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Error Analysis for H 1 Based Wavelet Interpolations Tony F. Chan1 , Hao-Min Zhou2 , and Tie Zhou3 1 2 3 Department of Mathematics, University of California, Los Angles, CA 90095. A. A. R. China. cn Summary. We rigorously study the error bound for the H 1 wavelet interpolation problem, which aims to recover missing wavelet coefficients based on minimizing the H 1 norm in physical space. Our analysis shows that the interpolation error is bounded by the second order of the local sizes of the interpolation regions in the wavelet domain.

Of Singapore, 2003. 25. P. Perona and J. Malik, Scale-space and edge detection using anisotropic diffusion, IEEE T PATTERN ANAL. 12: (7), July, 1990, pp629-639. 26. L. Rudin, S. Osher and E. Fatemi, Nonlinear Total Variation Based Noise Removal Algorithms, Physica D, Vol 60(1992), pp. 259-268. F. -M. Zhou, T. Zhou 27. L. Starck, M. Elad and D. Donoho. Image Decomposition via the Combination of Sparse Representations and a Variational Approach. to appear in the IEEE Trans. Image Processing. 28. G.

N. Wu, and D. Mumford. Minimax entropy principle and its applications to texture modeling. , 9:1627–1660, 1997. CLG Method for Optical Flow Estimation Based on Gradient Constancy Assumption Adam Rabcewicz Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, Toru´ n, Poland. pl Summary. Many differential methods for optical flow computation are extensions of the Lucas-Kanade technique or the Horn-Schunck approach. Both exploit a brightness constancy assumption. The former method is local and it is recognized for its robustness under noise.

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A critique of the determination of the energy-momentum of a system from the equations of motion of matter in the general theory of relativity


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