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- Title
Measuring the profile of a simulated machined aspherical surface using a nonconventional optimization algorithm.
- Authors
Juan Jaime Sa´nchez Escobar; Liliana Ibeth Barbosa Santilla´n; Javier Vargas Ubera; Javier Salinas Luna; He´ctor Guillen Bonilla
- Abstract
We show an optimization method based on an evolutive algorithm to obtain the profile of a simulated machined aspherical surface starting from a set of noisy discrete Cartesian coordinates (x,y,z), where the experimental coordinates x and y are used to simulate the sagitta z of the analyzed surface. By minimizing an objective function, the proposed method fits the sagitta function to the set of noisy discrete coordinates; thus the geometrical parameters of the simulated surface under test, such as the paraxial radius of curvature, the conic constant, and the aspheric deformation constants, can be obtained. Numerical results show that our method can be successfully applied to retrieve the simulated machined surface profile.
- Subjects
MANUFACTURING processes; COORDINATES; SAGITTOIDEA; SAGITTA
- Publication
Optical Engineering, 2008, Vol 47, Issue 8, p83601
- ISSN
0091-3286
- Publication type
Article