CSIOR: An Ordered Structured Resampling of Mesh Surfaces

Triangular mesh is one of the most popular 3D modalities which usage spans a wide variety of application in computer vision, computer graphics and multimedia. Raw mesh surfaces generated by 3D scanning devices often suffer from mesh irregularity and also lacks the implicit ordered structure that characterizes 2D images. Therefore they are not suitable to be processed as such, especially for applications requiring fine surface analysis tasks. In this paper, we propose CSIOR, a novel mesh regularization technique exhibiting novel capabilities including a quasi-equilateral triangle tessellation, and structured and ordered tessellation that can accommodate non-convex shaped surfaces, implicit generation of iso-geodesic contours and preservation of the geometric texture on the mesh surface. We evidence the superiority of our technique over current methods through a series of experiments performed on a variety of geometric textured surfaces.