Knowledge Commons of Institute of Automation，CAS
| Efficient conic fitting with an analytical Polar-N-Direction geometric distance | |
Wu, Yihong1,2 ; Wang, Haoren1,2; Tang, Fulin1,2; Wang, Zhiheng3
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| 发表期刊 | PATTERN RECOGNITION
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| ISSN | 0031-3203 |
| 2019-06-01 | |
| 卷号 | 90页码:415-423 |
| 通讯作者 | Wu, Yihong(yhwu@nlpr.ia.ac.cn) ; Wang, Zhiheng(wzhenry@eyou.com) |
| 摘要 | Fitting conics from images is a preliminary step for its plentiful applications. It is a common sense that geometric distance based fitting methods are better than algebraic distance based ones. However, for a long time, there has not been a geometric distance between a point and a general conic that allows easy computation and achieves high accuracy simultaneously. Though Sampson distance is widely accepted, it is only a first-order approximation. For other geometric distances, the computations are too complex to be popular in practice. In this paper, we derive a new geometric distance between a point and a general conic, called Polar-N-Direction distance. The distance can be adapted to a projective transformation because it is computed along the normal direction of the polar line of the point, making conic fitting more robust. Moreover, Polar-N-Direction distance is accurate and simultaneously still analytical in an explicit representation, which is quite easy to be implemented. Then, based on the distance, a new cost function is constructed. The conic fitting optimization by minimizing this cost function has all the merits of the geometric distance based methods and simultaneously avoids their limitations. Experiments show that the conic fitting method is greatly efficient. (C) 2019 Elsevier Ltd. All rights reserved. |
| 关键词 | Conic fitting Geometric distance Sampson distance |
| DOI | 10.1016/j.patcog.2019.01.023 |
| 关键词[WOS] | PARAMETER-ESTIMATION ; FIT FUNCTIONS ; ELLIPSE ; SECTIONS ; ERROR ; BIAS ; CURVES ; CIRCLE ; IMAGE |
| 收录类别 | SCI |
| 语种 | 英语 |
| 资助项目 | National Natural Science Foundation of China[61836015] ; National Natural Science Foundation of China[61421004] ; National Natural Science Foundation of China[61572499] ; Henan Science and Technology Innovation Outstanding Youth Program[184100510009] ; National Natural Science Foundation of China[61836015] ; National Natural Science Foundation of China[61421004] ; National Natural Science Foundation of China[61572499] ; Henan Science and Technology Innovation Outstanding Youth Program[184100510009] |
| 项目资助者 | National Natural Science Foundation of China ; Henan Science and Technology Innovation Outstanding Youth Program |
| WOS研究方向 | Computer Science ; Engineering |
| WOS类目 | Computer Science, Artificial Intelligence ; Engineering, Electrical & Electronic |
| WOS记录号 | WOS:000463130400034 |
| 出版者 | ELSEVIER SCI LTD |
| 七大方向——子方向分类 | 三维视觉 |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.ia.ac.cn/handle/173211/23616 |
| 专题 | 多模态人工智能系统全国重点实验室_机器人视觉 |
| 通讯作者 | Wu, Yihong; Wang, Zhiheng |
| 作者单位 | 1.Chinese Acad Sci, Natl Lab Pattern Recognit, Inst Automat, 95 Zhongguancun East Rd, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China 3.Henan Polytech Univ, Coll Comp Sci & Technol, 2001 Century Ave, Jiaozuo 454000, Henan, Peoples R China |
| 第一作者单位 | 模式识别国家重点实验室 |
| 通讯作者单位 | 模式识别国家重点实验室 |
| 推荐引用方式 GB/T 7714 | Wu, Yihong,Wang, Haoren,Tang, Fulin,et al. Efficient conic fitting with an analytical Polar-N-Direction geometric distance[J]. PATTERN RECOGNITION,2019,90:415-423. |
| APA | Wu, Yihong,Wang, Haoren,Tang, Fulin,&Wang, Zhiheng.(2019).Efficient conic fitting with an analytical Polar-N-Direction geometric distance.PATTERN RECOGNITION,90,415-423. |
| MLA | Wu, Yihong,et al."Efficient conic fitting with an analytical Polar-N-Direction geometric distance".PATTERN RECOGNITION 90(2019):415-423. |
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| Wu_et_al_2019_Effici（2113KB） | 期刊论文 | 作者接受稿 | 开放获取 | CC BY-NC-SA | 浏览 下载 | |
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