Abstract | ||
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This paper deals with the Efficient Second order Minimization (ESM) and the image-based visual servoing schemes. In other words, it deals with the minimization based on the pseudo-inverse of the mean of the Jacobians or on the mean of Jacobian Pseudo-inverses. Chronologically, it has been noticed in Tahri and Chaumette (2003) [22] that ESM generally improves the system behavior when compared with the system in which only the simple Jacobian Pseudo-inverses are used. Subsequently, a mathematical explanation has been given in Malis (2004) [12]. In this paper, the proofs given by Malis are discussed and it will be shown that there is a limitation to the validity of the ESM. We will also show that the use of ESM does not necessarily ensure a better system behavior, especially in the situations where large rotational motions are involved. Further, a new appropriate formula of the ESM is proposed and validated using several kinds of features. |
Year | DOI | Venue |
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2010 | 10.1016/j.robot.2009.11.003 | Robotics and Autonomous Systems |
Keywords | Field | DocType |
Visual servoing,Second order minimization | Computer vision,Jacobian matrix and determinant,Simulation,Computer science,Minification,Mathematical proof,Visual servoing,Artificial intelligence | Journal |
Volume | Issue | ISSN |
58 | 5 | Robotics and Autonomous Systems |
Citations | PageRank | References |
10 | 0.57 | 16 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
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Omar Tahri | 1 | 121 | 14.56 |
Youcef Mezouar | 2 | 689 | 58.20 |