Abstract
In this paper, an existing approximation of discrete linear canonical transform (DLCT) is analyzed, and constraints are derived to fulfill some paramount properties as inversibility and additivity or the possibility to perform classical image operations in the frequency domain as image filtering. Giving some special values to the DLCT parameters and taking advantage of the division of the image spectrum in four zones of different significance, an application of image feature classifications is successfully investigated. Also, the required constraints are obtained to determine the suitability of the selected approximation when working with digital images.
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Data availability
Data underlying the results are publically available in [30,31].
30. P. Brodatz, “Rotated Texture Database, Signal and Image Processing Institute, University of Southern California,” 1977, https://sipi.usc.edu/database/database.php?volume=rotate.
31. R. Picard, C. Graczyk, S. Mann, J. Wachman, L. Picard, and L. Campbell, “Vision Texture Database, Media Laboratory, Massachusetts Institute of Technology (MIT),” 2009. Available at https://vismod.media.mit.edu/vismod/imagery/VisionTexture/vistex.html.
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