Abstract
In this paper, we present local stereological estimators of Minkowski tensors defined on convex bodies in ℝd. Special cases cover a number of well-known local stereological estimators of volume and surface area in ℝ3, but the general set-up also provides new local stereological estimators of various types of centres of gravity and tensors of rank two. Rank two tensors can be represented as ellipsoids and contain information about shape and orientation. The performance of some of the estimators of centres of gravity and volume tensors of rank two is investigated by simulation.
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Jensen, E.B.V., Ziegel, J.F. Local Stereology of Tensors of Convex Bodies. Methodol Comput Appl Probab 16, 263–282 (2014). https://doi.org/10.1007/s11009-013-9337-8
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DOI: https://doi.org/10.1007/s11009-013-9337-8
Keywords
- Ellipsoidal approximation
- Local stereology
- Minkowski tensors
- Particle shape
- Particle orientation
- Rotational integral geometry