Attractor image coding using lapped partitioned iterated function systems

The usual attractor coding technique is to partition a given image into a number of non-overlapping range blocks. Each block of the partition is expressed as the contractive transformation of another part of the image. However, the non-overlapping partitioning induces blocking artifacts which is highly disturbing to the human visual system. In this work, a novel coding scheme using iterated function systems with lapped range blocks (LPIFS) is proposed. Each range block laps with its adjacent blocks through a weighing window which has diminishing magnitudes towards its borders. In order to avoid blurring of image details, the transformation parameters are computed such that the aliasing error is compensated. The contractivity of the proposed transformation is also proved. Experiments show a very significant improvement of the visual quality of the decoded images with nearly no loss in image details