## Direct Computation of 3D Shape and Motion Invariants (1989)

Citations: | 1 - 0 self |

### BibTeX

@MISC{Weinshall89directcomputation,

author = {Daphna Weinshall},

title = {Direct Computation of 3D Shape and Motion Invariants},

year = {1989}

}

### OpenURL

### Abstract

sequence of images. However, a (relative) depth map of a surface may not be a good representation for storage and recognition; a more concise representation seems necessary.

### Citations

632 | A computer algorithm for reconstructing a scene from two projections - Longuet-Higgins - 1981 |

327 | A computational theory of human stereo vision - Marr, Poggio - 1979 |

313 |
Estimating three-dimensional motion parameters of a rigid planar patch,” Trans
- Tsai, Huang
- 1981
(Show Context)
Citation Context ...n deal mainly with the minimal number of points that are necessary to compute the inverse transformation (see [2]). For this purpose it has been shown that 7 or 8 matched points in two views ([3] and =-=[4]-=-) or 5 points and their velocities in one view ([5]) are sufficient. The actual algorithms, however, are typically computationally expensive and sensitive to noise. It is hard to guarantee a sufficien... |

295 |
The interpretation of moving retinal images
- Longuet-Higgins, Prazdny
- 1980
(Show Context)
Citation Context ...fy the two components of the flow field then the problem is almost solved, the direction of motion and relative depth of all points can be computed from the translational component of the motion (see =-=[7]-=-). Because of the practical difficulties in devising a robust algorithm that will find a complete solution of the problem, the need for a more qualitative approach to motion analysis and to vision in ... |

88 | Local shading analysis - Pentland - 1984 |

85 | The singularities of the visual mappings - Koenderink, Doorn - 1976 |

82 | Invariant properties of the motion parallax field due to the movement of rigid bodies relative to an observer - Koenderink, Doom - 1975 |

77 | Maximizing rigidity: The incremental recovery of 3-D structure from rigid and nonrigid motion - Ullman - 1984 |

55 |
Local structure of movement parallax of the plane
- Koenderink, Doorn
- 1976
(Show Context)
Citation Context ...ight: rotation only. of the Gaussian curvature of a surface is one candidate to be a part of a useful representation of the surface. In accordance with this view, Koenderink and van Doorn (see, [14], =-=[15]-=- and [16]) have proposed an alternative theoretical approach to the analysis of stereo and motion (assuming matching is given). They show how various qualitative properties of objects and the motion f... |

47 |
Criteria for representations of shape
- Brady
(Show Context)
Citation Context ...he computation of an exact 3D structure may not even be necessary for recognition. The exact 3D coordinates of a surface do not seem to be a good representation for either storage or recognition (see =-=[13]-=-), a more concise representation seems necessary. The sign short version in IEEE Trans. on Pattern Anal. Machine Intel., 13(12), 1236-1240, 1991 2 Figure 1: An example of an optical flow, left: transl... |

44 |
Against quantitative optic flow
- Verri, Poggio
- 1987
(Show Context)
Citation Context ...s in devising a robust algorithm that will find a complete solution of the problem, the need for a more qualitative approach to motion analysis and to vision in general has been expressed (e.g., [8], =-=[9]-=- and [10]). It has been motivated in part by the experimentally plausible hypothesis that human vision does not compute the exact inverse mapping of the projection of a 3D world onto a 2D retina. In a... |

43 | Egomotion and relative depth map from optical flow - Prazdny - 1980 |

37 | Goemetry of binocular vision and a model for stereopsis - Koenderink, Doorn - 1976 |

28 | Eye movement and perceived visual direction - Matin - 1972 |

24 | Colour Vision - Thompson - 1995 |

15 | Using flow field divergence for obstacle avoidance towards qualitative vision - Nelson, Aloimonos - 1988 |

15 | Qualitative depth from stereo, with applications - Weinshall - 1990 |

14 | Ii1teractioll of different modules in depth perception
- Bulthoff, Mallot
- 1987
(Show Context)
Citation Context ...rojection of a 3D world onto a 2D retina. In addition for many purposes, such as navigation, it has been shown that the complete solution of the motion parameters may not be necessary (e.g., [11] and =-=[12]-=-). The computation of an exact 3D structure may not even be necessary for recognition. The exact 3D coordinates of a surface do not seem to be a good representation for either storage or recognition (... |

13 | Zero crossings on lines of curvature - Yuille - 1989 |

11 | Computational studies on the interpretation of structure and motion: Summary and extension
- Ullman
- 1983
(Show Context)
Citation Context ...ture from motion the motion parameters should be known. Structure from motion results often deal mainly with the minimal number of points that are necessary to compute the inverse transformation (see =-=[2]-=-). For this purpose it has been shown that 7 or 8 matched points in two views ([3] and [4]) or 5 points and their velocities in one view ([5]) are sufficient. The actual algorithms, however, are typic... |

8 | Representations in high-level vision reassessing the inverse "optics paradigm - Edelman, Poggio - 1989 |

2 | Criteria for shape representations - Brady - 1983 |

2 |
Integrating visual cues for object segmentation and recognition
- Edelman, Poggio
- 1989
(Show Context)
Citation Context ...ising a robust algorithm that will find a complete solution of the problem, the need for a more qualitative approach to motion analysis and to vision in general has been expressed (e.g., [8], [9] and =-=[10]-=-). It has been motivated in part by the experimentally plausible hypothesis that human vision does not compute the exact inverse mapping of the projection of a 3D world onto a 2D retina. In addition f... |

1 | 22209 MONITORING AGENCY NAME & AOORESS(11 de/fermi from Ctro/fln4 Oilier) Office of Naval Research Information Systems Arlington, VA 22217 READINSTRUCTIONS BEFORE COMPLETING FORM .11. RECIPIENT'I CATALOG NUMBER s. TYPE o REPORT a pEmoo COVERED memorandum - Arlington |