Inversion Formula For Generalized Three-Dimensional Fractional Cosine Transform
Keywords:
Fractional cosine transform,Fractional Fourier transform,Image processing.Abstract
The fractional Fourier transform (FRFT) is an extension of the conventional Fourier transform. The fractional cosine transform is strongly associated with the fractional Fourier transform and is now used in optical and signal processing applications. Most often used in the field of image processing, particularly when dealing with compression. This paper describes an extension of the fractional cosine transform in three dimensions. This paper defines the test function space and generalises the 3D fractional cosine transform.
Concurrently, the inverse formula and uniqueness theorem for the 3D fractional cosine transform are established.
References
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