.X.3
  • 40
    • 0000928638 scopus 로고
    • New wavelet transform normalization to remove frequency bias
    • B. Telfer and H. H. Szu, "New wavelet transform normalization to remove frequency bias," Opt. Eng., vol. 31, pp. 1830-1834, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1830-1834
    • Telfer, B.1    Szu, H.H.2
  • 41
    • 0028491346 scopus 로고
    • Short-time Fourier transform and wavelet transform with Fourier-domain processing
    • F. T. S. Yu and G. Lu, "Short-time Fourier transform and wavelet transform with Fourier-domain processing," Appl. Opt., vol. 33, pp. 5262-5270, 1994.
    • (1994) Appl. Opt. , vol.33 , pp. 5262-5270
    • Yu S, F.T.1    Lu, G.2
  • 42
    • 0024700097 scopus 로고
    • Theory for multiresolution signal decomposition: The wavelet representation
    • S. G. Mallat, "Theory for multiresolution signal decomposition: The wavelet representation," IEEE Trans. Patt. Anal. Mach. Intell., vol. 11, pp. 674-693, 1989.
    • (1989) IEEE Trans. Patt. Anal. Mach. Intell. , vol.11 , pp. 674-693
    • Mallat, S.G.1
  • 44
    • 0023903234 scopus 로고
    • Parallel optical pyramidal image processing
    • G. Eichmann, A. Kostrzcwski, B. Ha, and Y. Li, "Parallel optical pyramidal image processing," Opt. Lett., vol. 13, pp. 431-433, 1988.
    • (1988) Opt. Lett. , vol.13 , pp. 431-433
    • Eichmann, G.1    Kostrzcwski, A.2    Ha, B.3    Li, Y.4
  • 45
    • 0028479016 scopus 로고
    • Image wavelet transforms implemented by discrete wavelet chips
    • H. H. Szu, C. C. Hsu, P. A. Thaker, and M. E. Zaghloul, "Image wavelet transforms implemented by discrete wavelet chips," Opt. Eng., vol. 33, pp. 2310-2325, 1994.
    • (1994) Opt. Eng. , vol.33 , pp. 2310-2325
    • Szu, H.H.1    Hsu, C.C.2    Thaker, P.A.3    Zaghloul, M.E.4
  • 46
    • 0037625964 scopus 로고    scopus 로고
    • Integrated wavelet and neural processor for automatic target recognition, in
    • T. H. Chao, E. Hegblom, and B. Lau, "Integrated wavelet and neural processor for automatic target recognition," in Proc. SPIE, 1994, vol. 2237, pp. 268-274.
    • Proc. SPIE, 1994 , vol.2237 , pp. 268-274
    • Chao, T.H.1    Hegblom, E.2    Lau, B.3
  • 47
    • 0026686048 scopus 로고
    • Entropy-based algorithms for best basis selection
    • R. R. Coifman and M. V. Wickerhauser, "Entropy-based algorithms for best basis selection," IEEE Trans. Inform. Theory, vol. 38, pp. 713-718, 1992.
    • (1992) IEEE Trans. Inform. Theory , vol.38 , pp. 713-718
    • Coifman, R.R.1    Wickerhauser, M.V.2
  • 48
    • 0027842081 scopus 로고
    • Matching pursuits with time-frequency dictionaries
    • S. G. Mallat and Z. Zhang, "Matching pursuits with time-frequency dictionaries." IEEE Trans. Signal Process., vol. 41, pp. 3397-3415, 1993.
    • (1993) IEEE Trans. Signal Process. , vol.41 , pp. 3397-3415
    • Mallat, S.G.1    Zhang, Z.2
  • 49
    • 0344693442 scopus 로고    scopus 로고
    • Optical implementation of image representation using matching pursuit, in
    • T. H. Chao, B. Lau, and W. J. Meceli, "Optical implementation of image representation using matching pursuit," in Proc. SPIE, 1994, vol. 2242, pp. 382-388.
    • Proc. SPIE, 1994 , vol.2242 , pp. 382-388
    • Chao, T.H.1    Lau, B.2    Meceli, W.J.3
  • 50
    • 0001379053 scopus 로고
    • Neural network adaptive wavelets for signal representation and classification
    • H. H. Szu, B. Telfer, and S. Kadambe, "Neural network adaptive wavelets for signal representation and classification," Opt. Eng., vol. 31, pp. 1907-1916, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1907-1916
    • Szu, H.H.1    Telfer, B.2    Kadambe, S.3
  • 51
    • 0028479015 scopus 로고
    • Mathematics of adaptive wavelet transforms: Relating continuous with discrete transforms
    • H. H. Szu and B. A. Telfer, "Mathematics of adaptive wavelet transforms: Relating continuous with discrete transforms," Opt. Eng., vol. 33, pp. 2111-2124, 1994.
    • (1994) Opt. Eng. , vol.33 , pp. 2111-2124
    • Szu, H.H.1    Telfer, B.A.2
  • 52
    • 0029464124 scopus 로고    scopus 로고
    • Continuous scale-invariant optical composite wavelet matched-filters with adaptive wavelets
    • paper 42.
    • D. Roberge and Y. Sheng, "Continuous scale-invariant optical composite wavelet matched-filters with adaptive wavelets," Proc. SPIE, 1995, vol. 2491, paper 42.
    • Proc. SPIE, 1995 , vol.2491
    • Roberge, D.1    Sheng, Y.2
  • 53
    • 0001219606 scopus 로고
    • Wavelet and Gabor transforms for detection
    • D. P. Casasant, J. S. Smokelin, and A. Ye, "Wavelet and Gabor transforms for detection," Opt. Eng., vol. 31, pp. 1893-1898, 1992.
    • (1992) Opt. Eng. , vol.31 , pp. 1893-1898
    • Casasant, D.P.1    Smokelin, J.S.2    Ye, A.3
  • 54
    • 0027549857 scopus 로고
    • Optical wavelet matched-filters for shift-invariant pattern recognition
    • Y. Sheng, D. Roberge, H. Szu, and T. Lu, "Optical wavelet matched-filters for shift-invariant pattern recognition," Opt. Lett., vol. 18, pp. 299-301, 1993.
    • (1993) Opt. Lett. , vol.18 , pp. 299-301
    • Sheng, Y.1    Roberge, D.2    Szu, H.3    Lu, T.4
  • 55
    • 0028492236 scopus 로고
    • Optical wavelet matched-filter
    • D. Roberge and Y. Sheng, "Optical wavelet matched-filter," Appl. Opt., vol. 33, pp. 5287-5293, 1994.
    • (1994) Appl. Opt. , vol.33 , pp. 5287-5293
    • Roberge, D.1    Sheng, Y.2
  • 56
    • 0027608511 scopus 로고
    • Wavelet matched-filtering using a photorefractive crystal
    • M. Wen, S. Yin, P. Purwosumarto, and F. T. S. Yu, "Wavelet matched-filtering using a photorefractive crystal," Opt. Comm., vol. 99, pp. 325-330, 1993.
    • (1993) Opt. Comm. , vol.99 , pp. 325-330
    • Wen, M.1    Yin, S.2    Purwosumarto, P.3    Yu S, F.T.4
  • 57
    • 0028479113 scopus 로고
    • Optical composite wavelet matched-filters
    • D. Roberge and Y. Sheng, "Optical composite wavelet matched-filters," Opt. Eng., vol. 33, pp. 2290-2295, 1994.
    • (1994) Opt. Eng. , vol.33 , pp. 2290-2295
    • Roberge, D.1    Sheng, Y.2
  • 58
    • 84975562588 scopus 로고
    • Inclusion of the filter modulation in the synthetic-discriminant function filters
    • D. A. Jared and D. J. Ennis, "Inclusion of the filter modulation in the synthetic-discriminant function filters," Appl. Opt., vol. 28, pp. 233-239, 1989.
    • (1989) Appl. Opt. , vol.28 , pp. 233-239
    • Jared, D.A.1    Ennis, D.J.2
  • 59
    • 0029464124 scopus 로고    scopus 로고
    • Continuous scale-invariant optical composite wavelet matched-filters with adaptive wavelets, in
    • paper 42.
    • D. Roberge and Y. Sheng, "Continuous scale-invariant optical composite wavelet matched-filters with adaptive wavelets," in Proc. SPIE. 1995, vol. 2491, paper 42.
    • Proc. SPIE. 1995 , vol.2491
    • Roberge, D.1    Sheng, Y.2
  • 60
    • 0000303411 scopus 로고
    • Neural network and wavelet transform for scale-invariant data processing
    • H. H. Szu, X.-Y. Yang, B. A. Telfer, and Y. Sheng, "Neural network and wavelet transform for scale-invariant data processing." Phys^Rev. E, vol. 48, pp. 1497-1501, 1993.
    • (1993) Phys^Rev. E , vol.48 , pp. 1497-1501
    • Szu, H.H.1    Yang, X.-Y.2    Telfer, B.A.3    Sheng, Y.4
  • 61
    • 33646907648 scopus 로고
    • Invariant analog wavelets
    • H. H. Szu and H. J. Caulfield, "Invariant analog wavelets," Appl. Opt., vol. 33, pp. 308-310, 1994.
    • (1994) Appl. Opt. , vol.33 , pp. 308-310
    • Szu, H.H.1    Caulfield, H.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.