The probability of a random straight line in two and three dimensions
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| Publication date | 1990 |
| Journal | Pattern Recognition Letters |
| Volume | Issue number | 11 | 4 |
| Pages (from-to) | 233-240 |
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| Abstract | Using properties of shift- and rotation-invariance probability density distributions are derived for random straight lines in normal representation. It is found that in two-dimensional space the distribution of normal coordinates (r, phi) is uniform: p(r, phi) = c, where c is a normalisation constant. In three dimensions the distribution is given by: p (r, phi, thèta, ksi) = cr sin thèta. |
| Document type | Article |
| Published at | https://doi.org/10.1016/0167-8655(90)90061-6 |
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