# Conics Detection Method based on Pascal’s Theorem

### Musfequs Salehin, Lihong Zheng, Junbin Gao

#### Abstract

This paper presents a novel conics detection method that can be applied for real images. The existing methods usually detect either circular or elliptical, or parabolic shape at one operation. Most of them need the information about center, radius, major axis, minor axis, vertex, and more. In our proposed method, the tangents on curve segments, conic parts, and conics are constructed using Pascal’s theorem. The conic parts can be used to detect different types of conic sections from an image. The performance of the proposed method has been tested on the sample images selected from Caltech-256 database and various types of conic sections can be identified from the real images compared to other method.

#### References

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#### Paper Citation

#### in Harvard Style

Salehin M., Zheng L. and Gao J. (2015). **Conics Detection Method based on Pascal’s Theorem** . In *Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)* ISBN 978-989-758-089-5, pages 491-497. DOI: 10.5220/0005299804910497

#### in Bibtex Style

@conference{visapp15,

author={Musfequs Salehin and Lihong Zheng and Junbin Gao},

title={Conics Detection Method based on Pascal’s Theorem},

booktitle={Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)},

year={2015},

pages={491-497},

publisher={SciTePress},

organization={INSTICC},

doi={10.5220/0005299804910497},

isbn={978-989-758-089-5},

}

#### in EndNote Style

TY - CONF

JO - Proceedings of the 10th International Conference on Computer Vision Theory and Applications - Volume 1: VISAPP, (VISIGRAPP 2015)

TI - Conics Detection Method based on Pascal’s Theorem

SN - 978-989-758-089-5

AU - Salehin M.

AU - Zheng L.

AU - Gao J.

PY - 2015

SP - 491

EP - 497

DO - 10.5220/0005299804910497