Two-dimensional, three-dimensional, and gray-scale images reconstructed from computer-generated holograms designed by use of a direct-search method

1999 ◽  
Vol 38 (25) ◽  
pp. 5331 ◽  
Author(s):  
Matthew Clark
Keyword(s):  
Three Dimensional ◽  
Direct Search ◽  
Search Method ◽  
Two Dimensional ◽  
Gray Scale ◽  
Direct Search Method ◽  
Computer Generated Holograms

Accuracy and Fitting-Time Minimization in the Reverse Engineering of Prismatic Features

1999 ◽  
Author(s):  
Ashraf O. Nassef ◽  
Ayman M. Ashraf ◽  
Sayed M. Metwalli
Keyword(s):  
Genetic Algorithms ◽  
Reverse Engineering ◽  
Three Dimensional ◽  
Direct Search ◽  
Search Method ◽  
Direct Search Method ◽  
Simplex Search ◽  
Time Minimization ◽  
Engineering Models ◽  
Real Coded Genetic Algorithms

Abstract In many years of industry, it is desirable to create geometric models of existing objects for which no such models are available. Reverse engineering transforms real parts into engineering models and concepts. This paper presents an approach for fitting three-dimensional prismatic features using real-coded genetic algorithms. The approach is compared with the Nelder Meade Simplex search method as a variant of the traditional direct search method. The results show the superiority of the real-coded genetic algorithms over the traditional direct search method with respect to accuracy. The paper also concerns with the minimization of the fitting time through minimizing the number of objective function evaluations. This is done by optimizing the genetic algorithms parameters such as the number of times for which the various cross-overs and mutations should be applied.

scholarly journals A Frame-Based Conjugate Gradients Direct Search Method with Radial Basis Function Interpolation Model

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Xiaowei Fang ◽  
Qin Ni
Keyword(s):  
Radial Basis Function ◽  
Basis Function ◽  
Direct Search ◽  
Search Method ◽  
Conjugate Gradients ◽  
Test Problems ◽  
Interpolation Model ◽  
Direct Search Method ◽  
Radial Basis Function Interpolation ◽  
Radial Basis

In this paper, we propose a new hybrid direct search method where a frame-based PRP conjugate gradients direct search algorithm is combined with radial basis function interpolation model. In addition, the rotational minimal positive basis is used to reduce the computation work at each iteration. Numerical results for solving the CUTEr test problems show that the proposed method is promising.

A direct-search method for the computer design of holograms

1996 ◽  
Vol 124 (1-2) ◽  
pp. 150-164 ◽  
Author(s):  
Matthew Clark ◽  
Robin Smith
Keyword(s):  
Direct Search ◽  
Search Method ◽  
Computer Design ◽  
Direct Search Method
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