Mathematics Behind Image Compression

Image Compression : The Mathematics of JPEG 2000

We briefly review the mathematics in the coding engine of JPEG 2000, a state-of-the-art image compression system. We focus in depth on the transform, entropy coding and bitstream assembler modules. Our goal is to present a general overview of the mathematics underlying a state of the art scalable image compression technology.

Mathematics behind Fuzzy Logic

Fuzzy set theoretical approach to numerous problems of applied mathematics and, especially, fuzzy logical analysis of those problems become frequent in the modern mathematical modelling of the real world. It is desirable to offer the mathematically oriented reader a summary of the background of the principles of fuzzy logic in a lucid and compact form. The referred book aims to offer such summa...

MEDICAL IMAGE COMPRESSION: A REVIEW

Within recent years the use of medical images for diagnosis purposes has become necessity. The limitation in transmission and storage space also growing size of medical images has necessitated the need for efficient method, then image Compression is required as an efficient way to reduces irrelevant and redundancy of the image data in order to be able to store or transmits data. It also reduces...

Greece Meets Japan: The Mathematics behind Origami

Medical Image Compression Based on Region of Interest

Medical images show a great interest since it is needed in various medical applications. In order to decrease the size of medical images which are needed to be transmitted in a faster way; Region of Interest (ROI) and hybrid lossless compression techniques are applied on medical images to be compressed without losing important data. In this paper, a proposed model will be presented and assessed...