In this paper, we propose a partial differential equation (PDE) structure that permits an active contour method to obtain intensity inhomogeneous image segmentation.We consider fitted model comprise of local and global energy functions dictated by scaled p-Laplace term acting as a length regularization term. A new local model is formulated by taking bias field into the local fitted model, which improves the performance of the proposed method relatively. The scaled p-Laplace equation exhibited as regularized length term, which is utilized to reduce the impact of noise over level set minimization while guaranteeing the curve not to go through feeble boundaries. Inhomogeneities comprise of unwanted pixel variations called bias field, which changes the consequences of a level set based methods. Thereby, Gaussian distribution is used for the approximation of the bias field and further bias field is used for bias correction likewise. Moreover, local model has been remodeled by integrating bias field inside their local information, similarly, global model is also established on the pretext of local model. At last, we demonstrate the results on some complex images to show the strong and exact segmentation results that are conceivable with this new class of dynamic form active contour model. We have also performed statistical analysis on mammogram images using accuracy, sensitivity and Dice index metrics. Results show that proposed method gets high accuracy, sensitivity and Dice index values compared to previous state of art methods.