Please use this identifier to cite or link to this item: https://scholarhub.balamand.edu.lb/handle/uob/3409
Title: Combined DCT-HAAR transforms for image compression
Authors: Saliba, Mireille
Farah, Rachelle
Advisors: Dagher, Issam 
Subjects: Image compression
Issue Date: 2016
Abstract: 
Discrete Cosine Transform (DCT) and Haar wavelet transform are very important transforms in image compression. While DCT works extremely well for highly correlated data, the Haar transform gives superior results for images exhibiting rapid gradient variations. The objective of this project is to combine the advantages of these 2 transforms into one transform in order to get better peak-signal-to-noise-ratio (PSNR) and keeping good compression ratio. Following the JPEG, our first approach was to apply separately on each 8x8 block the Haar and the DCT transforms. A signaling bit along the transform which gave better PSNR are quantized and transmitted. This approach gave better PSNR than each one separately. Our second approach was to construct a new hybrid transform which is a combination of these 2 transforms. We mixed both DCT and Haar transforms into one transform. We derived the new transform coding formulas. Our last approach was to divide the image into non-equal size blocks based on a modification of the quadtree decomposition. We applied our hybrid transform on each block obtained. Results show that our approach outperforms the existing DCT and Haar methods, keeping good quality of the image even for high compression ratios, giving a higher PSNR than DCT for the same compression ratio, and permitting better edge recovery than the Haar transform.
Description: 
Includes bibliographical references (p. 57-58).

Supervised by Dr. Issam Dagher.
URI: https://scholarhub.balamand.edu.lb/handle/uob/3409
Rights: This object is protected by copyright, and is made available here for research and educational purposes. Permission to reuse, publish, or reproduce the object beyond the personal and educational use exceptions must be obtained from the copyright holder
Ezproxy URL: Link to full text
Type: Project
Appears in Collections:UOB Theses and Projects

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