کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5007887 1461702 2017 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Spline based least squares integration for two-dimensional shape or wavefront reconstruction
ترجمه فارسی عنوان
یکپارچگی حداقل مربعات بر اساس شکاف برای شکل دو بعدی یا بازسازی موج
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مهندسی برق و الکترونیک
چکیده انگلیسی


- A novel approach for the two-dimensional reconstruction from slopes with the spline technique.
- It outperforms existing zonal wavefront reconstruction methods, especially at the boundaries.
- The reconstruction results indicate the proposed method is feasible and robust in practice.

In this work, we present a novel method to handle two-dimensional shape or wavefront reconstruction from its slopes. The proposed integration method employs splines to fit the measured slope data with piecewise polynomials and uses the analytical polynomial functions to represent the height changes in a lateral spacing with the pre-determined spline coefficients. The linear least squares method is applied to estimate the height or wavefront as a final result. Numerical simulations verify that the proposed method has less algorithm errors than two other existing methods used for comparison. Especially at the boundaries, the proposed method has better performance. The noise influence is studied by adding white Gaussian noise to the slope data. Experimental data from phase measuring deflectometry are tested to demonstrate the feasibility of the new method in a practical measurement.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Optics and Lasers in Engineering - Volume 91, April 2017, Pages 221-226
نویسندگان
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