Hough Transform (HT) is a method for shape extraction that uses a parameter accumulator array. Based on the analysis of generic conic equation it is possible to establish a robust approach for conic shape identification in images if some aspects are respected. This paper introduces a unique methodology to detect any conic equation parameters using the HT idea. The basis of the formulation here ...

We show that the complexity (the number of elements) of an optimal parabolic or conic spline approximating a smooth curve with nonvanishing curvature to within symmetric difference distance ε is c1 ε −1/4 + O(1), if the spline consists of parabolic arcs and c2 ε −1/5 +O(1), if it is composed of general conic arcs of varying type. The constants c1 and c2 are expressed in the affine curvature of ...

This chapter presents the application of a comprehensive statistical analysis for both algorithmic performance comparison and optimal parameter estimation on a multi-objective digital signal processing problem. The problem of designing optimum digital finite impulse response (FIR) filters with the simultaneous approximation of the filter magnitude and phase is posed as a multiobjective optimiza...

A continuous time mean variance (MV) problem optimizes the biobjective criteria (V , E), representing variance V and expected value E, respectively, of a random variable at the end of a time horizon T . This problem is computationally challenging since the dynamic programming principle cannot be directly applied to the variance criterion. An embedding technique has been proposed in [D. Li and W...

Wedescribe a polynomial-size conic quadratic reformulation for amachine-job assignment problemwith separable convex cost. Because the conic strengthening is based only on the objective of the problem, it can also be applied to other problems with similar cost functions. Computational results demonstrate the effectiveness of the conic reformulation. © 2009 Elsevier B.V. All rights reserved.

We study static and spherically symmetric charged stars with a nontrivial profile of the scalar field $\phi$ in Einstein-Maxwell-scalar theories. The is coupled to $U(1)$ gauge $A_{\mu}$ form $-\alpha(\phi)F_{\mu \nu}F^{\mu \nu}/4$, where $F_{\mu \nu}=\partial_{\mu}A_{\nu}-\partial_{\nu} A_{\mu}$ strength tensor. Analogous case black holes, we show that this type interaction can induce spontane...

A new approximation method for conic section by quartic Bézier curves is proposed. This method is based on the quartic Bézier approximation of circular arcs. We give the upper bound of Hausdorff distance between the conic section and the quartic Bézier curve, and also show that the approximation order is eight. And we prove that our approximation method has a smaller upper bound than previous q...