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Journal ArticleDOI

Computing the configuration space for a robot on a mesh-of-processors☆

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TLDR
In this paper, a systolic algorithm for computing the configuration space of an arrangement of arbitrary obstacles in the plane for a rectilinearly convex robot is presented, where the obstacles and the robot are assumed to be represented in digitized form by a √ n × √n nibary image.
Abstract
In this paper, we present a systolic algorithm for computing the configuration space of an arrangement of arbitrary obstacles in the plane for a rectilinearly convex robot. The obstacles and the robot are assumed to be represented in digitized form by a √n × √n nibary image. The algorithm is designed for a Mesh-of-Processors architecture with n processors (using the canonical representation of an image on a processor array) and has an execution time of O(√n) which is asymptotically optimal.

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Citations
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Journal ArticleDOI

Computation of configuration-space obstacles using the fast Fourier transform

TL;DR: This paper presents a new method for computing the configuration-space map of obstacles that is used in motion-planning algorithms, and is particularly promising for workspaces with many and/or complicated obstacles, or when the shape of the robot is not simple.
DissertationDOI

Random Networks in Configuration Space for Fast Path Planning

TL;DR: A new path planning method which computes collision-free paths for robots of virtually any type moving among stationary obstacles, and it is proved that this problem is NP-complete.
Journal ArticleDOI

Multi-start simulated annealing heuristic for the location routing problem with simultaneous pickup and delivery

TL;DR: A multi-start simulated annealing (MSA) algorithm for solving LRPSPD is proposed which incorporates multi- Start hill climbing strategy into simulatedAnnealing framework and results indicate that the multi- start strategy can significantly enhance the performance of traditional single- start simulated anNEaling algorithm.
BookDOI

Advances in Spatial Data Handling

TL;DR: A new method called SCART which differs from conventional decision trees by considering the specifics of geographical data, namely their organisation in thematic layers, and their spatial relationships is proposed.
Journal ArticleDOI

A Survey of Global Configuration-Space Mapping Techniques for a Single Robot in a Static Environment:

TL;DR: This survey aims to provide the developer of a C-space-based system with an overview of those techniques that map the global C- space of a single robot in a static environment and discusses issues concerning how the robot and its environment are modeled and describes a range of schemes used to represent aC-space map.
References
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Journal ArticleDOI

Spatial Planning: A Configuration Space Approach

TL;DR: In this article, the authors propose an approach based on characterizing the position and orientation of an object as a single point in a configuration space, in which each coordinate represents a degree of freedom in the position or orientation of the object.
Journal ArticleDOI

Sorting on a mesh-connected parallel computer

TL;DR: Two algorithms are presented for sorting n2 elements on an n × n mesh-connected processor array that require O (n) routing and comparison steps and are shown to be optimal in time within small constant factors.
Journal ArticleDOI

Finding Connected Components and Connected Ones on a Mesh-Connected Parallel Computer

TL;DR: An O(q^3 (q + d)n\log n) algorithm to find the connected components of G on a q-dimensional mesh-connected parallel computer and shows that the connected ones problem can be solved in time.
Journal ArticleDOI

Computer Architectures for Pictorial Information Systems

P.-E. Danielsson, +1 more
- 01 Nov 1981 - 
TL;DR: In the international search for the optimal image processing computer architecture, image parallelism is the key to cost effectiveness.
Journal ArticleDOI

Parallel computer architectures for image processing

TL;DR: The fundamental problems of developing an effective MSIMD system are discussed and a simple SIMD/MIMD computational model for comparison with such systems is proposed.
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