Title
Using Spherical-Harmonics Expansions for Optics Surface Reconstruction from Gradients.
Abstract
In this paper, we propose a new algorithm to reconstruct optics surfaces (aka wavefronts) from gradients, defined on a circular domain, by means of the Spherical Harmonics. The experimental results indicate that this algorithm renders the same accuracy, compared to the reconstruction based on classical Zernike polynomials, using a smaller number of polynomial terms, which potentially speeds up the wavefront reconstruction. Additionally, we provide an open-source C++ library, released under the terms of the GNU General Public License version 2 (GPLv2), wherein several polynomial sets are coded. Therefore, this library constitutes a robust software alternative for wavefront reconstruction in a high energy laser field, optical surface reconstruction, and, more generally, in surface reconstruction from gradients. The library is a candidate for being integrated in control systems for optical devices, or similarly to be used in ad hoc simulations. Moreover, it has been developed with flexibility in mind, and, as such, the implementation includes the following features: (i) a mock-up generator of various incident wavefronts, intended to simulate the wavefronts commonly encountered in the field of high-energy lasers production; (ii) runtime selection of the library in charge of performing the algebraic computations; (iii) a profiling mechanism to measure and compare the performance of different steps of the algorithms and/or third-party linear algebra libraries. Finally, the library can be easily extended to include additional dependencies, such as porting the algebraic operations to specific architectures, in order to exploit hardware acceleration features.
Year
DOI
Venue
2017
10.3390/s17122780
SENSORS
Keywords
Field
DocType
wavefront reconstruction from gradients,surface reconstruction from gradients,spherical harmonics,zernike-polynomials,algorithm
Surface reconstruction,Linear algebra,Wavefront,Polynomial,Spherical harmonics,Optics,Zernike polynomials,Hardware acceleration,Engineering,Algebraic operation
Journal
Volume
Issue
ISSN
17
12.0
1424-8220
Citations 
PageRank 
References 
1
0.37
0
Authors
5
Name
Order
Citations
PageRank
Juan Manuel Solano-Altamirano110.37
Alejandro Vázquez-Otero210.71
Danila Khikhlukha310.37
R. Dormido49010.76
N. Duro59813.59