Structure and Motion from Points, Lines and Conics with Affine Cameras
(1998) Computer Vision  ECCV'98 5th European Conference on Computer Vision In [Host publication title missing] 1. p.327341 Abstract
 We present an integrated approach that solves the structure and motion problem for affine cameras. Given images of corresponding points, lines and conics in any number of views, a reconstruction of the scene structure and the camera motion is calculated, up to an affine transformation. Starting with three views, two novel concepts are introduced. The first one is a quasitensor consisting of 20 components and the second one is another quasitensor consisting of 12 components. These tensors describe the viewing geometry for three views taken by an affine camera. It is shown how correspondences of points, lines and conics can be used to constrain the tensor components. A set of affine camera matrices compatible with the quasitensors can... (More)
 We present an integrated approach that solves the structure and motion problem for affine cameras. Given images of corresponding points, lines and conics in any number of views, a reconstruction of the scene structure and the camera motion is calculated, up to an affine transformation. Starting with three views, two novel concepts are introduced. The first one is a quasitensor consisting of 20 components and the second one is another quasitensor consisting of 12 components. These tensors describe the viewing geometry for three views taken by an affine camera. It is shown how correspondences of points, lines and conics can be used to constrain the tensor components. A set of affine camera matrices compatible with the quasitensors can easily be calculated from the tensor components. The resulting camera matrices serve as an initial guess in a factorisation method, using points, lines and conics concurrently, generalizing the wellknown factorisation method by TomasiKanade (1992). Finally, examples are given that illustrate the developed methods on both simulated and real data (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/787363
 author
 Kahl, Fredrik ^{LU} and Heyden, Anders ^{LU}
 organization
 publishing date
 1998
 type
 Chapter in Book/Report/Conference proceeding
 publication status
 published
 subject
 keywords
 cameras, computational geometry, computer vision, constraint theory, image reconstruction, matrix decomposition, motion estimation, tensors
 in
 [Host publication title missing]
 volume
 1
 pages
 327  341
 publisher
 Springer
 conference name
 Computer Vision  ECCV'98 5th European Conference on Computer Vision
 external identifiers

 Scopus:84957650663
 ISBN
 3 540 64569 1
 language
 English
 LU publication?
 yes
 id
 a968f78cf0a64137b5023be6767b6814 (old id 787363)
 date added to LUP
 20080331 17:33:27
 date last changed
 20170219 04:32:27
@inproceedings{a968f78cf0a64137b5023be6767b6814, abstract = {We present an integrated approach that solves the structure and motion problem for affine cameras. Given images of corresponding points, lines and conics in any number of views, a reconstruction of the scene structure and the camera motion is calculated, up to an affine transformation. Starting with three views, two novel concepts are introduced. The first one is a quasitensor consisting of 20 components and the second one is another quasitensor consisting of 12 components. These tensors describe the viewing geometry for three views taken by an affine camera. It is shown how correspondences of points, lines and conics can be used to constrain the tensor components. A set of affine camera matrices compatible with the quasitensors can easily be calculated from the tensor components. The resulting camera matrices serve as an initial guess in a factorisation method, using points, lines and conics concurrently, generalizing the wellknown factorisation method by TomasiKanade (1992). Finally, examples are given that illustrate the developed methods on both simulated and real data}, author = {Kahl, Fredrik and Heyden, Anders}, booktitle = {[Host publication title missing]}, isbn = {3 540 64569 1}, keyword = {cameras,computational geometry,computer vision,constraint theory,image reconstruction,matrix decomposition,motion estimation,tensors}, language = {eng}, pages = {327341}, publisher = {Springer}, title = {Structure and Motion from Points, Lines and Conics with Affine Cameras}, volume = {1}, year = {1998}, }