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Methods for the analysis of three-dimensional anatomical surfaces

机译:用于分析三维解剖表面的方法

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摘要

Shape is an inherent feature in everything around us and one that we, as humans, can process very efficiently. The question of how to analyse shape in an objective manner, however, is a more complex one. With continually improving and more readily available imaging technologies, there are an increasing number of fields in which it is of interest to have a more quantitative means of analysing the resulting images. Shape analysis is a rapidly growing branch of statistics that aims to meet these needs. In contrast to the early methods of shape analysis that were based on distances or angles from an object, shape is now generally assessed in terms of the full geometry of the object. This does not necessarily mean an analysis of the object in its entirety however; a simplified representation of the surface is more often used. This representation has traditionally been in the form of a set of landmarks - points of anatomical or mathematical interest on an object that act as key descriptors of its shape. A key feature of these points is therefore that they are in positions that correspond across all images. Clearly this makes them a very powerful tool for analysis, particularly useful for comparison across shapes, and as such many methods have been presented for their analysis. However, due to the fact that they are based on significant anatomical points and are more often than not manually placed on an image, landmark points tend to be fairly small in number. A major disadvantage to this type of approach is therefore that they give a very sparse description of the object of interest's shape. In order to improve on this, alternative methods have been developed that instead present the object in terms of a set of curves or, more recently, representative surface points. These representations give a richer description of shape but, provided they are created so that they also correspond across objects, can equally be analysed by means of the many existing landmark-based techniques. Nevertheless, although a surface-based approach clearly utilises a greater deal of the shape information of an image and hence provides a more comprehensive analysis, it remains a far less common technique for the analysis of shape. This thesis therefore aims to develop tools for the analysis of three-dimensional surface data, with focus lying specifically in the field of medical imaging. Three distinct studies are conducted, each of which has its own questions of interest and hence necessary techniques. The first study presented is based on a cohort of unilateral mastectomy and reconstruction patients, where interest lies in evaluating the breast asymmetry that is present post-surgery. A novel method is presented for the creation of corresponding surface points, and an analysis of these is conducted based on an established approach to the study of asymmetry. The second study then looks to investigate the `normal' patterns of facial growth that are seen in young children, specifically between the ages of 3 months and 5 years. From the multiple, longitudinal images that are available for each child, a set of corresponding surface representations are created by means of a well-established technique known as the Thin Plate Spline. A principal components analysis is then applied to the surfaces in order to reduce the dimensionality of the data, and the resulting principal components scores are modelled by a linear mixed effects approach. The third and final study presented is an investigation into the soft-tissue changes that are seen as a result of craniofacial surgery. A system is devised to index the location of all points on the surface, and this information is then used to model the changes taking place at various positions on the face. While most previous approaches to this problem have been based on complex finite element models, this study aims to investigate whether a simpler and more efficient statistical modelling approach can instead prove useful. The diversity of these studies hints at the wide-ranging applications of shape analysis within the medical imaging field alone, as well as many of the issues that can arise in the analysis of surface data. While it is intuitive that more informed conclusions can be drawn through these surface based analyses than would be possible by a more traditional landmark-based approach, it is also seen that the use of a surface representation allows for an improved visualisation and interpretation of the results. The techniques developed here are illustrated on specific medical applications, although it is hoped that they would prove similarly useful in a wider variety of shape analysis settings.
机译:形状是我们周围一切事物的固有特征,而作为人类,我们可以非常有效地进行加工。然而,如何客观地分析形状的问题是一个更为复杂的问题。随着成像技术的不断改进和更容易获得,人们越来越感兴趣的领域是需要更加定量的方法来分析所得图像。形状分析是统计的一个快速增长的分支,旨在满足这些需求。与基于距对象的距离或角度的早期形状分析方法相比,现在通常根据对象的完整几何形状来评估形状。但是,这不一定意味着要对对象进行整体分析。更经常使用表面的简化表示。传统上,这种表示形式是一组界标的形式-对象上的解剖或数学兴趣点,充当其形状的关键描述符。因此,这些点的关键特征是它们所处的位置对应于所有图像。显然,这使它们成为非常强大的分析工具,对于跨形状的比较特别有用,因此已经提出了许多分析方法。但是,由于它们是基于重要的解剖学点并且通常不是手动放置在图像上,因此界标点的数量往往很少。因此,这种方法的主要缺点是,它们对目标物体的形状给出了非常稀疏的描述。为了对此进行改进,已经开发了替代方法,该替代方法以一组曲线或最近具有代表性的表面点的形式呈现对象。这些表示形式对形状进行了更丰富的描述,但是只要创建它们,以便它们也可以跨对象相对应,就可以使用许多现有的基于地标的技术来同样地对其进行分析。然而,尽管基于表面的方法显然利用了图像的大量形状信息,因此提供了更全面的分析,但是对于形状分析而言,它仍然是一种非常不常见的技术。因此,本论文旨在开发用于分析三维表面数据的工具,重点放在医学成像领域。进行了三个不同的研究,每个研究都有其自己感兴趣的问题,并因此有必要的技术。提出的第一项研究是基于单侧乳房切除术和重建患者的研究,该研究的兴趣在于评估术后出现的乳房不对称性。提出了一种新颖的方法来创建相应的表面点,并基于已建立的不对称性研究方法对这些表面点进行了分析。然后,第二项研究旨在调查在幼儿中,特别是在3个月至5岁之间的面部发育的“正常”模式。从每个孩子可用的多个纵向图像中,借助一种称为“薄板样条线”的成熟技术创建一组相应的表面表示。然后将主成分分析应用于曲面,以减少数据的维数,并通过线性混合效应方法对所得的主成分得分进行建模。提出的第三项也是最后一项研究是对颅面外科手术导致的软组织变化的调查。设计了一种系统来索引曲面上所有点的位置,然后将该信息用于建模在面部各个位置发生的变化。尽管以前解决该问题的大多数方法都基于复杂的有限元模型,但本研究旨在研究一种更简单,更有效的统计建模方法是否可以证明是有用的。这些研究的多样性暗示着形状分析在医学成像领域中的广泛应用,以及在表面数据分析中可能出现的许多问题。尽管可以直观地看出,通过这些基于表面的分析可以得出比基于传统地标的方法更明智的结论,但也可以看出,使用表面表示可以改善结果的可视化和解释。尽管希望它们在更广泛的形状分析设置中同样有用,但在特定的医疗应用中对此处开发的技术进行了说明。

著录项

  • 作者

    Smith Joanna;

  • 作者单位
  • 年度 2012
  • 总页数
  • 原文格式 PDF
  • 正文语种 English
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