| Studying stereology helps give the reader a new perspective on the space around us. We have two eyes that individually see only in two dimensions. We can imagine things in three dimensions, four dimensions and even higher dimensions if we are string theorists. But we really can only see in two dimensions. Even with binocular perspective all we can see are two two-dimensional images. [ The theory of binocular perspective is introduced in Chapter 1 on page 22. As a computational method it is titled "photogrammetry".] Binocular perspective does not really free us from the two-dimensional prison in which we live, but it helps. Stereology is the spatial science that contains computational methods to help us measure quantities in higher dimensionalities from only one or two-dimensional views. | ||
| Stereology also explores the meaning of patterns. Patterns may be seem random yet be oriented, have a curvature per area or volume, defining covariances etc. These properties and more can be measured. | ![]() Bertrand's paradox (p. 101) questions what does "random" mean in geometry. |
Stereology is full of interesting problems that await solution. There are also fun problems in the book. They relate to the statistics of encounter when there is motion. |
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