LIMITING FIBONACCI TRANSFORMATION ALGORITHMS FOR PROCESSING IMAGES OBTAINED IN THE IR REGION

This paper considers questions of using the generalized Fibonacci numbers to construct statistical image transformations by means of Fibonacci polynomials and series in the interests of information matching when the images are perceived. It is shown that passing to the limit of the series leads to a representation of the transformation in the form of a contrast transformation that includes the generalized golden section as a variable parameter. An investigation of the characterizing transformation functions and their extremal and boundary representations is carried out. An experimental transformation of IR thermogram images is performed and the images are evaluated in terms of the calculated data