Volume tensor of pheasant brain compartments estimated by Fakir probe

TL;DR

This paper introduces a Fakir probe-based method to estimate the volume tensor of pheasant brain compartments, enabling shape and orientation analysis from 3D data with reduced manual effort.

Contribution

It presents a novel application of the Fakir probe for shape estimation of complex biological structures, with theoretical variance analysis for precision assessment.

Findings

Successfully measured shape and orientation changes during development

Demonstrated reduced workload compared to full segmentation

Provided theoretical framework for estimate precision

Abstract

The volume tensor provides robust estimate of object shape and orientation in space. The tensor is estimated from 3D data set by the Fakir probe, an interactive method using intersections of the objects boundary with a virtual lines. The method thus can be applied to objects that cannot be segmented automatically. Marking the intersections instead of segmenting the whole object reduces the workload required for obtaining sufficiently precise results. We present theoretical results on the variance of estimate of integrals by systematic sampling that enable calculation of the shape estimate precision. To demonstrate the ability of Fakir technique, we measure the changes in shape and orientation of pheasant brain compartments during development.