Abstract

Polarimetric measurements are becoming increasingly accurate and fast to perform in modern applications. However, analysis on the polarimetric data usually suffers from its high-dimensional nature spatially, temporally, or spectrally. This paper associates polarimetric techniques with metric learning algorithms, namely, polarimetric learning, by introducing a distance metric learning method called Siamese network that aims to learn good distance metrics of algal Mueller matrix images in low-dimensional feature spaces. As an experimental example, 12,162 Mueller matrix images of eight algal species are measured via a forward Mueller matrix microscope. Eight classical metric learning algorithms, including principle component analysis, multidimensional scaling, isometric feature mapping, t-distributed stochastic neighbor embedding, Laplacian eigenmaps, locally linear embedding, linear discriminant analysis, and metric learning to rank, are considered, by which the algal Mueller matrix images are mapped to two-dimensional (2D) feature spaces with different distance metrics. Support-vector-machine-based holdout sample classification accuracies of the 2D feature vectors are provided in a supervised manner for quantitative comparisons of the low-dimensional distance metrics, including the results of the eight metric learning algorithms and 16 Siamese architectures with varying convolution, inception, and full connection modules. This study shows that the Siamese approach is an effective metric learning algorithm that can adaptively extract features exhibiting empirical correlations with the fast-axis-orientation-dependent and spatially variant algal retardance induced by the algal microstructures.

© 2018 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Classification of morphologically similar algae and cyanobacteria using Mueller matrix imaging and convolutional neural networks

Xianpeng Li, Ran Liao, Jialing Zhou, Priscilla T. Y. Leung, Meng Yan, and Hui Ma
Appl. Opt. 56(23) 6520-6530 (2017)

Binary classification of Mueller matrix images from an optimization of Poincaré coordinates

Meredith K. Kupinski, Jaden Bankhead, Adriana Stohn, and Russell Chipman
J. Opt. Soc. Am. A 34(6) 983-990 (2017)

Mueller polarimetric imaging of biological tissues: classification in a decision-theoretic framework

Christian Heinrich, Jean Rehbinder, André Nazac, Benjamin Teig, Angelo Pierangelo, and Jihad Zallat
J. Opt. Soc. Am. A 35(12) 2046-2057 (2018)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Figures (7)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Equations (3)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription

Metrics

You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA Member Subscription