A Method of Micro-Geometric Details Preserving in Surface Reconstruction from Gradient

Surface from gradient (SfG) is one of the fundamental methods to densely reconstruct 3D object surface in computer vision. However, the reconstruction of micro-geometric details has not been satisfactorily solved in existing SfG methods due to their non-integrability. In this paper, we present an effective discrete geometric approach to reconstruct fine-grained sharp surface feature with non-integrability. Specifically, We investigate the fine-grained structure of surfaces in the micro geometry domain. based on an adaptive projection on vertexes constrained by neighboring gradient vectors, and develop a gradient angle-guided energy optimization to generate a fine-grained surface. Experimental results on various challenging synthetic and real-world data show that the proposed method is able to effectively reconstruct challenging micro-geometric details for general SfG methods.