Estimating the surface area of nonconvex particles from central planar sections
local stereology
0301 basic medicine
2. Zero hunger
0303 health sciences
03 medical and health sciences
invariator principle
surface area
Morse type surface area estimator
area tangent count
DOI:
10.1111/jmi.12136
Publication Date:
2014-05-16T09:17:09Z
AUTHORS (3)
ABSTRACT
SummaryIn this paper, we present a new surface area estimator in local stereology. This new estimator is called the ‘Morse‐type surface area estimator’ and is obtained using a two‐stage sampling procedure. First a plane section through a fixed reference point of a three‐dimensional structure is taken. In this section plane, a modification of the area tangent count method is used. The Morse‐type estimator generalizes Cruz‐Orive's pivotal estimator for convex objects to nonconvex objects. The advantages of the Morse‐type estimator over existing local surface area estimators are illustrated in a simulation study. The Morse‐type estimator is well suited for computer‐assisted confocal microscopy and we demonstrate its practicability in a biological application: the surface area estimation of the nuclei of giant‐cell glioblastoma from microscopy images. We also present an interactive software that allows the user to efficiently obtain the estimator.
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