The Sulcal Depth is an important morphological feature with a high potential for analyzing brain development and detect pathologies in neonatal brains.However, the definition of the sulcal depth is an open question. There is no consensus how to compute it. First, we introduce a new framework that defines the anatomical coherence and relevance of sulcal depth. Then, we improve the DPF method Here, we propose a new method that minimizes spatial bias due to regions with high concavity and show an improvement compared to the widely used method Sulc from the sofware Freesurfer.