High-quality image resizing using oblique projection operators

IEEE Transactions on Image Processing

Volumn 7, Issue 5, 1998, Pages 679-692

  Lee, Chulhee ^a,b   Eden, Murray ^a,c   Unser, Michael ^a,d  

^a IEEE   (South Korea)

^b Yonsei University   (South Korea)

^c NATIONAL INSTITUTES OF HEALTH   (United States)

^d EPFL   (Switzerland)

Author keywords

B spline models; Image scaling (magnification and reduction); Oblique projection; Orthogonal projection; Resampling

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; IMAGE QUALITY; INTERPOLATION; MATHEMATICAL MODELS;

IMAGE RESIZING; OBLIQUE PROJECTION OPERATORS;

IMAGE PROCESSING;

EID: 0032071967     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.668025     Document Type: Article

References (27)

1. W. K. Pratt, Digital Image Processing. New York: Wiley, 1978.
2. A. Rosenfeld and A. C. Kak, Digital Picture Processing. New York: Academic, 1982.
3. R. G. Keys, "Cubic convolution interpolation for digital image processing," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, pp. 1153-1160, 1981.
4. H. S. Hou and H. C. Andrews, "Cubic splines for image interpolation and digital filtering," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-26, pp. 508-517, 1978.
5. M. Unser, A. Aldroubi, and M. Eden, "Fast B-spline transforms for continuous image representation and interpolation," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 277-285, 1991.
6. G. Strang and G. Fix, "A Fourier analysis of the finite element variational method," in Constructive Aspect of Functional Analysis, Rome, Italy: Edizioni Cremonese, 1971, pp. 796-830.
7. C. de Boor, "Quasiinterpolation and approximation power of multivariate splines," in Computation of Curves and Surfaces, W. Dahmen, Ed. Boston, MA: Kluwer, pp. 313-345, 1990.
8. A. Aldroubi, M. Unser, and M. Eden, "Cardinal spline filters: Stability and convergence to the ideal sine interpolator," Signal Process., vol. 28, pp. 127-138, Aug. 1992.
9. S. G. Mallat, "A theory of multiresolution signal decomposition: The wavelet representation," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 674-693, 1989.
10. 2 polynomial spline pyramid," IEEE Trans. Pattern Anal. Machine Intell., vol. 15, pp. 364-379, 1993.
11. 2," SIAM J. Math. Anal., vol. 25, pp. 1412-1432, Sept. 1994.
12. H. Greenspan and C. H. Anderson, "Image enhancement by nonlinear extrapolation in frequency space," in Proc. SPIE, Image and Video Processing II, 1994, vol. 2182, pp. 2-13.
13. M. Unser, A. Aldroubi, and M. Eden, "Enlargement or reduction of digital images with minimum loss of information," IEEE Trans. Image Processing, vol. 4, pp. 247-258, 1995.
14. M. Vetterli and J. Kovacevic, Wavelets and Subband Coding. Englewood Cliffs, NJ: Prentice-Hall, 1995.
15. M. Vetterli and C. Herley, "Wavelets and filter banks: Theory and design," IEEE Trans. Signal Processing, vol. 40, pp. 2207-2232, Sept. 1992.
16. A. Cohen, I. Daubechies, and J. C. Feauveau, "Biorthogonal bases of compactly supported wavelets," Commun. Pure Appl. Math., vol. 45, pp. 485-560, 1992.
17. W. Sweldens and R. Piessens, "Asymptotic error expansions for wavelet approximations of smooth functions II," Numer. Math., vol. 68, pp. 377-401, 1994.
18. M. Unser, "Approximation power of biorthogonal wavelet expansions," IEEE Trans. Signal Processing, vol. 44, pp. 519-527, Mar. 1996.
19. M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing, Part II: Efficient design and applications," IEEE Trans. Signal Processing, vol. 41, pp. 834-848, Feb. 1993.
20. A. Aldroubi and M. Unser, "Sampling procedures in function spaces and asymptotic equivalence with Shannon's sampling theory," Numer. Funct. Anal. Optimiz., vol. 15, pp. 1-21, Feb. 1994.
21. I. J. Schoenberg, Cardinal Spline Interpolation. Philadelphia, PA: SIAM, 1973.
22. _, "Cardinal interpolation and spline functions," J. Approx. Theory, vol. 2, pp. 167-206, 1969.
23. M. Unser and A. Aldroubi, "A general sampling theory for non-ideal acquisition devices," IEEE Trans. Signal Processing, vol. 42, pp. 2915-2925, 1994.
24. M. Unser and J. Zerubia, "Generalized sampling: Stability and performance analysis," IEEE Trans. Signal Processing, vol. 45, pp. 2941-2950, Dec. 1997.
25. M. Unser, A. Aldroubi, and M. Eden, "B-spline signal processing. Part I: Theory," IEEE Trans. Signal Processing, vol. 41, pp. 821-833, Feb. 1993.
26. M. Unser, "On the optimality of ideal filters for pyramid and wavelet signal approximation," IEEE Trans. Signal Processing, vol. 41, pp. 3591-3596, Dec. 1993.
27. M. Unser and I. Daubechies, "On the approximation power of convolution-based least squares vs. interpolation," IEEE Trans. Signal Processing, vol. 45, pp. 1697-1711, July 1997.