### Abstract

A new method for estimating the mean length of line
segments observed through a square shaped sampling window
is introduced. The largest advantage of the method is
that there is no need to measure the exact lengths of the
segments. The method is based on the ratio of two biased
intensity estimates obtained from minus- and
plus-sampling. This method is applied for estimating the
mean length of the fibres of nanocellulose from an AFM
image.

Original language | English |
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Publication status | Published - 2013 |

MoE publication type | Not Eligible |

Event | 11th European Congress of Stereology and Image Analysis - Kaiserslautern, Germany Duration: 9 Jul 2013 → 12 Jul 2013 |

### Conference

Conference | 11th European Congress of Stereology and Image Analysis |
---|---|

Country | Germany |

City | Kaiserslautern |

Period | 9/07/13 → 12/07/13 |

### Keywords

- AFM image
- Boolean model
- mean length
- minus-sampling
- nanocellulose
- plus-sampling

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## Cite this

Niilo-Rämä, M., Kärkkäinen, S., Gasbarra, D., & Lappalainen, T. (2013).

*Inclusion ratio based estimator for the mean length of the Boolean line segment model applied to nanocellulose*. 11th European Congress of Stereology and Image Analysis, Kaiserslautern, Germany.