Inherent Ambiguities in Recovering 3-D Motion and Structure from a Noisy Flow Field
IEEE Transactions on Pattern Analysis and Machine Intelligence
Motion Field and Optical Flow: Qualitative Properties
IEEE Transactions on Pattern Analysis and Machine Intelligence
Image Flow Segmentation and Estimation by Constraint Line Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Cooperation of the inertial and visual systems
Traditional and non-traditional robotic sensors
Subspace methods for recovering rigid motion I: algorithm and implementation
International Journal of Computer Vision
Statistical Analysis of Inherent Ambiguities in Recovering 3-D Motion from a Noisy Flow Field
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating the heading direction using normal flow
International Journal of Computer Vision
Robust estimation of egomotion from normal flow
International Journal of Computer Vision
Recursive non-linear estimation of discontinuous flow fields
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
Basic algebraic geometry 1 (2nd, revised and expanded ed.)
Basic algebraic geometry 1 (2nd, revised and expanded ed.)
Passive navigation as a pattern recognition problem
International Journal of Computer Vision - Special issue on qualitative vision
Distortion of stereoscopic visual space
Distortion of stereoscopic visual space
Effects of errors in the viewing geometry on shape estimation
Computer Vision and Image Understanding
Measurement of Image Velocity
Theory of Reconstruction from Image Motion
Theory of Reconstruction from Image Motion
Motion and Structure from Image Sequences
Motion and Structure from Image Sequences
Direct Estimation of Structure and Motion from Multiple Frames
Direct Estimation of Structure and Motion from Multiple Frames
Characterizing Depth Distortion under Different Generic Motions
International Journal of Computer Vision
Shot Change Detection Using Scene-Based Constraint
Multimedia Tools and Applications
Understanding the Behavior of SFM Algorithms: A Geometric Approach
International Journal of Computer Vision
Depth distortion under calibration uncertainty
Computer Vision and Image Understanding
Quasi-Parallax for Nearly Parallel Frontal Eyes
International Journal of Computer Vision
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An important issue concerning the design of any vision system is thechoice of a proper space representation. In order to search for clues to a suitable representation, we look at the distortion of space arising fromerrors in motion or stereo estimates. Understanding thisspace distortion has important epistemologicalimplications for the problem of space representation because it tellsus what can be and what cannot be computed. This paper istherefore an enquiry into the nature of space representation throughthe study of the space distortion, though it is not apsychophysical or physiological study but rather a computationalone. We show that the distortion transformation is a quadratic Cremonatransformation, which is bijective almost everywhere except on theset of fundamental elements. We identify the fundamental elements ofboth the direct and the inverse transformations, and study thebehaviour of the space distortion by analyzing the transformation of space elements (lines, planes) that pass throughthese fundamental elements.