### Abstract

A theorem about level crossings of signals that may be relevant for theories of stereo matching is discussed. It is concerned with the level crossings and the size of the Panum fusional area. The Panum area is the disparity range over which stereo fusion is possible, more precisely is the disparity range over which no false matches occur. Rice's theorem about expected distribution of zero crossings provides a formula on how far to go before a false match can be expected. The probability of false matches decreases with increasing level of level crossings. A generalization for level crossings of the results for zero crossing is obtained and an explicit formula for the level that insures a k-fold increase of Panum fusional area is derived. The formula connects the autocorrelation function of the signal with the probability of a level crossing next to a given one. It is shown that computing level crossing can be useful tool for edge detection.

Original language | English (US) |
---|---|

Title of host publication | Unknown Host Publication Title |

Publisher | IEEE |

Pages | 211-214 |

Number of pages | 4 |

ISBN (Print) | 0818607793 |

State | Published - 1987 |

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### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Unknown Host Publication Title*(pp. 211-214). IEEE.

**LEVEL CROSSINGS AND THE PANUM AREA.** / Geiger, Davi; Poggio, Tomaso.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Unknown Host Publication Title.*IEEE, pp. 211-214.

}

TY - GEN

T1 - LEVEL CROSSINGS AND THE PANUM AREA.

AU - Geiger, Davi

AU - Poggio, Tomaso

PY - 1987

Y1 - 1987

N2 - A theorem about level crossings of signals that may be relevant for theories of stereo matching is discussed. It is concerned with the level crossings and the size of the Panum fusional area. The Panum area is the disparity range over which stereo fusion is possible, more precisely is the disparity range over which no false matches occur. Rice's theorem about expected distribution of zero crossings provides a formula on how far to go before a false match can be expected. The probability of false matches decreases with increasing level of level crossings. A generalization for level crossings of the results for zero crossing is obtained and an explicit formula for the level that insures a k-fold increase of Panum fusional area is derived. The formula connects the autocorrelation function of the signal with the probability of a level crossing next to a given one. It is shown that computing level crossing can be useful tool for edge detection.

AB - A theorem about level crossings of signals that may be relevant for theories of stereo matching is discussed. It is concerned with the level crossings and the size of the Panum fusional area. The Panum area is the disparity range over which stereo fusion is possible, more precisely is the disparity range over which no false matches occur. Rice's theorem about expected distribution of zero crossings provides a formula on how far to go before a false match can be expected. The probability of false matches decreases with increasing level of level crossings. A generalization for level crossings of the results for zero crossing is obtained and an explicit formula for the level that insures a k-fold increase of Panum fusional area is derived. The formula connects the autocorrelation function of the signal with the probability of a level crossing next to a given one. It is shown that computing level crossing can be useful tool for edge detection.

UR - http://www.scopus.com/inward/record.url?scp=0023588580&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0023588580&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0023588580

SN - 0818607793

SP - 211

EP - 214

BT - Unknown Host Publication Title

PB - IEEE

ER -