메뉴 건너뛰기




Volumn 216, Issue 1, 2010, Pages 1-17

Computation strategies of orthogonal image moments: A comparative study

Author keywords

Computer vision; Fast algorithms; Feature extraction; Moment calculation; Orthogonal moments; Pattern recognition

Indexed keywords

COMPARATIVE STUDIES; EFFICIENT COMPUTATION; FAST ALGORITHMS; HYBRID METHOD; IMAGE MOMENTS; MOMENT CALCULATION; ORTHOGONAL MOMENTS; REFERENCE POINTS; TEST IMAGES;

EID: 76749135753     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.01.051     Document Type: Review
Times cited : (27)

References (60)
  • 1
    • 0033892001 scopus 로고    scopus 로고
    • Zernike moment-based image shape analysis and its application
    • Zhenjiang M. Zernike moment-based image shape analysis and its application. Pattern Recognition Letters 21 2 (2000) 169-177
    • (2000) Pattern Recognition Letters , vol.21 , Issue.2 , pp. 169-177
    • Zhenjiang, M.1
  • 3
    • 0442327388 scopus 로고    scopus 로고
    • Invariant texture retrieval using modified Zernike moments
    • Sim D.G., Kim H.K., and Park R.H. Invariant texture retrieval using modified Zernike moments. Image and Vision Computing 22 4 (2004) 331-342
    • (2004) Image and Vision Computing , vol.22 , Issue.4 , pp. 331-342
    • Sim, D.G.1    Kim, H.K.2    Park, R.H.3
  • 4
    • 33750348488 scopus 로고    scopus 로고
    • Image reconstruction from limited range projections using orthogonal moments
    • Shu H.Z., Zhou J., Han G.N., Luo L.M., and Coatrieux J.L. Image reconstruction from limited range projections using orthogonal moments. Pattern Recognition 40 2 (2007) 670-680
    • (2007) Pattern Recognition , vol.40 , Issue.2 , pp. 670-680
    • Shu, H.Z.1    Zhou, J.2    Han, G.N.3    Luo, L.M.4    Coatrieux, J.L.5
  • 5
    • 70449715224 scopus 로고    scopus 로고
    • Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments
    • Dai X.B., Shu H.Z., Luo L.M., Han G.N., and Coatrieux J.L. Reconstruction of tomographic images from limited range projections using discrete Radon transform and Tchebichef moments. Pattern Recognition 43 3 (2010) 1152-1164
    • (2010) Pattern Recognition , vol.43 , Issue.3 , pp. 1152-1164
    • Dai, X.B.1    Shu, H.Z.2    Luo, L.M.3    Han, G.N.4    Coatrieux, J.L.5
  • 6
    • 0037058275 scopus 로고    scopus 로고
    • Analysis for the reconstruction of a noisy signal based on orthogonal moments
    • Yin J., Rodolfo De Pierro A., and Wei M. Analysis for the reconstruction of a noisy signal based on orthogonal moments. Applied Mathematics and Computation 132 2-3 (2002) 249-263
    • (2002) Applied Mathematics and Computation , vol.132 , Issue.2-3 , pp. 249-263
    • Yin, J.1    Rodolfo De Pierro, A.2    Wei, M.3
  • 7
    • 60849089606 scopus 로고    scopus 로고
    • A robust image watermarking algorithm using SVR detection
    • Wang X.Y., Xu Z.H., and Yang H.Y. A robust image watermarking algorithm using SVR detection. Expert Systems With Applications 36 5 (2009) 9056-9064
    • (2009) Expert Systems With Applications , vol.36 , Issue.5 , pp. 9056-9064
    • Wang, X.Y.1    Xu, Z.H.2    Yang, H.Y.3
  • 8
    • 64549118174 scopus 로고    scopus 로고
    • A local Tchebichef moments-based robust image watermarking
    • Deng C., Gao X., Li X., and Tao D. A local Tchebichef moments-based robust image watermarking. Signal Processing 89 8 (2009) 1531-1539
    • (2009) Signal Processing , vol.89 , Issue.8 , pp. 1531-1539
    • Deng, C.1    Gao, X.2    Li, X.3    Tao, D.4
  • 9
    • 84937655864 scopus 로고
    • Visual pattern recognition by moment invariants
    • Hu M.K. Visual pattern recognition by moment invariants. IRE Transactions on Information Theory 8 (1962) 179-187
    • (1962) IRE Transactions on Information Theory , vol.8 , pp. 179-187
    • Hu, M.K.1
  • 14
    • 54249092336 scopus 로고    scopus 로고
    • GA-based optimal selection of PZMI features for face recognition
    • Kanan H.R., and Faez K. GA-based optimal selection of PZMI features for face recognition. Applied Mathematics and Computation 205 2 (2008) 706-715
    • (2008) Applied Mathematics and Computation , vol.205 , Issue.2 , pp. 706-715
    • Kanan, H.R.1    Faez, K.2
  • 15
    • 57949117241 scopus 로고    scopus 로고
    • Aircraft recognition in infrared image using wavelet moment invariants
    • Feng Z., Shang-qian L., Da-bao W., and Wie G. Aircraft recognition in infrared image using wavelet moment invariants. Image and Vision Computing 27 4 (2009) 313-318
    • (2009) Image and Vision Computing , vol.27 , Issue.4 , pp. 313-318
    • Feng, Z.1    Shang-qian, L.2    Da-bao, W.3    Wie, G.4
  • 16
    • 44949252123 scopus 로고    scopus 로고
    • A robust technique based on invariant moments - ANFIS for recognition of human parasite eggs in microscopic images
    • Dogantekin E., Yilmaz M., Dogantekin A., Avci E., and Sengur A. A robust technique based on invariant moments - ANFIS for recognition of human parasite eggs in microscopic images. Expert Systems With Applications 36 3 (2009) 728-738
    • (2009) Expert Systems With Applications , vol.36 , Issue.3 , pp. 728-738
    • Dogantekin, E.1    Yilmaz, M.2    Dogantekin, A.3    Avci, E.4    Sengur, A.5
  • 17
    • 0019047147 scopus 로고
    • Image analysis via the general theory of moments
    • Teague M. Image analysis via the general theory of moments. Journal of Optical Society of America 70 (1980) 920-930
    • (1980) Journal of Optical Society of America , vol.70 , pp. 920-930
    • Teague, M.1
  • 18
    • 33847726689 scopus 로고    scopus 로고
    • Accurate computation of Zernike moments in polar coordinates
    • Xin Y., Pawlak M., and Liao S. Accurate computation of Zernike moments in polar coordinates. IEEE Transactions on Image Processing 16 2 (2007) 581-587
    • (2007) IEEE Transactions on Image Processing , vol.16 , Issue.2 , pp. 581-587
    • Xin, Y.1    Pawlak, M.2    Liao, S.3
  • 19
    • 34047131326 scopus 로고    scopus 로고
    • On the computational aspects of Zernike moments
    • Wee C.Y., and Paramesran R. On the computational aspects of Zernike moments. Image and Vision Computing 25 6 (2007) 967-980
    • (2007) Image and Vision Computing , vol.25 , Issue.6 , pp. 967-980
    • Wee, C.Y.1    Paramesran, R.2
  • 23
    • 33750994308 scopus 로고    scopus 로고
    • Image analysis by discrete orthogonal Racah moments
    • Zhu H., Shu H., Liang J., Luo L., and Coatrieux J.L. Image analysis by discrete orthogonal Racah moments. Signal Processing 87 4 (2007) 687-708
    • (2007) Signal Processing , vol.87 , Issue.4 , pp. 687-708
    • Zhu, H.1    Shu, H.2    Liang, J.3    Luo, L.4    Coatrieux, J.L.5
  • 24
    • 0000301939 scopus 로고
    • On the mathematical properties of the Zernike polynomials
    • Kintner E.C. On the mathematical properties of the Zernike polynomials. Optica Acta 23 8 (1976) 679-680
    • (1976) Optica Acta , vol.23 , Issue.8 , pp. 679-680
    • Kintner, E.C.1
  • 25
    • 36749031227 scopus 로고
    • A recurrence relation for calculating the Zernike polynomials
    • Kintner E.C. A recurrence relation for calculating the Zernike polynomials. Optica Acta 23 6 (1976) 499-500
    • (1976) Optica Acta , vol.23 , Issue.6 , pp. 499-500
    • Kintner, E.C.1
  • 26
    • 84975534731 scopus 로고
    • Algorithm for computation of Zernike polynomials expansion coefficients
    • Prata A., and Rusch W.V.T. Algorithm for computation of Zernike polynomials expansion coefficients. Applied Optics 28 (1989) 749-754
    • (1989) Applied Optics , vol.28 , pp. 749-754
    • Prata, A.1    Rusch, W.V.T.2
  • 27
    • 0029537130 scopus 로고
    • Fast computation of Legendre and Zernike moments
    • Mukundan R., and Ramakrishnan K.R. Fast computation of Legendre and Zernike moments. Pattern Recognition 28 9 (1995) 1433-1442
    • (1995) Pattern Recognition , vol.28 , Issue.9 , pp. 1433-1442
    • Mukundan, R.1    Ramakrishnan, K.R.2
  • 28
  • 29
    • 0034135216 scopus 로고    scopus 로고
    • A new fast method for computing Legendre moments
    • Shu H.Z., Luo L.M., Yu W.X., and Fu Y. A new fast method for computing Legendre moments. Pattern Recognition 33 2 (2000) 341-348
    • (2000) Pattern Recognition , vol.33 , Issue.2 , pp. 341-348
    • Shu, H.Z.1    Luo, L.M.2    Yu, W.X.3    Fu, Y.4
  • 30
    • 0036887671 scopus 로고    scopus 로고
    • A novel algorithm for fast computation of Zernike moments
    • Gu J., Shu H.Z., Toumoulin C., and Luo L.M. A novel algorithm for fast computation of Zernike moments. Pattern Recognition 35 12 (2002) 2905-2911
    • (2002) Pattern Recognition , vol.35 , Issue.12 , pp. 2905-2911
    • Gu, J.1    Shu, H.Z.2    Toumoulin, C.3    Luo, L.M.4
  • 31
    • 0036568171 scopus 로고    scopus 로고
    • Two new algorithms for efficient computation of Legendre moments
    • Zhou J.D., Shu H.Z., Luo L.M., and Yu W.X. Two new algorithms for efficient computation of Legendre moments. Pattern Recognition 35 5 (2002) 1143-1152
    • (2002) Pattern Recognition , vol.35 , Issue.5 , pp. 1143-1152
    • Zhou, J.D.1    Shu, H.Z.2    Luo, L.M.3    Yu, W.X.4
  • 32
    • 0036522755 scopus 로고    scopus 로고
    • A comparative analysis of algorithms for fast computation of Zernike moments
    • Chong C.W., Raveendran P., and Mukundan R. A comparative analysis of algorithms for fast computation of Zernike moments. Pattern Recognition 36 3 (2003) 731-742
    • (2003) Pattern Recognition , vol.36 , Issue.3 , pp. 731-742
    • Chong, C.W.1    Raveendran, P.2    Mukundan, R.3
  • 33
    • 1642566061 scopus 로고    scopus 로고
    • New computational methods for full and subset Zernike moments
    • Chong C.W., Raveendran P., and Takeda F. New computational methods for full and subset Zernike moments. Information Sciences 159 3 (2004) 203-220
    • (2004) Information Sciences , vol.159 , Issue.3 , pp. 203-220
    • Chong, C.W.1    Raveendran, P.2    Takeda, F.3
  • 36
  • 37
  • 39
    • 39149129952 scopus 로고    scopus 로고
    • Efficient and accurate computation of geometric moments on gray-scale images
    • Papakostas G.A., Karakasis E.G., and Koulouriotis D.E. Efficient and accurate computation of geometric moments on gray-scale images. Pattern Recognition 41 6 (2008) 1895-1904
    • (2008) Pattern Recognition , vol.41 , Issue.6 , pp. 1895-1904
    • Papakostas, G.A.1    Karakasis, E.G.2    Koulouriotis, D.E.3
  • 40
    • 34249056603 scopus 로고    scopus 로고
    • Exact and fast computation of geometric moments for gray level images
    • Hosny K.M. Exact and fast computation of geometric moments for gray level images. Applied Mathematics and Computation 189 2 (2007) 1214-1222
    • (2007) Applied Mathematics and Computation , vol.189 , Issue.2 , pp. 1214-1222
    • Hosny, K.M.1
  • 41
    • 3843108000 scopus 로고    scopus 로고
    • Some computational aspects of discrete orthonormal moments
    • Mukundan R. Some computational aspects of discrete orthonormal moments. IEEE Transactions on Image Processing 13 8 (2004) 1055-1059
    • (2004) IEEE Transactions on Image Processing , vol.13 , Issue.8 , pp. 1055-1059
    • Mukundan, R.1
  • 43
    • 33750359680 scopus 로고    scopus 로고
    • A numerical recipe for accurate image reconstruction from discrete orthogonal moments
    • Bayraktar B., Bernas T., Robinson P., and Rajwa B. A numerical recipe for accurate image reconstruction from discrete orthogonal moments. Pattern Recognition 40 2 (2007) 659-669
    • (2007) Pattern Recognition , vol.40 , Issue.2 , pp. 659-669
    • Bayraktar, B.1    Bernas, T.2    Robinson, P.3    Rajwa, B.4
  • 46
  • 48
    • 0242657966 scopus 로고    scopus 로고
    • Translation and scale invariants of Legendre moments
    • Chong C.W., Raveendran P., and Mukundan R. Translation and scale invariants of Legendre moments. Pattern Recognition 37 1 (2004) 119-129
    • (2004) Pattern Recognition , vol.37 , Issue.1 , pp. 119-129
    • Chong, C.W.1    Raveendran, P.2    Mukundan, R.3
  • 49
    • 34247603041 scopus 로고    scopus 로고
    • Translation and scale invariants of Tchebichef moments
    • Zhu H., Shu H., Xia T., Luo L., and Coatrieux J.L. Translation and scale invariants of Tchebichef moments. Pattern Recognition 40 9 (2007) 2530-2542
    • (2007) Pattern Recognition , vol.40 , Issue.9 , pp. 2530-2542
    • Zhu, H.1    Shu, H.2    Xia, T.3    Luo, L.4    Coatrieux, J.L.5
  • 51
    • 33746787273 scopus 로고    scopus 로고
    • Efficient computation of radial moment functions using symmetrical property
    • Chong C.W., and Raveendran P. Efficient computation of radial moment functions using symmetrical property. Pattern Recognition 39 11 (2006) 2036-2046
    • (2006) Pattern Recognition , vol.39 , Issue.11 , pp. 2036-2046
    • Chong, C.W.1    Raveendran, P.2
  • 52
    • 34548747475 scopus 로고    scopus 로고
    • A fast 4x4 forward discrete Tchebichef transform algorithm
    • Nakagaki K., and Mukundan R. A fast 4x4 forward discrete Tchebichef transform algorithm. IEEE Signal Processing Letters 14 10 (2007) 684-687
    • (2007) IEEE Signal Processing Letters , vol.14 , Issue.10 , pp. 684-687
    • Nakagaki, K.1    Mukundan, R.2
  • 53
    • 35448997297 scopus 로고    scopus 로고
    • Image reconstruction using various discrete orthogonal polynomials in comparison with DCT
    • See K.W., Loke K.S., Lee P.A., and Loe K.F. Image reconstruction using various discrete orthogonal polynomials in comparison with DCT. Applied Mathematics and Computation 193 2 (2007) 346-359
    • (2007) Applied Mathematics and Computation , vol.193 , Issue.2 , pp. 346-359
    • See, K.W.1    Loke, K.S.2    Lee, P.A.3    Loe, K.F.4
  • 54
    • 0003930922 scopus 로고
    • Digital compression and coding of continuous-tone still images: Requirements and guidelines,
    • ISO/IEC 10918-1, February
    • ISO/IEC 10918-1, Digital compression and coding of continuous-tone still images: requirements and guidelines, February, 1994.
    • (1994)
  • 56
    • 76749127717 scopus 로고    scopus 로고
    • Efficient 2-D DCT computation from an image representation point of view
    • InTech, ISBN 978-3-902613-44-8
    • G.A. Papakostas, D.E. Koulouriotis, E.G. Karakasis, Efficient 2-D DCT computation from an image representation point of view, in Image Processing, InTech, ISBN 978-3-902613-44-8, 2009.
    • (2009) Image Processing
    • Papakostas, G.A.1    Koulouriotis, D.E.2    Karakasis, E.G.3
  • 57
    • 68949164783 scopus 로고    scopus 로고
    • Novel moment invariants for improved classification performance in computer vision applications
    • Papakostas G.A., Karakasis E.G., and Koulouriotis D.E. Novel moment invariants for improved classification performance in computer vision applications. Pattern Recognition 43 1 (2010) 58-68
    • (2010) Pattern Recognition , vol.43 , Issue.1 , pp. 58-68
    • Papakostas, G.A.1    Karakasis, E.G.2    Koulouriotis, D.E.3
  • 58
    • 70449707594 scopus 로고    scopus 로고
    • Accurate and speedy computation of image Legendre moments for computer vision applications
    • Papakostas G.A., Karakasis E.G., and Koulouriotis D.E. Accurate and speedy computation of image Legendre moments for computer vision applications. Image and Vision Computing 28 3 (2010) 414-423
    • (2010) Image and Vision Computing , vol.28 , Issue.3 , pp. 414-423
    • Papakostas, G.A.1    Karakasis, E.G.2    Koulouriotis, D.E.3
  • 59
    • 67849097158 scopus 로고    scopus 로고
    • A unified methodology for efficient computation of discrete orthogonal image moments
    • Papakostas G.A., Koulouriotis D.E., and Karakasis E.G. A unified methodology for efficient computation of discrete orthogonal image moments. Information Sciences 179 20 (2009) 3619-3633
    • (2009) Information Sciences , vol.179 , Issue.20 , pp. 3619-3633
    • Papakostas, G.A.1    Koulouriotis, D.E.2    Karakasis, E.G.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.