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A general solution to the P4P problem for camera with unknown focal length

Bujnak, Martin, Kukelova, Zuzana, Pajdla, Tomas·2008·2008 IEEE Conference on Computer Vision and Pattern Recognition

Abstract

This paper presents a general solution to the determination of the pose of a perspective camera with unknown focal length from images of four 3D reference points. Our problem is a generalization of the P3P and P4P problems previously developed for fully calibrated cameras. Given four 2D-to-3D correspondences, we estimate camera position, orientation and recover the camera focal length. We formulate the problem and provide a minimal solution from four points by solving a system of algebraic equations. We compare the Hidden variable resultant and Grobner basis techniques for solving the algebraic equations of our problem. By evaluating them on synthetic and on real-data, we show that the Grobner basis technique provides stable results.

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Crossref · 10.1109/cvpr.2008.4587793

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Metadata

Authors
Bujnak, M., Kukelova, Z., & Pajdla, T.
Venue
2008 IEEE Conference on Computer Vision and Pattern Recognition
Publisher
IEEE
Published
2008-06
Pages
1-8
ISSN
1063-6919 (ISSN-L)
OpenAlex
W2135973942
Cited by
170
References
1
FWCI
9.08
Type
conference paper
Language
en
Open access
closed

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CoChat. (2026). Citation check: A general solution to the P4P problem for camera with unknown focal length. https://app.cochat.ai/papers/10.1109/cvpr.2008.4587793
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Bujnak, M., Kukelova, Z., & Pajdla, T. (2008). A general solution to the P4P problem for camera with unknown focal length. 2008 IEEE Conference on Computer Vision and Pattern Recognition. https://doi.org/10.1109/cvpr.2008.4587793

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