In this paper we are calculating the fractal dimension of images with irregular objects and also are representing the computation of fractal dimension via Euclidean dimension sets. We have applied box counting algorithm for estimation of fractal dimension for dynamic and iterated functions. Fractal Dimension is a very useful feature for segmentation, classification and analysis in many fields. It is widely used for image processing task of images by using self-similarity property of fractals. Here three different images are used to perform experiments2D greyscale, greyscale apollonian gasket and natural image of a tree.