### Abstract

We present an algorithm for scale-space clustering of point cloud on the sphere using the methodology for the estimation of the density distribution of the points in the linear scale space. Our algorithm regards the union of observed point sets as an image defined by the delta functions located at the positions of the points on the sphere. A blurred version of this image has a deterministic structure which qualitatively represents the density distribution of the points in a point cloud on a manifold.

Original language | English |
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Title of host publication | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |

Pages | 417-424 |

Number of pages | 8 |

Volume | 8047 LNCS |

Edition | PART 1 |

DOIs | |

Publication status | Published - 2013 |

Event | 15th International Conference on Computer Analysis of Images and Patterns, CAIP 2013 - York Duration: 2013 Aug 27 → 2013 Aug 29 |

### Publication series

Name | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) |
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Number | PART 1 |

Volume | 8047 LNCS |

ISSN (Print) | 03029743 |

ISSN (Electronic) | 16113349 |

### Other

Other | 15th International Conference on Computer Analysis of Images and Patterns, CAIP 2013 |
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City | York |

Period | 13/8/27 → 13/8/29 |

### Fingerprint

### ASJC Scopus subject areas

- Computer Science(all)
- Theoretical Computer Science

### Cite this

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)*(PART 1 ed., Vol. 8047 LNCS, pp. 417-424). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 8047 LNCS, No. PART 1). https://doi.org/10.1007/978-3-642-40261-6_50

**Scale-space clustering on the sphere.** / Mochizuki, Yoshihiko; Imiya, Atsushi; Kawamoto, Kazuhiko; Sakai, Tomoya; Torii, Akihiko.

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

*Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics).*PART 1 edn, vol. 8047 LNCS, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), no. PART 1, vol. 8047 LNCS, pp. 417-424, 15th International Conference on Computer Analysis of Images and Patterns, CAIP 2013, York, 13/8/27. https://doi.org/10.1007/978-3-642-40261-6_50

}

TY - GEN

T1 - Scale-space clustering on the sphere

AU - Mochizuki, Yoshihiko

AU - Imiya, Atsushi

AU - Kawamoto, Kazuhiko

AU - Sakai, Tomoya

AU - Torii, Akihiko

PY - 2013

Y1 - 2013

N2 - We present an algorithm for scale-space clustering of point cloud on the sphere using the methodology for the estimation of the density distribution of the points in the linear scale space. Our algorithm regards the union of observed point sets as an image defined by the delta functions located at the positions of the points on the sphere. A blurred version of this image has a deterministic structure which qualitatively represents the density distribution of the points in a point cloud on a manifold.

AB - We present an algorithm for scale-space clustering of point cloud on the sphere using the methodology for the estimation of the density distribution of the points in the linear scale space. Our algorithm regards the union of observed point sets as an image defined by the delta functions located at the positions of the points on the sphere. A blurred version of this image has a deterministic structure which qualitatively represents the density distribution of the points in a point cloud on a manifold.

UR - http://www.scopus.com/inward/record.url?scp=84884480616&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884480616&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-40261-6_50

DO - 10.1007/978-3-642-40261-6_50

M3 - Conference contribution

AN - SCOPUS:84884480616

SN - 9783642402609

VL - 8047 LNCS

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 417

EP - 424

BT - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

ER -