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Efficient Configuration Space Construction and Optimization for Motion Planning
The configuration space is a fundamental concept that is widely used in algorithmic robotics. Many applications in robotics, computer-aided design, and related areas can be reduced to computational problems in terms of configuration spaces. In this paper,
Jia Pan, Dinesh Manocha
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Equivariant Configuration Spaces [PDF]
We use the compression theorem (arxiv:math.GT/9712235) cf section 7, to prove results for equivariant configuration spaces analogous to the well-known non-equivariant results of May, Milgram and Segal.
Rourke, C. P., Sanderson, B. J.
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Configuration spaces and $\Theta _n$ [PDF]
12 ...
Ayala, David, Hepworth, Richard
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Development of Task-Space Nonholonomic Motion Planning Algorithm Based on Lie-Algebraic Method
In this paper, a Lie-algebraic nonholonomic motion planning technique, originally designed to work in a configuration space, was extended to plan a motion within a task-space resulting from an output function considered.
Arkadiusz Mielczarek, Ignacy Dulęba
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Rapid Planning of an Assembly Path by Reusing the Prior Path
Assembly path planning of complex products in virtual assembly is a necessary and complicated step, which will become long and inefficient if the assembly path of each part is completely planned in the assembly space.
Guodong Yi +3 more
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Bundles over configuration spaces [PDF]
54 F. R. COHEN, R. L. COHEN, N. J. KUHN AND J. L . NEISENDORFER19. H. Toda, Order of the identity class of a suspension space, Annals of Math., (2) 78(1963), 300-325.20. S. W. Yang, Ph.D. Dissertation, Brandei s University, 1978.Received July 7, 1980. The authors were partially supported by the National ScienceFoundation. The first author was partially
Cohen, F. R. +3 more
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Banana integrals in configuration space
We reconsider the computation of banana integrals at different loops, by working in the configuration space, in any dimension. We show how the 2-loop banana integral can be computed directly from the configuration space representation, without the need ...
Sergio L. Cacciatori +2 more
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Group quantization on configuration space [PDF]
New features of a previously introduced group approach to quantization are presented. We show that the construction of the symmetry group associated with the system to be quantized (the ‘‘quantizing group’’) does not require, in general, the explicit construction of the phase space of the system, i.e., does not require the actual knowledge of the ...
Navarro, Miguel +2 more
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Kaleidoscopical Configurations in $G$-Spaces [PDF]
Let $G$ be a group and $X$ be a $G$-space with the action $G\times X\rightarrow X$, $(g,x)\mapsto gx$. A subset $F$ of $X$ is called a kaleidoscopical configuration if there exists a coloring $\chi:X\rightarrow C$ such that the restriction of $\chi$ on each subset $gF$, $g\in G$, is a bijection.
Banakh, Taras +3 more
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Operation of Faddeev-Kernel in Configuration Space [PDF]
We present a practical method to solve Faddeev three-body equations at energies above three-body breakup threshold as integral equations in coordinate space.
G. L. Payne +16 more
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