Reconstruction of irregularly-sampled images by regularization in spline spaces

IEEE International Conference on Image Processing

Volumn 3, Issue , 2002, Pages

  Vázquez, Carlos ^a   Dubois, Eric ^b   Konrad, Janusz ^c  

^a INRS EMT   (Canada)

^b UNIVERSITY OF OTTAWA   (Canada)

^c Boston University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPUTATIONAL COMPLEXITY; GRADIENT METHODS; IMAGE QUALITY; INTERPOLATION; MOTION COMPENSATION; POLYNOMIALS; SAMPLING; SIGNAL FILTERING AND PREDICTION;

BAND-LIMITED FUNCTION MODEL; IRREGULAR SAMPLING THEORY; POLYNOMIAL INTERPOLATION; SPLINE SPACE; TRIANGULATION ALGORITHM;

IMAGE RECONSTRUCTION;

EID: 0036452388     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

1. F.A. Marvasti, C. Liu, and G. Adams, "Analysis and recovery of multidimensional signals from irregular samples using nonlinear and iterative techniques," Signal Process., vol. 36, no. 1, pp. 13-30, Mar. 1994.
2. H. Feichtinger and K. Gröchenig, "Theory and practice of irregular sampling," in Wavelet: Mathematics and Applications, J. Benedetto and M. Frazier, Eds., chapter 8, pp. 305-363. CRC Press, Boca Raton FL, 1994.
3. J. Benedetto, "Frame decompositions, sampling and uncertainty principle inequalities," in Wavelet: Mathematics and Applications, J. Benedetto and M. Frazier, Eds., chapter 7, pp. 247-304. CRC Press, Boca Raton FL., 1993.
4. W. Chen, S. Itoh, and J. Shiki, "Irregular sampling theorems for wavelet subspaces," IEEE Trans. Inf. Theory, vol. 44, no. 3, pp, 1131-1142, May 1998.
5. A. Aldroubi and K. Gröchenig, "Non-uniform sampling and reconstruction in shift-invariant spaces," SIAM Review, 43, no. 4, pp. 585-620, Oct. 2001.
6. K. Sauer and J. Allebach, "Iterative reconstruction of band-limited images from nonuniformly spaced samples," IEEE Trans. Circuits Syst., vol. CAS-34, no. 12, pp. 1497-1506, Dec. 1987.
7. R. Stasiński and J. Konrad, "Pocs reconstruction of stereoscopic views," in Proc. Int. Conf. on Augmented, Virtual Environments and 3-Dimensional Imaging, ICAV3D, Mikonos, Greece, May 2001, EURASIP, vol. II, pp. 315-318.
8. R. Szeliski, "Fast surface interpolation using hierarchical basis functions," IEEE Trans. Pattern Anal. Machine Intell., vol. 12, no. 6, pp. 513-528, June 1990.
9. S. Lee, K. Chwa, J. Hahn, and S. Shin, "Image morphing using deformation techniques," Journal on Visualization and Computer Animation, vol. 7, no. 1, pp. 3-23, Jan. 1996.
10. S. Lee G. Wolberg, and S. Shin, "Scattered data interpolation with multilevel B-splines," IEEE Trans. Visualization and Comput. Graphics, vol. 3, no. 3, pp. 228-244, July 1997.
11. M. Unser, "Splines: A perfect fit for signal and images processing," IEEE Signal Process. Magazine, vol. 16, no. 6, pp. 22-38, Nov. 1999.
12. P. Thévenaz, T. Blu, and M. Unser, "Interpolation revisited," IEEE Trans. Image Process., vol. 19, no. 7, pp. 739-758, July 2000.