The Hough transform is an important problem in image processing and computer vision. Recently, an efficient algorithm for computing the Hough transform has been proposed on a reconfigurable array [12]. For a problem with an p N p N image and an n n parameter space, the algorithm runs in a constant time on a threedimensional (3-D) n n N reconfigurable mesh where the data bus is N1=c-bit wide. To...

We analyze the detection and classification of singularities of functions f = χB , where B ⊂ R and d = 2, 3. It will be shown how the set ∂B can be extracted by a continuous shearlet transform associated with compactly supported shearlets. Furthermore, if ∂S is a d−1 dimensional piecewise smooth manifold with d = 2 or 3, we will classify smooth and non-smooth components of ∂S. This improves pre...

A simple method to represent three-dimensional (3-D) convex objects is proposed, in which a onedimensional signature based on the discrete Fourier transform is used to efficiently describe the shape of a convex object. It has position-, orientation-, and scale-invariant properties. Experimental results with synthesized 3-D simple convex objects are given to show the effectiveness of the propose...

Replacing the Hough calculation of the trigonomeric functions, sine and cos0,by the piece-wise linear Hough function(PLH), the basic cost for the sine , cose and the multiplications is removed. The PLH function is directly introduced from the usual Hough function. The PLH function inherits the basic properties of the usual Hough function from the view point to extract the line patterns from the...

Based on recent results for 2-D continuous-discrete systems, this paper develops 2-D Laplace-z transform, which can be used to analyze 2-D continuous-discrete signals and system in Laplace-z hybrid domain. Current 1-D Laplace transformation and z transform can be combined into the new 2-D s-z transform. However, 2-D s-z transformation is not a simple extension of 1D transform, in 2-D case, we n...

In this work we study the problem of wave propagation in a 3-D optical fiber∗. The goal is to obtain a solution for the time-harmonic field caused by a source in a cylindrically symmetric waveguide. The geometry of the problem, corresponding to an open waveguide, makes the problem challenging. To solve it, we construct a transform theory which is a nontrivial generalization of a method for solv...

In this paper, we propose a novel interframe coding method for 3-D medical images. Existing 3-D medical image compression techniques are less effective in case that the interslice distance is not narrow enough. Based on adaptive inter/intra mode selection in motion compensation, however, the proposed method provides good performance regardless of the interslice distance. In this method, adaptiv...