Processing the 3D objects is a research field of computer graphics that can be applied in 3D simulation, 3D image processing, game industry, etc. This is one of the mathematics-based research fields where geometrical knowledge is the background of existing methods. Geometric modeling is a branch of this research field based on the applied mathematics and computational geometry. It studies methods and solutions for the mathematical description of shapes or realistic objects in computer science or computer aided design. The rapid development of advanced techniques, like 3D scanners, can be used to support obtaining scanned data of any type of the real objects with different methods and solutions. This article investigates the studies based on the background of geometric modeling for processing the 3D Objects. Our contribution is focused on presentation of a completed method that is an integrated approach consisting of our previously proposed methods to reconstruct the 3D object from a 3D point cloud dataset. The method consists of four main steps, as follows: (1) Obtaining data describing the 3D objects in the real world; (2) Processing and simplifying the obtained data; (3) Reconstructing the 3D objects by filling the holes on the surface; and (4) Meshing and visualizing the 3D objects in the application. The comparison and discussion between the methods have shown the advantages of the proposed method and its application in practice.

处理3D对象是计算机图形学的研究领域，可应用于3D模拟，3D图像处理，游戏行业等。这是基于数学的研究领域之一，其中几何知识是现有方法的背景。几何建模是基于应用数学和计算几何的该研究领域的一个分支。它研究在计算机科学或计算机辅助设计中对形状或现实物体进行数学描述的方法和解决方案。诸如3D扫描仪之类的先进技术的快速发展可用于支持以不同的方法和解决方案获取任何类型的真实对象的扫描数据。本文研究了基于几何建模背景处理3D对象的研究。我们的贡献集中于完成方法的介绍，该方法是一种集成方法，由我们先前提出的从3D点云数据集中重建3D对象的方法组成。该方法包括四个主要步骤，如下：（1）获得描述现实世界中3D对象的数据；（2）处理并简化获得的数据；（3）通过填充表面上的孔来重建3D对象；（4）网格化和可视化应用程序中的3D对象。两种方法的比较和讨论表明了该方法的优点及其在实际中的应用。（1）获取描述现实世界中3D对象的数据；（2）处理并简化获得的数据；（3）通过填充表面上的孔来重建3D对象；（4）网格化和可视化应用程序中的3D对象。两种方法的比较和讨论表明了该方法的优点及其在实际中的应用。（1）获取描述现实世界中3D对象的数据；（2）处理并简化获得的数据；（3）通过填充表面上的孔来重建3D对象；（4）网格化和可视化应用程序中的3D对象。两种方法的比较和讨论表明了该方法的优点及其在实际中的应用。