| This thesis studies the statistics of natural images. It contains two chapters. Chapter 1 is on the scale invariance, a mysterious property of natural images. Chapter 2 is on the compression related to statistics of natural images.;Chapter 1 explores evidence of scale invariance of natural images, and explains why natural images have this nice property.;Chapter 2 studies an image compression algorithm "LOCO", and establishes some useful properties of residual entropy, which can provide a more efficient compression. |
