Abstract
Recovering, from two-dimensional images, certain three-dimensional properties of the scene, such as motion and shape of objects in a scene and their spatial arrangement, is one of the primary goals of a machine vision system. Given a textured scene, motion can be recovered rather easily if the structure of the scene, usually in the form of a depth map of the scene, is known. In theory, it is also possible to recover shape (a depth map of the scene) if the relative motion between the viewer and objects in the scene is known. The authors study the sensitivity of the solution of the first problem to inaccuracies in the knowledge of the depth map of the scene. First a brightness change constraint equation, is used to give closed-form solutions for the motion parameters in two cases: known depth, and small depth variations relative to the absolute distance of the scene from the viewer. They then investigate the robustness of the solution for the motion parameters in terms of the scene structure, modeled as piecewise planar patches. They demonstrate the behavior of the solution with the variations of the orientation of the surface patch being viewed and the size of the field of view. Using a quantitative measure, they show the need for a large field of view to recover motion robustly. The eigenvalue-eigenvector decomposition of a 6 × 6 matrix allows the authors to analyze some well-known ambiguities in recovering motion.
| Original language | English |
|---|---|
| Title of host publication | Unknown Host Publication Title |
| Place of Publication | Silver Spring, MD, United States |
| Publisher | Publ by IEEE |
| Pages | 404-410 |
| Number of pages | 7 |
| ISBN (Print) | 0818608625 |
| State | Published - Dec 1 1988 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
Robust recovery of motion : Effects of surface orientation and field of view. / Negahdaripour, Shahriar; Yu, Chih Ho.
Unknown Host Publication Title. Silver Spring, MD, United States : Publ by IEEE, 1988. p. 404-410.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Robust recovery of motion
T2 - Effects of surface orientation and field of view.
AU - Negahdaripour, Shahriar
AU - Yu, Chih Ho
PY - 1988/12/1
Y1 - 1988/12/1
N2 - Recovering, from two-dimensional images, certain three-dimensional properties of the scene, such as motion and shape of objects in a scene and their spatial arrangement, is one of the primary goals of a machine vision system. Given a textured scene, motion can be recovered rather easily if the structure of the scene, usually in the form of a depth map of the scene, is known. In theory, it is also possible to recover shape (a depth map of the scene) if the relative motion between the viewer and objects in the scene is known. The authors study the sensitivity of the solution of the first problem to inaccuracies in the knowledge of the depth map of the scene. First a brightness change constraint equation, is used to give closed-form solutions for the motion parameters in two cases: known depth, and small depth variations relative to the absolute distance of the scene from the viewer. They then investigate the robustness of the solution for the motion parameters in terms of the scene structure, modeled as piecewise planar patches. They demonstrate the behavior of the solution with the variations of the orientation of the surface patch being viewed and the size of the field of view. Using a quantitative measure, they show the need for a large field of view to recover motion robustly. The eigenvalue-eigenvector decomposition of a 6 × 6 matrix allows the authors to analyze some well-known ambiguities in recovering motion.
AB - Recovering, from two-dimensional images, certain three-dimensional properties of the scene, such as motion and shape of objects in a scene and their spatial arrangement, is one of the primary goals of a machine vision system. Given a textured scene, motion can be recovered rather easily if the structure of the scene, usually in the form of a depth map of the scene, is known. In theory, it is also possible to recover shape (a depth map of the scene) if the relative motion between the viewer and objects in the scene is known. The authors study the sensitivity of the solution of the first problem to inaccuracies in the knowledge of the depth map of the scene. First a brightness change constraint equation, is used to give closed-form solutions for the motion parameters in two cases: known depth, and small depth variations relative to the absolute distance of the scene from the viewer. They then investigate the robustness of the solution for the motion parameters in terms of the scene structure, modeled as piecewise planar patches. They demonstrate the behavior of the solution with the variations of the orientation of the surface patch being viewed and the size of the field of view. Using a quantitative measure, they show the need for a large field of view to recover motion robustly. The eigenvalue-eigenvector decomposition of a 6 × 6 matrix allows the authors to analyze some well-known ambiguities in recovering motion.
UR - http://www.scopus.com/inward/record.url?scp=0024142744&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0024142744&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0024142744
SN - 0818608625
SP - 404
EP - 410
BT - Unknown Host Publication Title
PB - Publ by IEEE
CY - Silver Spring, MD, United States
ER -