Planning Algorithms¶
LaValle, S. M. (2006). Planning Algorithms. Cambridge University Press.
Cited by¶
3 citations across 3 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Manifold
- In robotics and control the configuration space of a robot is a manifold (joint angles with their topology), and motion planning, inverse kinematics, and controller design are calculus on it.
This sourceTreats a robot's configuration space as a manifold (e.g. a torus for two revolute joints), with motion planning, geodesics, and inverse-kinematic singularities at chart boundaries.
Supported in partVerified against the publisher's abstract
The book's own abstract confirms it unites robotics and control theory and centres on robot motion planning, backing the passage's robotics frame but not its assertion that the robot's configuration space is a manifold.
“This coherent and comprehensive book unifies material from several sources, including robotics, control theory, artificial intelligence, and algorithms.”
- In robotics and control the configuration space of a robot is a manifold (joint angles with their topology), and motion planning, inverse kinematics, and controller design are calculus on it.
- Topology
- Robotics and motion planning use topology in the form of configuration-space topology, as developed comprehensively by LaValle (2006) in Planning Algorithms.
This sourceComprehensive reference on motion planning in robotics; develops configuration-space topology, sampling-based and combinatorial planning, and the topological foundations (connectivity, homotopy classes of paths, configuration-space obstacles) of the planning problem. Freely available from the author's webpage.
Supported in partVerified against the publisher's abstract
The abstract confirms a comprehensive book centered on robot motion planning and mentioning 'configuration spaces', but it does not state configuration-space topology.
“A major part of the book is devoted to planning under uncertainty, including decision theory, Markov decision processes, and information spaces, which are the 'configuration spaces' of all sensor-based planning problems.”
- Robotics and motion planning use topology in the form of configuration-space topology, as developed comprehensively by LaValle (2006) in Planning Algorithms.
Domain-specific¶
Verification¶
Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.
Does it back the claim? Read against the text for 2 of 3 citations: 2 supported in part. Each verdict is shown under its citation below, with what in the work backs the sentence.
Support is checked per citation rather than per work — the same source can be cited soundly in one article and wrongly in another. Per-citation recording began recently, so a citation with no recorded check is a gap in the record rather than evidence it went unchecked.
See how references were verified.
Links previously used in the corpus¶
Before the registry existed this work was also linked 1 other way.
Registry ID ref:4eebdcb50d7c · see in the full table