Image analysis – Image compression or coding – Pyramid – hierarchy – or tree structure
Reexamination Certificate
2007-04-27
2010-11-09
Alavi, Amir (Department: 2624)
Image analysis
Image compression or coding
Pyramid, hierarchy, or tree structure
Reexamination Certificate
active
07831104
ABSTRACT:
Certain embodiments provide systems and methods for using geometric wavelets based on active contours for signal processing. Certain embodiments may allow image processing. A system includes providing an image processing circuitry that computes a segmentation tree using active contours for an input image data; creates a geometric wavelets representation using the segmentation tree; and then generate an image based on geometric wavelet sparse representation extracted from the geometric wavelets representation. The geometric wavelet sparse representation may comprise M most active geometric wavelets from a set of N geometric wavelets in the geometric wavelets representation. The image processing circuitry may recursively find sub-domains and multivariate polynomials for each domain at each stage in the computing of the segmentation tree. Each of the sub-domains is a domain for a succeeding stage for the segmentation tree. The recursively finding may be terminated, for example, when each domain at a stage comprises less than a determined number of pixels.
REFERENCES:
patent: 5671294 (1997-09-01), Rogers et al.
patent: 5862245 (1999-01-01), Renouard et al.
patent: 5987173 (1999-11-01), Kohno et al.
patent: 5995668 (1999-11-01), Corset et al.
patent: 6573890 (2003-06-01), Lengyel
patent: 7177488 (2007-02-01), Berkner et al.
patent: 7418144 (2008-08-01), Wang et al.
patent: 2005/0063596 (2005-03-01), Yomdin et al.
patent: 2008/0130759 (2008-06-01), Weitbruch et al.
patent: 2008/0267518 (2008-10-01), Dekel et al.
Image Coding With Geometric Wavelets, D. Alani, A. Averbuch, S. Dekel, IEEE Transactions on Image Processing (to appear) pp. 1-22.
Platelets: A Multiscale Approach for Recovering Edges and Surfaces in Photon-Limited Medical Imaging, R. Willett, R. Nowak, IEEE Transactions on Medical Imaging, 22 (2003), pp. 1-19.
Fast Multiresolution Photon-Limited Image Reconstruction, R. Willett, R. Nowak, IEEE International Symposium on Biomedical Imaging, 2004, pp. 1-8.
Adaptive Multivariate Approximation Using Binary Space Partitions and Geometric Wavelets, S. Dekel, D. Leviatan, SIAM Journal of Numerical Analysis, 43 (2005, pp. 1-38.
Active Contours Without Edges, T. Chan, L. Vese, IEEE Transactions on Image Processing, vol. 10, No. 2, Feb. 2001, pp. 266-277.
Efficient Moment Computation Over Polygonal Domains with an Application to Rapid Wedgelet Approximation, F. Freidrich, L. Demaret, H. Fuhr, K. Wicker, preprint, pp. 1-19.
Nonlinear Piecewise Polynomial Approximation Beyond Besov Spaces, B. Karaivanov, P. Petrushev, Appl. Comput. Harmon. Anal. 15 (2003), No. 3, 177-223.
Boundary Detection by Minimizing Functionals, I., D. Mumford, J. Shah, in Proc. IEEE Conf. Computer Visionand Pattern Recognition, San Francisco, CA 1985, pp. 22-26.
Optimal Approximations of Piecewise Smooth Functions and Associated Variational Problems, D. Mumford, J. Shah, Communications in Pure and Applied Math. 42 (1989), pp. 577-685.
Dekel Shai
Sherman Alexander
Alavi Amir
Dellapenna Michael A.
General Electric Company
McAndrews Held & Malloy Ltd.
LandOfFree
Using geometric wavelets based on active contours for signal... does not yet have a rating. At this time, there are no reviews or comments for this patent.
If you have personal experience with Using geometric wavelets based on active contours for signal..., we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Using geometric wavelets based on active contours for signal... will most certainly appreciate the feedback.
Profile ID: LFUS-PAI-O-4152818