2019/10/04 by Vladimir Katkovnik, Katkovnik, Vladimir, Igor Shevkunov +3
Computer Science · Mathematics · #Computer Vision and Pattern Recognition (cs.CV) #FOS: Computer and information sciences #FOS: Mathematics #Numerical Analysis (math.NA) #cs.CV #cs.NA #math.NA
paper · pdf · doi:10.48550/arxiv.1910.03013
20 pages, 9 figures
arxiv created 2019/10/04 · arxiv updated 2019/10/09
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.