English

Hyperspectral holography and spectroscopy: computational features of inverse discrete cosine transform

Numerical Analysis 2019-10-09 v1 Computer Vision and Pattern Recognition Numerical Analysis

Abstract

Broadband hyperspectral digital holography and Fourier transform spectroscopy are important instruments in various science and application fields. In the digital hyperspectral holography and spectroscopy the variable of interest are obtained as inverse discrete cosine transforms of observed diffractive intensity patterns. In these notes, we provide a variety of algorithms for the inverse cosine transform with the proofs of perfect spectrum reconstruction, as well as we discuss and illustrate some nontrivial features of these algorithms.

Keywords

Cite

@article{arxiv.1910.03013,
  title  = {Hyperspectral holography and spectroscopy: computational features of inverse discrete cosine transform},
  author = {Vladimir Katkovnik and Igor Shevkunov and Karen Egiazarian},
  journal= {arXiv preprint arXiv:1910.03013},
  year   = {2019}
}

Comments

20 pages, 9 figures