基于图像的Fermat数变换的研究

his paper analyzes the property of FNT, the characteristics of Kernel Matrixes and the relationship between Kernel Matrixes of two-dimensional Fermat number transform whose modulus are odd prime and image data, and presents and proves the deduction of the theorem which demonstrates the relationship among different transform matrixes corresponding to different roots of unity under the same odd prime modulus of FNT, and reveals the essence of FNT whose modulus are odd prime. This deduction establishes the theory foundation for selection of unity roots when constructing discrete image data, and provides the corresponding theory for applying Fermat number transforms in image processing and other fields further.