Directional statistics and shape analysis

K. V. Mardia

Journal of Applied Statistics, 1999, vol. 26, issue 8, 949-957

Abstract: This paper highlights distributional connections between directional statistics and shape analysis. In particular, we provide a test of uniformity for highly dispersed shapes, using the standard techniques of directional statistics. We exploit the isometric transformation from triangular shapes to a sphere in three dimensions, to provide a rich class of shape distributions. A link between the Fisher distribution and the complex Bingham distribution is re-examined. Some extensions to higher-dimensional shapes are outlined.

Date: 1999
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DOI: 10.1080/02664769921954

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