کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1146476 957512 2010 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exploring uses of persistent homology for statistical analysis of landmark-based shape data
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
Exploring uses of persistent homology for statistical analysis of landmark-based shape data
چکیده انگلیسی

A method for the use of persistent homology in the statistical analysis of landmark-based shape data is given. Three-dimensional landmark configurations are used as input for separate filtrations, persistent homology is performed, and persistence diagrams are obtained. Groups of configurations are compared using distances between persistence diagrams combined with dimensionality reduction methods. A three-dimensional landmark-based data set is used from a longitudinal orthodontic study, and the persistent homology method is able to distinguish clinically relevant treatment effects. Comparisons are made with the traditional landmark-based statistical shape analysis methods of Dryden and Mardia, and Euclidean Distance Matrix Analysis.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 101, Issue 9, October 2010, Pages 2184–2199
نویسندگان
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