ON THE VOLUME FROM PLANAR SECTIONS THROUGH A CURVE
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
DOI: 10.5566/ias.v24.p35-40
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