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Projective Invariants from Multiple Images: A Direct and Linear Method
Joint Authors
Zhang, Bin
Wang, Yuanbin
Wang, Xingwei
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-04-28
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The projective reconstruction of 3D structures from 2D images is a central problem in computer vision.
Existing methods for this problem are usually nonlinear or indirect.
In the previous direct methods, we usually have to solve a system of nonlinear equations.
They are very complicated and hard to implement.
The previous linear indirect methods are usually imprecise.
This paper presents a linear and direct method to derive projective structures of 3D points from their 2D images.
Algorithms to compute projective invariants from two images, three images, and four images are given.
The method is clear, simple, and easy to implement.
For the first time in the literature, we present explicit linear formulas to solve this problem.
Mathematica codes are provided to demonstrate the correctness of the formulas.
American Psychological Association (APA)
Wang, Yuanbin& Wang, Xingwei& Zhang, Bin. 2016. Projective Invariants from Multiple Images: A Direct and Linear Method. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112729
Modern Language Association (MLA)
Wang, Yuanbin…[et al.]. Projective Invariants from Multiple Images: A Direct and Linear Method. Mathematical Problems in Engineering No. 2016 (2016), pp.1-14.
https://search.emarefa.net/detail/BIM-1112729
American Medical Association (AMA)
Wang, Yuanbin& Wang, Xingwei& Zhang, Bin. Projective Invariants from Multiple Images: A Direct and Linear Method. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-14.
https://search.emarefa.net/detail/BIM-1112729
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112729