Multi Operator Based Affine Transformation Function for Fractal Image Generation with Minimal Distortion

Abstract

The advancement in image processing is a critical aspect in the domain of digital data transfer over a secure medium. For secure data transfer, new algorithms can be developed by implementing fractals. Generating fractal image requires the use of scaling operator in the conventional affine transformation, which results in distortion of salient objects present in the image.  To overcome image resizing problem associated with conventional affine transformation, this paper proposes a new affine transformation function based on multi-operator scheme, which integrates improved seam carving algorithm with cropping and warping operators. Seam bypassing operation in the proposed algorithm and elimination of scaling operator in proposed affine transformation function optimizes the process of fractal image generation with minimum distortion in ROI. To simplify image retargeting operations, optimized image distance function was used. The optimized image distance function was formulated which combines bidirectional IMED, Dominant Color Descriptor (DCD). Promising results have been presented which demonstrates the effectiveness of the proposed function over the existing affine transformation function.