A note on cubic convolution interpolation

IEEE Transactions on Image Processing

Volumn 12, Issue 4, 2003, Pages 477-479

  Meijering, Erik ^a   Unser, Michael ^a  

^a EPFL   (Switzerland)

Author keywords

Convolution interpolation; Cubic convolution kernels; Osculatory interpolation

Indexed keywords

IMAGE PROCESSING; INTERPOLATION; POLYNOMIAL APPROXIMATION; SET THEORY;

CONVOLUTION INTERPOLATION;

CONVOLUTION;

EID: 0037645739     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2003.811493     Document Type: Article

References (14)

1. T. M. Lehmann, C. Gönner, and K. Spitzer, "Survey: Interpolation methods in medical image processing," IEEE Trans. Med. Imag., vol. 18, pp. 1049-1075, Nov. 1999.
2. P. Thévenaz, T. Blu, and M. Unser, "Interpolation revisited," IEEE Trans. Med. Imag., vol. 19, pp. 739-758, July 2000.
3. E. H. W. Meijering, W. J. Niessen, and M. A. Viergever, "Quantitative evaluation of convolution-based methods for medical image interpolation," Med. Image Anal., vol. 5, no. 2, pp. 111-126, 2001.
4. R. W. Schafer and L. R. Rabiner, "A digital signal processing approach to interpolation," Proc. IEEE, vol. 61, pp. 692-702, June 1973.
5. A. Schaum, "Theory and design of local interpolators," CVGIP: Graph. Models Image Process., vol. 55, no. 6, pp. 464-481, 1993.
6. R. G. Keys, "Cubic convolution interpolation for digital image processing," IEEE Trans. Acoust., Speech, Signal Processing, vol. ASSP-29, no. 6, pp. 1153-1160, 1981.
7. S. S. Rifman, "Digital rectification of ERTS multispectral imagery," in Proc. Symp. Significant Results Obtained From the Earth Resources Technology Satellite-1, vol. 1, sec. B, 1973, NASA SP-327, pp. 1131-1142.
8. E. Catmull and R. Rom, "A class of local interpolating splines," in Computer Aided Geometric Design, R. E. Barnhill and R. F. Riesenfeld, Eds. New York: Academic, 1974, pp. 317-326.
9. T. N. E. Greville, "The general theory of osculatory interpolation," Trans. Actuarial Soc. Amer., vol. 45, pp. 202-265, 1944.
10. J. Karup, "Über eine neue mechanische Ausgleichungsmethode," in Transactions of the Second International Actuarial Congress, G. King, Ed. London, U.K.: Charles and Edwin Layton, 1899, pp. 31-77.
11. G. King, "Notes on summation formulas of graduation, with certain new formulas for consideration," J. Inst. Actuaries, vol. 41, pp. 530-565, 1907.
12. E. S. W. Shiu, "A survey of graduation theory," in Actuarial Mathematics, H. H. Panjer, Ed.. Providence, RI, 1986, pp. 67-84.
13. R. Henderson, "A practical interpolation formula, with a theoretical introduction," Trans. Actuarial Soc. Amer., vol. 9, no. 35. pp. 211-224, 1906.
14. I. J. Schoenberg, "Contributions to the problem of approximation of equidistant data by analytic functions," Q. Appl. Math., vol. 4, no. 1 and 2, pp. 45-99, 112-141, 1946.