## Abstract

Finding all occurrences of a non-rectangular pattern of height m and area a in an n × n text with no more than k mismatch, insertion, and deletion errors is an important problem in computer vision. It can be solved using a dynamic programming approach in time O(an^{2}). We show a O(kn^{2}√m log m √k log k + k^{2}n^{2}) algorithm which combines convolutions with dynamic programming. At the heart of the algorithm are the Smaller Matching Problem and the k-Aligned Ones with Location Problem. Efficient algorithms to solve both these problems are presented.

Original language | English |
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Title of host publication | Proceedings of the 2nd Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1991 |

Publisher | Association for Computing Machinery |

Pages | 212-223 |

Number of pages | 12 |

ISBN (Print) | 0897913760 |

State | Published - 1 Mar 1991 |

Externally published | Yes |

Event | 2nd Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1991 - San Francisco, United States Duration: 28 Jan 1991 → 30 Jan 1991 |

### Publication series

Name | Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms |
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### Conference

Conference | 2nd Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 1991 |
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Country/Territory | United States |

City | San Francisco |

Period | 28/01/91 → 30/01/91 |

### Bibliographical note

Publisher Copyright:© 1991 Association for Computing Machinery. All rights reserved.

### Funding

“ [email protected], Department of Computer Science and Institute for Advauced Computer Studies, University of Maryland, College Park, MD 20742. Partially supported by NSF grant CCR-88-03641 and a University of Maryland full year research award. t mpf@cs .umd.edu, Department of Comput er Science, University of Maryland, college Park, MD 20742. Supported by a University of Maryland Graduate Fellowship, au ACM Samuel M. Alexander Fellowship aud NSF grant CCR-88-03641.

Funders | Funder number |
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National Science Foundation | CCR-88-03641 |

University of Maryland |