Gaussian radial growth

TY - UNPB

T1 - Gaussian radial growth

AU - Jónsdóttir, Kristjana Ýr

AU - Jensen, Eva B. Vedel

N1 - Published in Image Anal. Stereol. 24, 117-126 (2005)

PY - 2004/8/5

Y1 - 2004/8/5

N2 - The growth of planar and spatial objects is often modelled using one-dimensional size parameters, e.g. volume, area or average radius. 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. Two extensions of the model, involving time series and Lévy bases, respectively, are briefly touched upon.

AB - The growth of planar and spatial objects is often modelled using one-dimensional size parameters, e.g. volume, area or average radius. 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. Two extensions of the model, involving time series and Lévy bases, respectively, are briefly touched upon.

KW - Fourier expansion

KW - Gaussian process

KW - growth pattern

KW - Lévy basis

KW - periodic stationary

KW - radius vector function

KW - shape

KW - star-shaped objects

KW - transformation

M3 - Working paper

BT - Gaussian radial growth

PB - Thiele Centre, Institut for Matematiske Fag, Aarhus Universitet

ER -