scholarly journals Configuration space representation of MRI sequences

2021 ◽  
Author(s):  
Carl Ganter
Keyword(s):  
Configuration Space ◽  
Space Representation ◽  
Mri Sequences

Conserved quantum probability currents on stochastic phase space

1981 ◽  
Vol 59 (6) ◽  
pp. 807-811 ◽  
Author(s):  
S. T. Ali ◽  
R. Gagnon ◽  
E. Prugovečki
Keyword(s):  
Phase Space ◽  
Probability Density ◽  
Configuration Space ◽  
Continuity Equation ◽  
Quantum Probability ◽  
Space Representation ◽  
Configuration Representation

It is shown that the continuity equation in stochastic phase space is satisfied if the configuration space representation ξ(x) of the resolution generator is real. It is also shown that the probability density and current merge into the standard ones if ξ(n)(x) is a sequence of real resolution generators which converges to the Dirac δ-function for n → x. A relation between the current on Γξ and the stochastic current in configuration representation is also derived.

scholarly journals Comparison of different configuration space representations for path planning under combinatorial method

2019 ◽  
Vol 14 (1) ◽  
pp. 1 ◽  
Author(s):  
Sanjoy Kumar Debnath ◽  
Rosli Omar ◽  
Nor Badariyah Abdul Latip
Keyword(s):  
Path Planning ◽  
Configuration Space ◽  
Autonomous Vehicle ◽  
Computation Time ◽  
Computational Time ◽  
Space Representation ◽  
Human Beings ◽  
Combinatorial Method ◽  
Algorithm Configuration ◽  
Representation Techniques

<span>The use of autonomous vehicle/robot has been adopted widely to replace human beings in performing dangerous missions in adverse environments. Keeping this in mind, path planning ensures that the autonomous vehicle must safely arrive to its destination with required criteria like lower computation time, shortest travelled path and completeness. There are few kinds of path planning strategies, such as combinatorial method, sampling based method and bio-inspired method. Among them, combinatorial method can accomplish couple of criteria without further adjustment in conventional algorithm. Configuration space provides detailed information about the position of all points in the system and it is the space for all configurations. Therefore, C-space denotes the actual free space zone for the movement of robot and guarantees that the vehicle or robot must not collide with the obstacle. This paper analyses different C-Space representation techniques under combinatorial method based on the past researches and their findings with different criteria such as optimality, completeness, safety, memory uses, real time and computational time etc. Visibility Graph has optimality which is a unique from other</span>

scholarly journals Configuration Space Analysis and Synthesis of Planar Variable Kinematic Joints

2012 ◽  
Author(s):  
Brian J. Slaboch ◽  
Philip A. Voglewede
Keyword(s):  
Configuration Space ◽  
Space Representation ◽  
New Approach ◽  
Space Analysis ◽  
Analysis And Synthesis ◽  
Prismatic Joints ◽  
Space Approach

This paper presents a new approach to the analysis and synthesis of planar variable kinematic joints using a configuration space approach. The advantage of this approach is that the configuration space representation contains both the joint topology and the configuration variables. Based on the same configuration space, different combinations of higher pair equivalent revolute and prismatic joints can be used to analyze and synthesize planar variable kinematic joints. Two practical examples will be presented to illustrate the proposed method.

scholarly journals Semi-Classical Localisation Properties of Quantum Oscillators on a Noncommutative Configuration Space

2015 ◽  
Vol 22 (04) ◽  
pp. 1550021 ◽  
Author(s):  
Fabio Benatti ◽  
Laure Gouba
Keyword(s):  
Phase Space ◽  
Configuration Space ◽  
Classical Limit ◽  
Coherent States ◽  
Point Of View ◽  
Quantum Mechanical ◽  
Wigner Functions ◽  
Quantum Mechanical Oscillators ◽  
Mechanical Oscillators ◽  
Space Noncommutativity

When dealing with the classical limit of two quantum mechanical oscillators on a noncommutative configuration space, the limits corresponding to the removal of configuration-space noncommutativity and position-momentum noncommutativity do not commute. We address this behaviour from the point of view of the phase-space localisation properties of the Wigner functions of coherent states under the two limits.

scholarly journals Topological representation of cloth state for robot manipulation

2021 ◽  
Author(s):  
Fabio Strazzeri ◽  
Carme Torras
Keyword(s):  
State Space ◽  
Configuration Space ◽  
Common Ground ◽  
Low Complexity ◽  
Flag Manifold ◽  
Infinite Dimensional ◽  
Articulated Objects ◽  
Research Goal ◽  
State Graphs ◽  
Deformable Materials

AbstractForty years ago the notion of configuration space (C-space) revolutionised robot motion planning for rigid and articulated objects. Despite great progress, handling deformable materials has remained elusive because of their infinite-dimensional shape-state space. Finding low-complexity representations has become a pressing research goal. This work tries to make a tiny step in this direction by proposing a state representation for textiles relying on the C-space of some distinctive points. A stratification of the configuration space for n points in the cloth is derived from that of the flag manifold, and topological techniques to determine adjacencies in manipulation-centred state graphs are developed. Their algorithmic implementation permits obtaining cloth state–space representations of different granularities and tailored to particular purposes. An example of their usage to distinguish between cloth states having different manipulation affordances is provided. Suggestions on how the proposed state graphs can serve as a common ground to link the perception, planning and manipulation of textiles are also made.

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