Triangular mesh is one of the most popular 3D modalities, which usage spans a wide variety of applications in computer vision, computer graphics and multimedia. Raw mesh surfaces generated by 3D scanning devices often suffer from mesh irregularity and also lack 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 and ordered tessellation that can accommodate non-convex shaped surfaces, (b) implicit generation of iso-geodesic contours, and (c) preservation of the object geometric properties, such as shape and surface corrugations (relief patterns). We evidence the superiority of our technique over current methods through a series of experiments performed on a variety of surfaces with relief patterns.

三角网格是最流行的3D形式之一，其用法涵盖了计算机视觉，计算机图形学和多媒体中的多种应用。由3D扫描设备生成的原始网格表面经常遭受网格不规则的困扰，并且也缺乏表征2D图像的隐式有序结构。因此，它们不适合如此处理，特别是对于需要精细表面分析任务的应用程序。在本文中，我们提出CSIOR，这是一种新颖的网格正则化技术，具有新颖的功能，包括（a）准等边三角形和可以容纳非凸形曲面的有序曲面细分，（b）等大地波轮廓的隐式生成，以及）保留对象的几何属性，例如形状和表面波纹（浮雕图案）。