ON THE VOLUME FROM PLANAR SECTIONS THROUGH A CURVE

Ximo Gual-Arnau

doi:10.5566/ias.v24.p35-40

ON THE VOLUME FROM PLANAR SECTIONS THROUGH A CURVE

Authors

Ximo Gual-Arnau

DOI:

https://doi.org/10.5566/ias.v24.p35-40

Keywords:

Cavalieri, curve, planar sections, space form, unbiased estimator, volume

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.

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Published

2011-05-03

How to Cite

Gual-Arnau, X. (2011). ON THE VOLUME FROM PLANAR SECTIONS THROUGH A CURVE. Image Analysis and Stereology, 24(1), 35–40. https://doi.org/10.5566/ias.v24.p35-40