Hermite spline multiwavelets for image modeling

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3391, Issue , 1998, Pages 46-56

  Turcajová, Radka ^a  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

Author keywords

Hermite splines; Image models; Multiresolution analysis; Multiwavelets

Indexed keywords

MULTIRESOLUTION ANALYSIS;

CUBIC HERMITE; HERMITE SPLINES; IMAGE MODELING; IMAGE MODELS; IMAGE REPRESENTATIONS; MULTI-WAVELET TRANSFORM; MULTI-WAVELETS; MULTISCALING FUNCTIONS;

IMAGE ANALYSIS;

EID: 0002383451     PISSN: 0277786X     EISSN: 1996756X     Source Type: Conference Proceeding    
DOI: 10.1117/12.304891     Document Type: Conference Paper

References (19)

1. W. K. Pratt, Digital Image Processing, John Wiley and Sons, 1991.
2. B. O. Hultgren, "Subjective quality facotr revisited", in Proc. SPIE 1249, pp. 12-23, 1990.
3. A. P. Ginsburg and W. R. Hendee, "Quantification of visual capability", in The Perception of Visual Information, W. R. Hendee and P. N. T. Wells, eds., pp. 57-86, Springer-Verlag, 1997.
4. S. A. Klein, "Image quality and image compression: A psychophysicist's viewpoint", in Digital Images and Human Vision, A. B. Watson, ed., pp. 72-88, The MIT Press, 1993.
5. C. Zetzsche, E. Barth, and B. Wegmann, "The importance of intrinsically two-dimensional image features in biological vision and picture coding", in Digital Images and Human Vision, A. B. Watson, ed., pp. 109-138, The MIT Press, 1993.
6. B. M. Ter Haar Romeny and L. Florack, "A multiscale geometric model of human vision", in The Perception of Visual Information, W. R. Hendee and P. N. T. Wells, eds., pp. 87-126, Springer-Verlag, 1997.
7. R. Turcajova and V. Strela, "Two ways of constructing hermite spline multiwavelets." Draft, 1998.
8. V. Strela and G. Strang, "Finite element multiwavelets", in Proc. Maratea NATO Conferenc, Kluwer, 1995.
9. A. Cohen, I. Daubechies, and J. C. Feauveau, "Biorthogonal bases of compactly supported wavelets", Comm. Pure and Appl Math. 45, pp. 485-560, 1992.
10. W. Sweldens, "The lifting scheme: A new philosophy in biorthogonal wavelet constructions", in Proc. SPIE 2569, pp. 68-79, 1995.
11. W. Sweldens, "The lifting scheme: A construction of second generation wavelets", SIAM J. Math. Anal. 29(2), 1997.
12. R. Turcajova, "Lifting and multiwavelets." Draft, 1998.
13. G. Plonka, "Factorization of refinement masks of function vectors", in Wavelets and Multilevel Approximation, C. K. Chui and L. L. Schumaker, eds., pp. 317-324, Singapore: World Scientific Publishing Co., 1995.
14. G. Plonka, "Approximation order provided by refinable function vectors", Contr. Approximation 13, pp. 221-244, 1997.
15. A. Cohen, I. Daubechies, and G. Plonka, "Regularity of refinable function vectors and symmetry", J. Fourier Anal. Appl. 3, pp. 295-324, 1997.
16. C. Heil and V. Strang, G. Strela, "Approximation by translates of refinable functions and symmetry", Numerische Mathematik 73, pp. 75-94, 1996.
17. G. Plonka and V. Strela, "Construction of multiscaling functions with approximation and symmetry", SIAM J. Math. Anal. To appear.
18. C. A. Micchelli and T. Sauer, "Regularity of multiwavelets", AICM 7, pp. 455-545, 1997.
19. T. Eirola, "Sobolev characterization of solutions of dilation equations", SIAM J. Math. Anal. 23(4), pp. 1015-1030, 1992.