Research & Reviews: Discrete Mathematical Structures

Image Compression via Non-separable Discrete Fractional Fourier Transform

  1. Kritika Mittal

Abstract

The main idea behind image compression is to reduce the bandwidth for transmission and required space for storage. Thus, image compression is of great importance. In this paper we present the image compression technique using Non-Separable Discrete Fractional Fourier Transform (NSDFrFT). Numerical simulation results suggested that image compression method using NSDFrFT as transform technique gives better performance for images when compression ratio is high in comparison to DFrFT and JPEG. Different image quality measurement methods such as Gradient Magnitude Similarity Deviation (GMSD), Mean Structural Similarity Index Measure (MSSIM), Mean Squared Error (MSE) and Peak Signal to Noise Ratio (PSNR) are used to determine the performance.Cite this ArticleKritika Mittal. Image Compression via Non-Separable Discrete Fractional Fourier Transform. Research & Reviews: Discrete Mathematical Structures. 2015; 2(3): 1–9p.

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