Image compression ratio enhancement based on conformal mapping

The main goal of compression is to reduce the amount of data required to represent a digital image. Conformal mapping has long been an important topic in complex analysis. In this paper, the proposed image compression technique based on conformal mapping transformation is introduced. The most recent standard compression technique, JPEG2000 compression algorithm, is used. The proposed technique is tested with various images types. Two categories of image compression techniques (lossless and lossy) and with/without conformal mapping are studied. The experimental results show that the compression ratio improves by 14% in average, and in case lossy image compression using JPEG2000 image quality gains over 2 dB in average.