Minimal problems in Computer Vision

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» P4P + unknown focal length

» P4P + focal + radial distortion

» uP2P + known vertical direction

» uP3P + focal + radial distortion

» P2P1L problem

» P1P2L problem

» 5-pt relative pose problem

» 6-pt focal length problem

» 6-pt calibrated-uncalibrated

» 4-pt 3-views relative pose problem

» 2-pt panorama stitching (1 focal)

» 3-pt panorama stitching (2 focals)

» 3-pt panorama stitching (1 focal+ radial distortion)

» 6-pt generalized camera problem

» 6-pt calibrated radial distortion

» 8-pt uncalibrated radial distortion

» 9-pt different distortion problem

» P2Π registration problem

» 3-view triangulation

» 9-pt catadioptric

» Automatic generator

» Grobener basis solver

6-point calibrated-uncalibrated relative pose problem

Problem:

Estimating relative pose of one fully and one up to focal length calibrated camera from six image point correspondences.

6-pt focal length problem

Publications:

M. Bujnak, Z.Kukelova, and T. Pajdla. 3D reconstruction from image collections with a single known focal length. ICCV 2009, Kyoto, Japan, September 29 - October 2, 2009. [pdf | code]

Code:

Greobner basis solver generated using Automatic generator [2] (Matlab) [source code]
Greobner basis solver generated using Automatic generator [2] (C) [source code]
Polynomial eigenvalue solution [3] (Matlab) [source code]

Evaluation:

Tomas Pajdla, Zuzana Kukelova, Martin Bujnak. Maintained by Zuzana Kukelova, 28 January 2011