Abstract
In this paper we propose a flexible continuous parametric shape model for star-shaped planar objects. The model is based on a polar Fourier expansion of the normalized radius-vector function. The expected phase amplitudes are modelled by a simple regression with parameters having nice geometric interpretations. The suggestedgeneralized p-order model is an extension of first- and second-order Gaussian shape models, and in particular the Gaussian assumption is relaxed. The statistical analysis is straightforward, as demonstrated by an application concerning shape discrimination of two cell nuclei populations.
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Hobolth, A., Pedersen, J. & Jensen, E.B.V. A continuous parametric shape model. Ann Inst Stat Math 55, 227–242 (2003). https://doi.org/10.1007/BF02530496
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DOI: https://doi.org/10.1007/BF02530496