Local orientation analysis in images by means of the Hermite transform

IEEE Transactions on Image Processing

Volumn 6, Issue 8, 1997, Pages 1103-1116

  Martens, Jean Bernard ^a  

^a Institute for Perception Research Eindhoven   (Netherlands)

Author keywords

Adaptive processing; Differential geometry; Hermite transform; Image analysis; Local orientation; Noise reduction; Scale space

Indexed keywords

IMAGE CODING; MATHEMATICAL TRANSFORMATIONS; SYSTEM THEORY; VECTOR QUANTIZATION;

HERMITE TRANSFORMS; LOCAL ORIENTATION ANALYSIS; NOISE REDUCTION;

IMAGE ANALYSIS;

EID: 0031211693     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.605408     Document Type: Article

References (22)

1. M. Abramowitz and I. Stegun, Handbook of Mathematical Functions. New York: Dover, 1965.
2. I. Daubechies, Ten Lectures on Wavelets. Philadelphia, PA: Soc. Industr. Appl. Math., 1992.
3. E. Dubois, "The sampling and reconstruction of time-varying imagery with application in video systems, in Proc. IEEE, vol. 73, pp. 502-522, Apr. 1985.
4. B. Escalante-Ramírez and J. B. Martens, "Noise reduction in computerized tomography images by means of polynomial transforms," J. Vis. Commun. Image Represent., vol. 3, pp. 272-285, Sept. 1992.
5. W. T. Freeman and E. H. Adelson, "The design and use of steerable filters," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 891-906, 1991.
6. V. Kayargadde and J. B. Martens, "Estimation of edge parameters and image blur using polynomial transforms," CVGIP: Graph. Models Image Processing, vol. 56, pp. 442-461, Nov. 1994.
7. J. J. Koenderink, "The structure of images," Biolog. Cybern., vol. 50, pp. 383-370, 1984.
8. J. J. Koenderink and A. J. van Doom, "Receptive field families," Biolog. Cybern., vol. 63, pp. 291-297, 1990.
9. _, "Generic neighborhood operators," IEEE Trans. Pattern Anal. Machine Intell., vol. 14, pp. 597-605, June 1992.
10. T. Lindeberg, Scale-Space Theory in Computer Vision. Boston, MA: Kluwer, 1994.
11. S. G. Mallat, "Multifrequency channel decompositions of images and wavelet models," IEEE Trans. Acoust., Speech, Signal Processing, vol. 37, pp. 2091-2110, Dec. 1989.
12. J. B. Martens, "The Hermite transform - Theory," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1595-1606, Sept. 1990.
13. _, "The Hermite transform - Applications," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1607-1618, Sept. 1990.
14. _, "Deblurring digital images by means of polynomial transforms," Comput. Vis., Graph., Image Processing, vol. 50, pp. 157-176, 1990.
15. _, "Adaptive image processing by means of polynomial transforms," in Proc. SPIE Conf. on Human Vision, Visual Processing, and Digital Display III, San Jose, CA, Feb. 1992, vol. 1666.
16. _, "Adaptive contrast enhancement through residue-image processing," Signal Process., vol. 44, pp. 1-18, 1995.
17. A. Rosenfeld, Ed., Multiresolution Image Processing and Analysis. New York: Springer-Verlag, 1984.
18. P. Seitz, "The robust recognition of object primitives using local axes of symmetry," Signal Process., pp. 89-108, 1989.
19. M. Vetterli, "Multidimensional subband coding: some theory and algorithm," Signal Process., vol. 6, pp. 97-112, Apr. 1984.
20. A. P. Witkin and J. M. Tenenbaum, "On the role of structure in vision," in Human and Machine Vision, J. Beck, B. Hope, and A. Rosenfeld, Eds. New York: Academic, 1983.
21. R. Young, "The Gaussian derivative theory of spatial vision: Analysis of cortical cell receptive field line-weighting profiles," Rep. 4920, Gen. Motors Res. Labs., Warren, MI.
22. A. M. van Dÿk and J.-B. Martens, "Image representation and compression with steered Hermite transforms," Signal Process., vol. 56, pp. 1-16, 1997.