How hard is 3view triangulation really?
(2005) IEEE International Conference on Computer Vision, 2005 In Proceedings. Tenth IEEE International Conference on Computer Vision p.686693 Abstract
 We present a solution for optimal triangulation in three views. The solution is guaranteed to find the optimal solution because it computes all the stationary points of the (maximum likelihood) objective function. Internally, the solution is found by computing roots of multivariate polynomial equations, directly solving the conditions for stationarity. The solver makes use of standard methods from computational commutative algebra to convert the rootfinding problem into a 47
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/616506
 author
 Stewenius, Henrik ^{LU} ; Schaffalitzky, F and Nister, D
 organization
 publishing date
 2005
 type
 Chapter in Book/Report/Conference proceeding
 publication status
 published
 subject
 keywords
 scene geometry, image motion analysis, nonsymmetric eigenproblem, rootfinding problem, computational commutative algebra, multivariate polynomial equation, maximum likelihood objective function, 3view triangulation, optimal triangulation
 in
 Proceedings. Tenth IEEE International Conference on Computer Vision
 pages
 686  693
 publisher
 IEEEInstitute of Electrical and Electronics Engineers Inc.
 conference name
 IEEE International Conference on Computer Vision, 2005
 external identifiers

 WOS:000233155100089
 Scopus:33745968244
 ISBN
 076952334X
 DOI
 10.1109/ICCV.2005.115
 language
 English
 LU publication?
 yes
 id
 e68f971be24e4a9689f1ac6be6117236 (old id 616506)
 date added to LUP
 20071125 16:56:40
 date last changed
 20161013 04:51:14
@misc{e68f971be24e4a9689f1ac6be6117236, abstract = {We present a solution for optimal triangulation in three views. The solution is guaranteed to find the optimal solution because it computes all the stationary points of the (maximum likelihood) objective function. Internally, the solution is found by computing roots of multivariate polynomial equations, directly solving the conditions for stationarity. The solver makes use of standard methods from computational commutative algebra to convert the rootfinding problem into a 47}, author = {Stewenius, Henrik and Schaffalitzky, F and Nister, D}, isbn = {076952334X}, keyword = {scene geometry,image motion analysis,nonsymmetric eigenproblem,rootfinding problem,computational commutative algebra,multivariate polynomial equation,maximum likelihood objective function,3view triangulation,optimal triangulation}, language = {eng}, pages = {686693}, publisher = {ARRAY(0xb5bc8d0)}, series = {Proceedings. Tenth IEEE International Conference on Computer Vision}, title = {How hard is 3view triangulation really?}, url = {http://dx.doi.org/10.1109/ICCV.2005.115}, year = {2005}, }