Skeletons, Object Shape, Statistics.

IF 2.4 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS Frontiers in Computer Science Pub Date : 2022-10-01 DOI:10.3389/fcomp.2022.842637
Stephen M Pizer, J S Marron, James N Damon, Jared Vicory, Akash Krishna, Zhiyuan Liu, Mohsen Taheri
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引用次数: 4

Abstract

Objects and object complexes in 3D, as well as those in 2D, have many possible representations. Among them skeletal representations have special advantages and some limitations. For the special form of skeletal representation called "s-reps," these advantages include strong suitability for representing slabular object populations and statistical applications on these populations. Accomplishing these statistical applications is best if one recognizes that s-reps live on a curved shape space. Here we will lay out the definition of s-reps, their advantages and limitations, their mathematical properties, methods for fitting s-reps to single- and multi-object boundaries, methods for measuring the statistics of these object and multi-object representations, and examples of such applications involving statistics. While the basic theory, ideas, and programs for the methods are described in this paper and while many applications with evaluations have been produced, there remain many interesting open opportunities for research on comparisons to other shape representations, new areas of application and further methodological developments, many of which are explicitly discussed here.

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骨架,对象形状,统计。
3D和2D中的对象和对象复合体有许多可能的表示。其中,骨架表示有其独特的优点,也有一定的局限性。对于称为“s-reps”的骨骼表示的特殊形式,这些优点包括表示板状对象种群和这些种群的统计应用程序的强大适用性。如果认识到s-代表存在于弯曲的形状空间中,那么完成这些统计应用程序是最好的。在这里,我们将列出s-代表的定义,它们的优点和局限性,它们的数学性质,将s-代表拟合到单对象和多对象边界的方法,测量这些对象和多对象表示的统计数据的方法,以及涉及统计的此类应用的示例。虽然本文描述了这些方法的基本理论、思想和程序,并且已经产生了许多带有评估的应用程序,但在与其他形状表示的比较、新的应用领域和进一步的方法发展方面,仍有许多有趣的开放研究机会,其中许多在这里被明确讨论。
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来源期刊
Frontiers in Computer Science
Frontiers in Computer Science COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.30
自引率
0.00%
发文量
152
审稿时长
13 weeks
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