The Relational Shape Measure (https://arxiv.org/abs/2008.03927) is a measuring method to measure the shape of an object or a group of objects as a function to the distance to some reference object. The method uses the Hausdorff measures of all possible intersections of the object and a parameterized dilation of the reference object. That is volume, outer surface area, the surface area of intersection, length of intersection contour.
The Relational Shape Measure (https://link.springer.com/article/10.1007/s10851-021-01041-3) is a measuring method to measure the shape of an object or a group of objects as a function to the distance to some reference object. The method uses the Hausdorff measures of all possible intersections of the object and a parameterized dilation of the reference object. That is volume, outer surface area, the surface area of intersection, length of intersection contour.
### Use Cases
The method can answer questions like:
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### How to use it
To use the method it requires you to have vertices and faces for the two exterior measures and vertices and tetrahedra for the interior measures. It also requires the distance of each vertex to the reference object. These can be generated by something like mesh-to-point algorithms or interpolation from a distance field from a distance transform method. See the examples.py for a few examples on synthetic data.
```@article{stephensen2021measuring,
title={Measuring shape relations using r-parallel sets},
author={Stephensen, Hans JT and Svane, Anne Marie and Villanueva, Carlos B and Goldman, Steven A and Sporring, Jon},
journal={Journal of Mathematical Imaging and Vision},
