Comparison of DAT with DCT in a Viewpoint of Current Image Processing and Analysis Trends

Digital images are a type of data that has many applications. There are many constructive tools for their analysis and processing. In particular, various discrete transforms are used in order to get useful data features. Here, discrete atomic transform (DAT) and discrete cosine transform (DCT), which are discrete data transforms based, respectively, on atomic and trigonometric functions, are compared in a viewpoint of current image processing and analysis trends. Nowadays, due to a combination of challenges, it is of particular importance to develop such algorithms that provide data compression and protection features in combination with artificial intelligence oriented format. For different reasons, in particular functional properties, application of such non-classic tools as atomic functions to solving this problem seems to be promising. Trigonometric functions are widely used in image processing and can be de-facto considered as a standard. In this research, we provide a comprehensive comparison of DAT and DCT using different criteria, as well as discuss their strengths and weaknesses in the context of the problem considered.