Revisiting Trifocal Tensor Estimation Using Lines

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review


In this paper, we revisit the problem of estimating the trifocal tensor from image line measurements. With measurements of corresponding lines in three views, a linear method [1] requiring 13 lines was developed to estimate the trifocal tensor from which projective reconstruction of the scene is made possible. By further utilizing the nonlinear constraints on the trifocal tensor, we propose several new linear solvers that require fewer number of lines (10,11,12) than the previous linear method. We use methods based on algebraic geometry to incorporate the non-linear constraints in the estimation. We demonstrate the performance of the proposed solvers on synthetic data. We also test the solvers on real images and obtain promising results.
Original languageEnglish
Title of host publicationPattern Recognition (ICPR), 2014 22nd International Conference on
PublisherIEEE - Institute of Electrical and Electronics Engineers Inc.
Number of pages5
Publication statusPublished - 2014
Event22nd International Conference on Pattern Recognition (ICPR 2014) - Stockholm, Sweden
Duration: 2014 Aug 242014 Aug 28
Conference number: 22

Publication series

ISSN (Print)1051-4651


Conference22nd International Conference on Pattern Recognition (ICPR 2014)

Subject classification (UKÄ)

  • Computer Vision and Robotics (Autonomous Systems)
  • Mathematics


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