Details

Autor(en) / Beteiligte

• Hobolth, Asger

Titel

The spherical deformation model

Ist Teil von

• Biostatistics (Oxford, England), 2003-10, Vol.4 (4), p.583-595

Ort / Verlag

England: Oxford Publishing Limited (England)

Erscheinungsjahr

2003

Link zum Volltext

Quelle

MEDLINE

Beschreibungen/Notizen

• Miller et al. (1994) describe a model for representing spatial objects with no obvious landmarks. Each object is represented by a global translation and a normal deformation of a sphere. The normal deformation is defined via the orthonormal spherical-harmonic basis. In this paper we analyse the spherical deformation model in detail and describe how it may be used to summarize the shape of star-shaped three-dimensional objects with few parameters. It is of interest to make statistical inference about the three-dimensional shape parameters from continuous observations of the surface and from a single central section of the object. We use maximum-likelihood-based inference for this purpose and demonstrate the suggested methods on real data.