Abtract - We propose a new family of fi lter banks,
named NDFB, that can achieve the directional decomposition
of arbitrary N-Dimensional (N ≥ 2) signals with a simple and
effi cient tree-structured construction.
Abstract - A fl exible multiscale and directional representation for images is
proposed. The scheme combines directional fi lter banks with the
Laplacian pyramid to provides a sparse representation for two-
Dimensional piecewise smooth signals resembling images. The
underlying expansion is a frame and can be designed to be a
tight frame. Pyramidal directional fi lter banks provide an effective
method to implement the digital curvelet transform. The regularity
issue of the iterated fi lters in the directional fi lter bank is examined.
最小二乘法曲面擬合,包括C程序及說明文件。對(duì)于搞三維重建的有一定幫助-Least squares surface fitting, including the C procedures and documentation. For engaging in three-Dimensional reconstruction to some extent help the
We introduce a sub-cell WENO reconstruction method to evaluate spatial derivatives in the high-order ADER scheme. The basic idea in our reconstruction is to use only r stencils to reconstruct the point-wise values of solutions and spatial derivatives for the 2r-1 th order
ADER scheme in one dimension, while in two dimensions, the dimension-by-dimension sub-cell reconstruction approach for spatial derivatives is employed. Compared with the original ADER scheme of Toro and Titarev (2002) [2] that uses the direct derivatives of reconstructed polynomials for solutions to evaluate spatial derivatives, our method not only reduces greatly the computational costs of the ADER scheme on a given mesh,
but also avoids possible numerical oscillations near discontinuities, as demonstrated by a number of one- and two-Dimensional numerical tests. All these tests show that the 5th-order ADER scheme based on our sub-cell reconstruction method achieves the desired accuracy, and is essentially non-oscillatory and computationally cheaper for problems with discontinuities.
Two 2D phase unwrapping approaches are included:
1. Phase quality guided path following method.
2. Goldstein's branch cut method.
The algorithms are described in:
D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping:
Theory, Algorithms and Software. New York: Wiley-Interscience, 1998.
