Effect of Noise in Estimation of Fractal Dimension of Digital Images

In present paper the effect of noise on fractal dimension of digital images has been tested. Since fractal dimension is a measure of texture which is property of neighbourhood, it is interesting to check how noise affects the values of fractal dimension. For this purpose, three standard digital images have been used and Gaussian noise, salt and pepper noise and speckle noise have been applied to these images to generate noisy images. The fractal dimension values of actual images and noisy images have been estimated and compared. Various aspects related to the estimation of fractal dimension of digital images are discussed for noisy and non-noisy images. Since variation of noise makes sense for a local window in which fractal dimension is estimated, it is required to observe the noise effect in the window.