Fractal dimension which is developed using linear regression method (area)-log(perimeter) gives the overall shape of the landscape patches relating to their internal structure while the individual patch provides the geometrical complexity that can be obtained using the modified definition of fractal dimension. Here we have considered north-western part of Orissa, India as the sampled landscape. The fractal dimension as obtained from linear regression method indicates wasteland and agriculture patches with low fractal value but the forest patches have high fractal dimension, i.e., forest patches are more fragmented compared to the other. The modified definition of fractal dimension gives high values of fractal dimension for all the landscape patches and consequently geometrical complexity is reflected. © 2020, Springer Nature Singapore Pte Ltd.