The twisted cubic and camera calibration
Computer Vision, Graphics, and Image Processing
Three-dimensional computer vision: a geometric viewpoint
Three-dimensional computer vision: a geometric viewpoint
Affine Structure from Line Correspondences With Uncalibrated Affine Cameras
IEEE Transactions on Pattern Analysis and Machine Intelligence
Dual Computation of Projective Shape and Camera Positions from Multiple Images
International Journal of Computer Vision
Solutions and Ambiguities of the Structure and Motion Problem for 1DRetinal Vision
Journal of Mathematical Imaging and Vision
Critical Motions for Auto-Calibration When Some Intrinsic Parameters Can Vary
Journal of Mathematical Imaging and Vision
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Theory of Reconstruction from Image Motion
Theory of Reconstruction from Image Motion
Self-Calibration from Image Triplets
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Optical Navigation System Using Passive, Identical Beacons
Intelligent Autonomous Systems, An International Conference
Critical Motion Sequences for Monocular Self-Calibration and Uncalibrated Euclidean Reconstruction
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Duality of reconstruction and positioning from projective views
VSR '95 Proceedings of the IEEE Workshop on Representation of Visual Scenes
Ambiguity in Reconstruction From Images of Six Points
ICCV '98 Proceedings of the Sixth International Conference on Computer Vision
Critical Configurations for Projective Reconstruction from Multiple Views
International Journal of Computer Vision
The Minimal Structure and Motion Problems with Missing Data for 1D Retina Vision
Journal of Mathematical Imaging and Vision
Geometrical computer vision from chasles to today
SCIA'05 Proceedings of the 14th Scandinavian conference on Image Analysis
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In this paper we investigate, determine and classify the critical configurations for solving structure and motion problems for 1D retina vision. We give a complete categorization of all ambiguous configurations for a 1D (calibrated or uncalibrated) perspective camera irrespective of the number of points and views. It is well-known that the calibrated and uncalibrated case are linked through the circular points. This link enables us to solve for both cases simultaneously. Another important tool is the duality in exchanging points and cameras and its corresponding Cremona transformation. These concepts are generalized to the 1D case and used for the investigation of ambiguous configurations. Several examples and illustrations are also provided to explain the results and to provide geometrical insight.