A Comprehensive Survey of Isocontouring Methods: Applications, Limitations and Perspectives

Algorithms Pub Date : 2024-02-15 DOI:10.3390/a17020083
Keno Jann Büscher, J. P. Degel, J. Oellerich
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Abstract

This paper provides a comprehensive overview of approaches to the determination of isocontours and isosurfaces from given data sets. Different algorithms are reported in the literature for this purpose, which originate from various application areas, such as computer graphics or medical imaging procedures. In all these applications, the challenge is to extract surfaces with a specific isovalue from a given characteristic, so called isosurfaces. These different application areas have given rise to solution approaches that all solve the problem of isocontouring in their own way. Based on the literature, the following four dominant methods can be identified: the marching cubes algorithms, the tessellation-based algorithms, the surface nets algorithms and the ray tracing algorithms. With regard to their application, it can be seen that the methods are mainly used in the fields of medical imaging, computer graphics and the visualization of simulation results. In our work, we provide a broad and compact overview of the common methods that are currently used in terms of isocontouring with respect to certain criteria and their individual limitations. In this context, we discuss the individual methods and identify possible future research directions in the field of isocontouring.
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等轴法综合概览:应用、局限与展望
本文全面概述了根据给定数据集确定等值线和等值面的方法。为此目的,文献中报道了不同的算法,这些算法源于不同的应用领域,如计算机制图或医学成像程序。在所有这些应用中,所面临的挑战都是从给定特征中提取具有特定等值的曲面,即所谓的等值曲面。这些不同的应用领域催生了各种解决方法,它们都以各自的方式解决等值曲面问题。根据文献,可以确定以下四种主要方法:行进立方体算法、基于镶嵌的算法、曲面网算法和光线跟踪算法。就其应用而言,这些方法主要用于医学成像、计算机制图和模拟结果可视化等领域。在我们的工作中,我们根据某些标准和它们各自的局限性,对目前在等值对齐方面使用的常用方法进行了广泛而紧凑的概述。在此背景下,我们讨论了各种方法,并确定了未来在等高线领域可能的研究方向。
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