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Construction and Validation of a Statistical 3D Atlas of Human Carpal Bones

Abstract : The wrist is an essential joint, source of the large range of motion of the hand. It is also a complex joint, composed of eight small bones, connected to five metacarpal bones and two forearm bones. The complexity of the joint is not only due to the high number of interconnected bones, but also to the small size of the carpal bones and their elaborate shapes interlocked with each other, that move in an intricate way around each other.In this thesis we are interested in modeling the 3D wrist bone shapes. Not many works on wrist bones modeling have been conducted yet and little data have been collected into databases exploitable for computer models. The latter can be used to take measurements, serve as basis for the creation of automated IT tools, or else be integrated into software for diagnosis support for example. The quality of the results of such applications depends on the quality of the model. We therefore attach a special importance to the validation of our work, while such assessment cannot directly be measured and must be proven by indirect metrics.Interest was taken in tools for the modeling of 3D shapes, especially in techniques of correspondence between 3D meshes. We propose a method to transform raw meshes extracted from CT scans into bones representations with correspondence relations.%It is not trivial to define a resampling procedure, and neither is its quality assessment, to which we pay particular attention.The dense correspondence relations computed make possible many applications, that serve as further validation of the correspondence results. We propose several utilizations. Variability among bones is analyzed with statistical procedures such as the Principal Component Analysis (PCA) and another one based on Gaussian Processes.The registration capacities of the first model are employed for defining correspondence with a second database. We propose a method to easily transfer systems of coordinates or other landmarks from a few example towards the rest of the database, a convenient function for biomechanical wrist motion study. In a last phase, we are concerned with modeling wrist bones motions with a parametric model based on meaningful and easily measurable predictors.
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Emilie Buessler. Construction and Validation of a Statistical 3D Atlas of Human Carpal Bones. Geometric Topology [math.GT]. Université Grenoble Alpes, 2019. English. ⟨NNT : 2019GREAM060⟩. ⟨tel-02950975⟩

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