메뉴 건너뛰기




Volumn 14, Issue 3, 2005, Pages 343-359

Rate-distortion optimized tree-structured compression algorithms for piecewise polynomial images

Author keywords

Binary tree; Bit allocation; Coding; Neighbor joining; Piecewise polynomial functions; Pruning; Quadtree; Rate distortion; Tree structured segmentation

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; IMAGE CODING; IMAGE SEGMENTATION; MATHEMATICAL MODELS; OPTIMIZATION; PIECEWISE LINEAR TECHNIQUES; POLYNOMIAL APPROXIMATION;

EID: 14844361142     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2004.840710     Document Type: Article
Times cited : (134)

References (33)
  • 1
    • 0003306887 scopus 로고    scopus 로고
    • "Curvelets- A surprisingly effective non-adaptive representation for objects with edges"
    • A. Cohen, C. Rabut, and L. L. Schumaker, Eds. Nashville, TN: Vanderbilt Univ. Press
    • E. J. Candes and D. L. Donoho, "Curvelets- a surprisingly effective non-adaptive representation for objects with edges," in Curve and Surface Fitting, A. Cohen, C. Rabut, and L. L. Schumaker, Eds. Nashville, TN: Vanderbilt Univ. Press, 1999.
    • (1999) Curve and Surface Fitting
    • Candes, E.J.1    Donoho, D.L.2
  • 2
    • 0024626309 scopus 로고
    • "Optimal pruning with applications to tree structured source coding and modeling"
    • Mar
    • P. A. Chou, T. Lookabaugh, and R. M. Gray, "Optimal pruning with applications to tree structured source coding and modeling," IEEE Trans. Inf. Theory, vol. 35, no. 2, pp. 299-315, Mar. 1989.
    • (1989) IEEE Trans. Inf. Theory , vol.35 , Issue.2 , pp. 299-315
    • Chou, P.A.1    Lookabaugh, T.2    Gray, R.M.3
  • 3
    • 0036649527 scopus 로고    scopus 로고
    • "On the importance of combining wavelet-based nonlinear approximation with coding strategies"
    • Jul
    • A. Cohen, I. Daubechies, O. G. Guleryuz, and M. T. Orchard, "On the importance of combining wavelet-based nonlinear approximation with coding strategies," IEEE Trans. Inf. Theory, vol. 48, no. 4, pp. 1895-1921, Jul. 2002.
    • (2002) IEEE Trans. Inf. Theory , vol.48 , Issue.4 , pp. 1895-1921
    • Cohen, A.1    Daubechies, I.2    Guleryuz, O.G.3    Orchard, M.T.4
  • 4
    • 0035171421 scopus 로고    scopus 로고
    • "Compact representations of images by edge adapted multiscale transforms"
    • Thessaloniki, Greece, Oct
    • A. Cohen and B. Matei, "Compact representations of images by edge adapted multiscale transforms," in Proc. IEEE Int. Conf. Image Processing, Thessaloniki, Greece, Oct. 2001, pp. 8-11.
    • (2001) Proc. IEEE Int. Conf. Image Processing , pp. 8-11
    • Cohen, A.1    Matei, B.2
  • 6
    • 0035171422 scopus 로고    scopus 로고
    • "On the compression of two dimensional piecewise smooth functions"
    • Thessaloniki, Greece, Oct
    • M. N. Do, P. L. Dragotti, R. Shukla, and M. Vetterli, "On the compression of two dimensional piecewise smooth functions," in Proc. IEEE Int. Conf. Image Processing, Thessaloniki, Greece, Oct. 2001, pp. 14-17.
    • (2001) Proc. IEEE Int. Conf. Image Processing , pp. 14-17
    • Do, M.N.1    Dragotti, P.L.2    Shukla, R.3    Vetterli, M.4
  • 7
    • 4344670522 scopus 로고    scopus 로고
    • J. Stoeckler and G. V. Welland, Eds. San Diego, CA: Academic
    • M. N. Do and M. Vetterli, Contourlets: Beyond Wavelets, J. Stoeckler and G. V. Welland, Eds. San Diego, CA: Academic, 2003.
    • (2003) Contourlets: Beyond Wavelets
    • Do, M.N.1    Vetterli, M.2
  • 8
    • 0033248623 scopus 로고    scopus 로고
    • "Wedgelets: Nearly minimax estimation of edges"
    • D. L. Donoho, "Wedgelets: Nearly minimax estimation of edges," Ann. Stat., vol. 27, no. 3, pp. 859-897, 1999.
    • (1999) Ann. Stat. , vol.27 , Issue.3 , pp. 859-897
    • Donoho, D.L.1
  • 9
    • 0003490282 scopus 로고    scopus 로고
    • "Beamlets and multiscale image analysis"
    • Tech. Rep., Department of Statistics, Stanford Univ., Stanford, CA
    • D. L. Donoho and X. Huo, "Beamlets and multiscale image analysis," Tech. Rep., Department of Statistics, Stanford Univ., Stanford, CA, 2001.
    • (2001)
    • Donoho, D.L.1    Huo, X.2
  • 10
    • 0038735770 scopus 로고    scopus 로고
    • "Wavelet footprints: Theory, algorithms and applications"
    • May
    • P. L. Dragotti and M. Vetterli, "Wavelet footprints: Theory, algorithms and applications," IEEE Trans. Signal Process., vol. 51, no. 5, pp. 1306-1323, May 2003.
    • (2003) IEEE Trans. Signal Process. , vol.51 , Issue.5 , pp. 1306-1323
    • Dragotti, P.L.1    Vetterli, M.2
  • 11
    • 85032752137 scopus 로고    scopus 로고
    • "Theoretical foundations of transform coding"
    • Sep
    • V. K. Goyal, "Theoretical foundations of transform coding," IEEE Signal Process. Mag., vol. 18, no. 5, pp. 9-21, Sep. 2001.
    • (2001) IEEE Signal Process. Mag. , vol.18 , Issue.5 , pp. 9-21
    • Goyal, V.K.1
  • 12
    • 0001101817 scopus 로고
    • "Block quantization of correlated Gaussian random variables"
    • Sep
    • J. J. Y. Huang and P. M. Schultheiss, "Block quantization of correlated Gaussian random variables," IEEE Trans. Comm., vol. 11, no. 9, pp. 289-296, Sep. 1963.
    • (1963) IEEE Trans. Comm. , vol.11 , Issue.9 , pp. 289-296
    • Huang, J.J.Y.1    Schultheiss, P.M.2
  • 14
    • 0034250348 scopus 로고    scopus 로고
    • "Tiling and adaptive image compression"
    • Aug
    • W. S. Lee, "Tiling and adaptive image compression," IEEE Trans. Inf. Theory, vol. 46, no. 5, pp. 1789-1799, Aug. 2000.
    • (2000) IEEE Trans. Inf. Theory , vol.46 , Issue.5 , pp. 1789-1799
    • Lee, W.S.1
  • 15
    • 84958488127 scopus 로고
    • "Adaptive split and merge for image analysis and coding"
    • R. Leonardi and M. Kunt, "Adaptive split and merge for image analysis and coding," Proc. SPIE, vol. 594, 1985.
    • (1985) Proc. SPIE , vol.594
    • Leonardi, R.1    Kunt, M.2
  • 18
    • 0035172890 scopus 로고    scopus 로고
    • "Bandelet representation for image compression"
    • Thessaloniki, Greece, Oct
    • E. Le Pennec and S. Mallat, "Bandelet representation for image compression," in Proc. IEEE Int. Conf. Image Processing, Thessaloniki, Greece, Oct. 2001, p. 12.
    • (2001) Proc. IEEE Int. Conf. Image Processing , pp. 12
    • Le Pennec, E.1    Mallat, S.2
  • 19
    • 0347507433 scopus 로고    scopus 로고
    • "Approximation and compression of piece-wise smooth functions"
    • Sep
    • P. Prandoni and M. Vetterli, "Approximation and compression of piece-wise smooth functions," Phil. Trans. Roy. Soc. London, vol. 357, no. 1760, pp. 2573-2591, Sep. 1999.
    • (1999) Phil. Trans. Roy. Soc. London , vol.357 , Issue.1760 , pp. 2573-2591
    • Prandoni, P.1    Vetterli, M.2
  • 20
    • 0003464091 scopus 로고    scopus 로고
    • "Optimal segmentation techniques for piecewise stationary signals"
    • Ph.D. dissertation, Swiss Federal Inst. Technol., Lausanne, Switzerland
    • P. Prandoni, "Optimal segmentation techniques for piecewise stationary signals," Ph.D. dissertation, Swiss Federal Inst. Technol., Lausanne, Switzerland. 1999.
    • (1999)
    • Prandoni, P.1
  • 22
    • 0030414203 scopus 로고    scopus 로고
    • "Image compression using binary space partitioning trees"
    • Dec
    • H. Radha, M. Vetterli, and R. Leonardi, "Image compression using binary space partitioning trees," IEEE Trans. Image Process., vol. 5, no. 12, pp. 1610-1624, Dec. 1996.
    • (1996) IEEE Trans. Image Process. , vol.5 , Issue.12 , pp. 1610-1624
    • Radha, H.1    Vetterli, M.2    Leonardi, R.3
  • 23
    • 0027578917 scopus 로고
    • "Best wavelet packet bases in a rate distortion sense"
    • Feb
    • K. Ramchandran and M. Vetterli, "Best wavelet packet bases in a rate distortion sense," IEEE Trans. Image Process., vol. 2, no. 2, pp. 160-175, Feb. 1993.
    • (1993) IEEE Trans. Image Process. , vol.2 , Issue.2 , pp. 160-175
    • Ramchandran, K.1    Vetterli, M.2
  • 24
    • 14844359820 scopus 로고    scopus 로고
    • "Rate-distortion optimized geometrical image processing"
    • Ph.D. dissertation, Swiss Federal Inst. Technol., Lausanne, Switzerland
    • R. Shukla, "Rate-distortion optimized geometrical image processing," Ph.D. dissertation, Swiss Federal Inst. Technol., Lausanne, Switzerland, 2004.
    • (2004)
    • Shukla, R.1
  • 25
    • 84908313204 scopus 로고    scopus 로고
    • "Improved quadtree algorithm based on joint coding for piecewise smooth image compression"
    • Aug
    • R. Shukla, P. L. Dragotti, M. N. Do, and M. Vetterli, "Improved quadtree algorithm based on joint coding for piecewise smooth image compression," in Proc. IEEE Int. Conf. Multimedia, Aug. 2002, pp. 637-640.
    • (2002) Proc. IEEE Int. Conf. Multimedia , pp. 637-640
    • Shukla, R.1    Dragotti, P.L.2    Do, M.N.3    Vetterli, M.4
  • 26
    • 85032751572 scopus 로고    scopus 로고
    • "Transform coding: Past, present and future, special issue"
    • Sep
    • J. Kovacevic and M. Vetterli, "Transform coding: Past, present and future, special issue," IEEE Signal Process. Mag., vol. 18, no. 5, p. 6, Sep. 2001.
    • (2001) IEEE Signal Process. Mag. , vol.18 , Issue.5 , pp. 6
    • Kovacevic, J.1    Vetterli, M.2
  • 27
    • 0028426739 scopus 로고
    • "Efficient quadtree coding of images and video"
    • Mar
    • G. J. Sullivan and R. L. Baker, "Efficient quadtree coding of images and video," IEEE Trans. Image Process., vol. 3, no. 3, pp. 327-331, Mar. 1994.
    • (1994) IEEE Trans. Image Process. , vol.3 , Issue.3 , pp. 327-331
    • Sullivan, G.J.1    Baker, R.L.2
  • 29
    • 0026908148 scopus 로고
    • "Image coding with variable block size segmentation"
    • Aug
    • D. J. Vaisey and A. Gersho, "Image coding with variable block size segmentation," IEEE Trans. Signal Process., vol. 40, no. 8, pp. 2040-2060, Aug. 1992.
    • (1992) IEEE Trans. Signal Process. , vol.40 , Issue.8 , pp. 2040-2060
    • Vaisey, D.J.1    Gersho, A.2
  • 31
    • 85032751948 scopus 로고    scopus 로고
    • "Wavelets, approximation and compression"
    • Sep
    • M. Vetterli, "Wavelets, approximation and compression," IEEE Signal Process. Mag., vol. 18, no. 5, pp. 59-73, Sep. 2001.
    • (2001) IEEE Signal Process. Mag. , vol.18 , Issue.5 , pp. 59-73
    • Vetterli, M.1
  • 33
    • 0026954770 scopus 로고
    • "Image coding by adaptive tree structured segmentation"
    • Nov
    • X. Wu, "Image coding by adaptive tree structured segmentation," IEEE Trans. Info. Theory, vol. 38, no. 6, pp. 1755-1767, Nov. 1992.
    • (1992) IEEE Trans. Info. Theory , vol.38 , Issue.6 , pp. 1755-1767
    • Wu, X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.