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Markov speckle for efficient random bit generation.

Publication ,  Conference
Horstmeyer, R; Chen, RY; Judkewitz, B; Yang, C
Published in: Optics express
November 2012

Optical speckle is commonly observed in measurements using coherent radiation. While lacking experimental validation, previous work has often assumed that speckle's random spatial pattern follows a Markov process. Here, we present a derivation and experimental confirmation of conditions under which this assumption holds true. We demonstrate that a detected speckle field can be designed to obey the first-order Markov property by using a Cauchy attenuation mask to modulate scattered light. Creating Markov speckle enables the development of more accurate and efficient image post-processing algorithms, with applications including improved de-noising, segmentation and super-resolution. To show its versatility, we use the Cauchy mask to maximize the entropy of a detected speckle field with fixed average speckle size, allowing cryptographic applications to extract a maximum number of useful random bits from speckle images.

Duke Scholars

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

November 2012

Volume

20

Issue

24

Start / End Page

26394 / 26410

Related Subject Headings

  • Pattern Recognition, Automated
  • Optics
  • Models, Biological
  • Markov Chains
  • Image Interpretation, Computer-Assisted
  • Image Enhancement
  • Humans
  • Entropy
  • Computer Simulation
  • Algorithms
 

Citation

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Horstmeyer, R., Chen, R. Y., Judkewitz, B., & Yang, C. (2012). Markov speckle for efficient random bit generation. In Optics express (Vol. 20, pp. 26394–26410). https://doi.org/10.1364/oe.20.026394
Horstmeyer, Roarke, Richard Y. Chen, Benjamin Judkewitz, and Changhuei Yang. “Markov speckle for efficient random bit generation.” In Optics Express, 20:26394–410, 2012. https://doi.org/10.1364/oe.20.026394.
Horstmeyer R, Chen RY, Judkewitz B, Yang C. Markov speckle for efficient random bit generation. In: Optics express. 2012. p. 26394–410.
Horstmeyer, Roarke, et al. “Markov speckle for efficient random bit generation.Optics Express, vol. 20, no. 24, 2012, pp. 26394–410. Epmc, doi:10.1364/oe.20.026394.
Horstmeyer R, Chen RY, Judkewitz B, Yang C. Markov speckle for efficient random bit generation. Optics express. 2012. p. 26394–26410.
Journal cover image

Published In

Optics express

DOI

EISSN

1094-4087

ISSN

1094-4087

Publication Date

November 2012

Volume

20

Issue

24

Start / End Page

26394 / 26410

Related Subject Headings

  • Pattern Recognition, Automated
  • Optics
  • Models, Biological
  • Markov Chains
  • Image Interpretation, Computer-Assisted
  • Image Enhancement
  • Humans
  • Entropy
  • Computer Simulation
  • Algorithms