3D-model processing plays an important role in numerous applications. In this paper, we present an approach for 3D-model retrieval by creating index of closed curves in R3 generated from the center of a 3D-model, using a commute time mapping function. Our mapping function respects important properties in order to compute robust closed curves. Each curve describes a small region of the 3D-model. To describe all the mesh, we compute a set of indexed closed curves. These curves lead to creates an invariant descriptor to different transformations. Then we compute the distance between models by comparing the indexed curves. In order to evaluate our method, we used shapes from SHREC 2012 database. The results show the robustness of our method on various classes of 3D-models with different positions.