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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 24 — Aug. 20, 2013
  • pp: 6016–6021

Framework for gradient integration by combining radial basis functions method and least-squares method

Lei Huang and Anand Krishna Asundi  »View Author Affiliations


Applied Optics, Vol. 52, Issue 24, pp. 6016-6021 (2013)
http://dx.doi.org/10.1364/AO.52.006016


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Abstract

A framework with a combination of the radial basis functions (RBFs) method and the least-squares integration method is proposed to improve the integration process from gradient to shape. The principle of the framework is described, and the performance of the proposed method is investigated by simulation. Improvement in accuracy is verified by comparing the result with the usual RBFs-based subset-by-subset stitching method. The proposed method is accurate, automatic, easily implemented, and robust and even works with incomplete data.

© 2013 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 6, 2013
Revised Manuscript: July 18, 2013
Manuscript Accepted: July 18, 2013
Published: August 19, 2013

Citation
Lei Huang and Anand Krishna Asundi, "Framework for gradient integration by combining radial basis functions method and least-squares method," Appl. Opt. 52, 6016-6021 (2013)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-52-24-6016

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