Second order wedgelets in image coding

EUROCON 2007 - The International Conference on Computer as a Tool

Volumn , Issue , 2007, Pages 237-244

  Lisowska, Agnieszka ^a  

^a UNIVERSITY OF SILESIA   (Poland)

Author keywords

Geometrical image coding; Second order wedgelets; Wedgelets

Indexed keywords

APPROXIMATION ALGORITHMS; BOOLEAN FUNCTIONS; COMPUTATIONAL GEOMETRY; EDGE DETECTION; GEOMETRY; KETONES; PROGRAMMING THEORY; VISUAL COMMUNICATION;

COMPRESSION PROPERTIES; DEGREE CURVES; GEOMETRICAL WAVELETS; HUMAN VISUAL SYSTEM (HVS); IN ORDER; INTERNATIONAL CONFERENCES; RATE-DISTORTION SENSE; SECOND ORDERS; SPARSE APPROXIMATIONS; STRAIGHT EDGES;

IMAGE CODING;

EID: 46149112151     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/EURCON.2007.4400239     Document Type: Conference Paper

References (18)

1. P.K. Kaiser: The Joy of Visual Perception, http://www.yorku.ca/ eye/thejoy.htm, 2004.
2. D.L. Donoho, "Wedgelets: Nearly-Minimax Estimation of Edges", Annals of Statistics, vol. 27, pp. 859-897, 1999.
3. D.L. Donoho, and X. Huo, "Beamlet Pyramids: A New Form of Multiresolution Analysis, Suited for Extracting Lines, Curves and Objects from Very Noisy Image Data", Proceedings of SPIE, vol. 4119, 2000.
4. E. Candès, and D.L. Donoho, "Curvelets - A Surprisingly Effective Nonadaptive Representation For Objects with Edges", Curves and Surfaces Fitting, A. Cohen. C. Rabut, and L.L. Schumaker. Eds. Saint-Malo: Vanderbilt University Press. 1999.
5. E. Candès, Ridgelets: Theory and Applications, Ph.D. Thesis, Departament of Statistics, Stanford University, 1998.
6. J. Romberg, M.B. Wakin. and R. Baraniuk. "Approximation and Compression of Piecewise Smooth Images Using a Wavelet/Wedgelet Geometric Model". IEEE International Conference on Image Processing, USA, September, 2003.
7. M.B. Wakin, J. Romberg, H. Choi, and R. Baraniuk, "Geometric Tools for Image Compression". Asiiomar Conference on Signals, Systems and Computers, Pacific Grove, USA. November, 2002.
8. L. Demaret, F. Friedrich, H. Führ, T. Szygowski, "Multiscale wedgelet denoising algorithms", Proceedings of SPIE, San Diego, Wavelets XI, Vol. 5914, X1-12, 2005.
9. A. Lisowska, Geometrical Wavelets and their Generalizations in Digital Image Coding and Processing, PhD Thesis. University of Silesia. Sosnowiec, Poland, 2005.
10. A. Lisowska. "Effective coding of images with the use of geometrical wavelets", Proceedings of Decision Support Systems Conference, Zakopane, Poland, 2003 (in Polish).
11. A. Lisowska, "Bent Beamlets -Efficient Tool in Image Coding", Annales UMCS Informatica AI, vol. 2, pp. 217-225, 2004.
12. A. Lisowska, "Extended Wedgelets - Geometrical Wavelets in Efficient Image Coding", Machine Graphics & Vision, vol. 13, no. 3. pp. 261-273, 2004.
13. V. Chandrasekaran, M.B. Wakin. D. Baron, and R. Baraniuk. "Surflets: A Sparse Representation for Multidimensional Functions Containing Smooth Discontinuities", IEEE International Symposium on Information Theory, Chicago, USA, 2004.
14. P.J. Burt, and E.H. Adelson. "The Laplacian Pyramid as a Compact Image Code", IEEE Transactions on Communications, vol. 9, no. 4, pp. 532-540, 1983.
15. D. Marsh. Applied Geometry for Computer Graphics and CAD, Springer. 2000.
16. Waterloo BragZone. http://links.uwaterloo.ca/bragzone.base.html. 2004.
17. J.M. Shapiro, "Embedded Image Coding Using Zerotrees of Wavelet Coefficients", IEEE Transactions on Signal Processing. vol. 41. pp. 3445-3462, 1993.
18. Y. Fisher, Fractal Image Compression - Theory and Application, Springer-Verlag, New York, 1994.