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Efficient conic fitting with an analytical Polar-N-Direction geometric distance
Wu YH(吴毅红)1,2; Wang HR(王浩人)1,2; Tang FL(唐付林)1,2; Wang ZH(王志衡)3
Source PublicationPattern Recognition
ISSN0031-3203
2019
Volume90Issue:6Pages:415-423
Subtype期刊论文
Abstract

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.

KeywordConic Fitting Geometric Distance Sampson Distance
Indexed BySCI
Language英语
Document Type期刊论文
Identifierhttp://ir.ia.ac.cn/handle/173211/23616
Collection机器人视觉团队
Corresponding AuthorWu YH(吴毅红); Wang ZH(王志衡)
Affiliation1.中国科学院自动化研究所
2.中国科学院大学
3.河南理工大学
First Author AffilicationInstitute of Automation, Chinese Academy of Sciences
Corresponding Author AffilicationInstitute of Automation, Chinese Academy of Sciences
Recommended Citation
GB/T 7714
Wu YH,Wang HR,Tang FL,et al. Efficient conic fitting with an analytical Polar-N-Direction geometric distance[J]. Pattern Recognition,2019,90(6):415-423.
APA Wu YH,Wang HR,Tang FL,&Wang ZH.(2019).Efficient conic fitting with an analytical Polar-N-Direction geometric distance.Pattern Recognition,90(6),415-423.
MLA Wu YH,et al."Efficient conic fitting with an analytical Polar-N-Direction geometric distance".Pattern Recognition 90.6(2019):415-423.
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