Abstract
Stereology is at heart a geometric science, using the principles of geometric probability to estimate measures of three-dimensional structures from measurements that can be accessed in lower dimensions using planes, lines and points as probes. There are modern texts in geometrical probability (Kendall & Moran, 1986; Matheron, 1975; Santalo, 1976). However, one of the first areas of study in this field (long predating the use of the name “stereology”) was the calculation of the probabilities of intersection of various probes with objects of specified shape. This has roots back to the Buffon needle problem (18th century) and also involves Bertand’s paradox, with its consideration of what a random probe really entails.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2000 Springer Science+Business Media New York
About this chapter
Cite this chapter
Russ, J.C., Dehoff, R.T. (2000). Geometric Modeling. In: Practical Stereology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1233-2_11
Download citation
DOI: https://doi.org/10.1007/978-1-4615-1233-2_11
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-5453-6
Online ISBN: 978-1-4615-1233-2
eBook Packages: Springer Book Archive