ON THE VOLUME FROM PLANAR SECTIONS THROUGH A CURVE

Ximo Gual-Arnau

Abstract


We derive a formula to obtain the volume of a compact domain from planar sections through a curve. From this formula we propose a stereological estimator for the volume which generalizes some known unbiased estimators which use a systematic sampling scheme. Moreover we formulate a Cavalieri's principle for compact domains is spaces of constant curvature λ.

Keywords
Cavalieri; curve; planar sections; space form; unbiased estimator; volume

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DOI: 10.5566/ias.v24.p35-40

Image Analysis & Stereology
EISSN 1854-5165 (Electronic version)
ISSN 1580-3139 (Printed version)