An improved approach of estimating fractal dimension by partition iterated function system (PIFS) is proposed

which is used to analyze the different texture surfaces of bone marrow granulocytic cell nuclei in the different maturation stages. Based on contractive affine transformations

a PIFS for cell nucleus gray-level image is constructed

scale coefficients

domain factors and a scale factor are obtained from PIFS and used to calculate the fractal dimension. In this paper

the evolution of computational methods of domain factor and scale coefficient is used to overcome fractal dimensions overestimated. In order to testify the validity of the proposed method

there are 60 images of different types of cell nuclei to be applied to the experiment. The results show that fractal parameters obtained by our method are able to differentiate with the different types of cell nucleus texture surfaces efficiently

they can be used to the recognition of cells as new features.