GAUSSIAN RADIAL GROWTH

Authors

  • Kristjana Ỷr Jónsdóttir
  • Eva B Vedel Jensen

DOI:

https://doi.org/10.5566/ias.v24.p117-126

Keywords:

Fourier expansion, Gaussian process, growth pattern, periodic stationary, radius vector function, shape, star-shaped objects, transformation

Abstract

The growth of planar and spatial objects is often modelled using one-dimensional size parameters, e.g., volume, area or average width. We take a more detailed approach and model how the boundary of a growing object expands in time. We mainly consider star-shaped planar objects. The model can be regarded as a dynamic deformable template model. The limiting shape of the object may be circular but this is only one possibility among a range of limiting shapes. An application to tumour growth is presented. A 3D version of the model is presented and an extension of the model, involving time series, is briefly touched upon.

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Published

2011-05-03

Issue

Section

Original Research Paper

How to Cite

Jónsdóttir, K. Ỷr, & Jensen, E. B. V. (2011). GAUSSIAN RADIAL GROWTH. Image Analysis and Stereology, 24(2), 117-126. https://doi.org/10.5566/ias.v24.p117-126