The growth patterns of mammary fat pads and glandular tissues inside the fat pads may be related with the risk factors of breast cancer. Quantitative measurements of this relationship are available after segmentation of mammary pads and glandular tissues. Rat fat pads may lose continuity along image sequences or adjoin similar intensity areas like epidermis and subcutaneous regions. A new approach for automatic tracing and segmentation of fat pads in magnetic resonance imaging (MRI) image sequences is presented, which does not require that the number of pads be constant or the spatial location of pads be adjacent among image slices. First, each image is decomposed into cartoon image and texture image based on cartoon-texture model. They will be used as smooth image and feature image for segmentation and for targeting pad seeds, respectively. Then, two-phase direct energy segmentation based on Chan-Vese active contour model is applied to partitioning the cartoon image into a set of regions, from which the pad boundary is traced iteratively from the pad seed. A tracing algorithm based on scanning order is proposed to accurately trace the pad boundary, which effectively removes the epidermis attached to the pad without any post processing as well as solves the problem of over-segmentation of some small holes inside the pad. The experimental results demonstrate the utility of this approach in accurate delineation of various numbers of mammary pads from several sets of MRI images.