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Volume 24, Issue 1
A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns

Carlos Brito-Loeza, Ricardo Legarda-Sáenz, Arturo Espinosa-Romero & Anabel Martin-Gonzalez

DOI: 10.4208/cicp.OA-2017-0109

Commun. Comput. Phys., 24 (2018), pp. 27-43.

Published online: 2018-03

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  • Abstract

We introduce a variational method for demodulating phase maps from fringe patterns. This new method is based on the mean curvature of the level sets ofthe phase surface that is used for regularization. The performance of the method is illustrated with both synthetic and real data.

  • Keywords

Fringe analysis, interferometry, high-order regularization, variational models.

  • AMS Subject Headings

35Q60, 35A15, 65K10, 78M30

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{CiCP-24-27, author = {Brito-Loeza , CarlosLegarda-Sáenz , RicardoEspinosa-Romero , Arturo and Martin-Gonzalez , Anabel}, title = {A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns}, journal = {Communications in Computational Physics}, year = {2018}, volume = {24}, number = {1}, pages = {27--43}, abstract = {

We introduce a variational method for demodulating phase maps from fringe patterns. This new method is based on the mean curvature of the level sets ofthe phase surface that is used for regularization. The performance of the method is illustrated with both synthetic and real data.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0109}, url = {http://global-sci.org/intro/article_detail/cicp/10926.html} }
TY - JOUR T1 - A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns AU - Brito-Loeza , Carlos AU - Legarda-Sáenz , Ricardo AU - Espinosa-Romero , Arturo AU - Martin-Gonzalez , Anabel JO - Communications in Computational Physics VL - 1 SP - 27 EP - 43 PY - 2018 DA - 2018/03 SN - 24 DO - http://doi.org/10.4208/cicp.OA-2017-0109 UR - https://global-sci.org/intro/article_detail/cicp/10926.html KW - Fringe analysis, interferometry, high-order regularization, variational models. AB -

We introduce a variational method for demodulating phase maps from fringe patterns. This new method is based on the mean curvature of the level sets ofthe phase surface that is used for regularization. The performance of the method is illustrated with both synthetic and real data.

Brito-Loeza , CarlosLegarda-Sáenz , RicardoEspinosa-Romero , Arturo and Martin-Gonzalez , Anabel. (2018). A Mean Curvature Regularized Based Model for Demodulating Phase Maps from Fringe Patterns. Communications in Computational Physics. 24 (1). 27-43. doi:10.4208/cicp.OA-2017-0109
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