Selected References

Click on a paper's title to download the PostScript file. References 1, 2, 3 and 4 describe the positive depth constraint and the global patterns of image motion measurements. Reference 5 describes the new depth variability constraint and its application for structure and motion estimation. It also contains a proof that the epipolar constraint is a special case of this approach. References 6, 7 and 8 describe proofs related to inherent ambiguities in 3D motion estimation for a restricted and full (360-degree) field of view. Reference 9 is devoted to motion segmentation.

References 10, 11 and 12 are devoted to illusions of motion and their exploration using our geometric framework. Reference 13 describes the non-Euclidean nature of human visual space and explains a number of illusions of shape distortion. Reference 14 is an overview of interdisciplinary research. References 15, 16 and 17 are the original papers that introduced the constraints on point and line correspondences in multiple views. References 18 and 19 are introductory chapters from books in the Computer Vision series published by Lawrence Erlbaum Associates.

  1. Qualitative Egomotion
  2. Passive Navigation as a Pattern Recognition Problem
  3. Perception of 3D Motion Through Patterns of Visual Motion
  4. On the Geometry of Visual Correspondence
  5. Structure from Motion: Beyond the Epipolar Constraint
  6. Algorithm-Independent Stability Analysis of Structure from Motion
  7. Geometry of Eye Design: Biology and Technology
  8. Observability of 3D Motion
  9. Motion Segmentation
  10. Motion Boundary Illusions and Their Regularization
  11. Families of Stationary Patterns Producing Illusory Movement: Insights into the Visual System
  12. The Ouchi Illusion as an Artifact of Biased Flow Estimation
  13. Explaining Human Visual Space Distortion
  14. Vision and Action
  15. Structure from Motion Using Line Correspondences
  16. A Unified Theory of Structure from Motion
  17. A Multi-frame Approach to Visual Motion Perception
  18. Active Vision Revisited, from Active Perception
  19. Visual Navigation: Flies, Bees and UGV's, from Visual Navigation: From Biological Systems to Unmanned Ground Vehicles

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Revised 2001/10/23
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