Interconversion between truncated Cartesian and polar expansions of images

IEEE Transactions on Image Processing

Volumn 16, Issue 8, 2007, Pages 1946-1955

  Park, Wooram ^a   Chirikjian, Gregory S ^a  

^a Johns Hopkins University   (United States)

Author keywords

Coordinate conversion; Interpolation method; Truncated expansions

Indexed keywords

ALGORITHMS; DATA PROCESSING; INTERPOLATION; NUMERICAL METHODS; SAMPLING;

CARTESIAN COORDINATE; COORDINATE CONVERSION; IMAGE DATA; POLAR EXPANSIONS; TRUNCATED EXPANSIONS;

IMAGE PROCESSING;

ALGORITHM; ARTICLE; BRAIN; COMPUTER ASSISTED DIAGNOSIS; EVALUATION; HISTOLOGY; HUMAN; IMAGE ENHANCEMENT; INFORMATION RETRIEVAL; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY;

ALGORITHMS; BRAIN; HUMANS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; INFORMATION STORAGE AND RETRIEVAL; MAGNETIC RESONANCE IMAGING; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY;

EID: 34547768686     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/TIP.2007.899190     Document Type: Article

References (14)

1. R. Massey and A. Refregier, "Polar shapelets," Mon. Not. R. Astron. Soc., vol. 363, pp. 197-210, 2005.
2. I. Kimel and L. R. Elias, "Relations between Hermite and Laguerre Gaussian modes," IEEE J. Quant. Electron., vol. 29, no. 9, pp. 2562-2567, Sep. 1993.
3. A. Refregier, "Shapelets: I. A method for image analysis," Mon. Not. R. Astron. Soc., vol. 338, pp. 35-47, 2003.
4. Z. Chen and R. Ning, "Filling the radon domain in computed tomography by local convex combination," Appl. Opt., vol. 42, no. 35, Dec. 2003.
5. C. Basoglu, Y. Kim, and V. Chalana, "A real-time scan conversion algorithm on commercially available microprocessors," Ultrason. Imag., vol. 18, no. 4, pp. 241-260, Oct. 1996.
6. A. P. Berkhoff, H. J. Huisman, J. M. Thijssen, E. M. G. P. Jacobs, and R. J. F. Homan, "Fast scan conversion algorithms for displaying ultrasound sector images," Ultrason. Imag., vol. 16, no. 2, pp. 87-108, 1994.
7. J. J. Knab, "The sampling window," IEEE Trans. Inf. Theory, vol. IT-29, no. 1, pp. 157-159, Jan. 1983.
8. D. Chang, W. Wu, and J. Jeng, "An efficient architecture of ultrasonic scan conversion forimplementing the cubic convolution interpolation," in Proc. IEEE Nuclear Science Symp., Nov. 1997, vol. 2, pp. 1546-1550.
9. S. J. Julier and J. K. Uhimaun, "A consistent, debiased method for converting between polar and cartesian coordinate systems," Proc. SPIE, vol. 3086, pp. 110-121, 1997.
10. A. M. van Dijk and J. Martens, "Feature-based image compression with steered Hermite transforms," in Proc. IEEE Int. Conf. Image Processing, Sep. 1996, vol. 1, pp. 205-208.
11. J. Martens, "Local orientation analysis in images by means of the Hermite transform," IEEE Trans. Image Process., vol. 6, no. 8, pp. 1103-1116, Aug. 1997.
12. G. S. Chirikjian and A. B. Kyatkin, Engineering Applications of Non-commutative Harmonic Analysis. Boca Raton, FL: CRC, 2001.
13. N. J. Vilenkin and A. U. Klimyk, Representation of Lie Groups and Special Functions. Dordrecht, The Netherlands: Kluwer, 1991, vol. 1-3.
14. W. Park and G. S. Chirikjian, "Lossless rotation of Hermite-filtered images," IEEE Trans. Image Process., to be published.