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Presents algebraic and geometric algorithms to deal with a specific problem, which frequently occurs in model-based robotics systems and is of utmost importance in calibrating the complexity of robotics tasks in general. The algorithms are based on several ideas from areas such as elimination theory, optimization, polyhedral theory and Voronoi diagrams. The algorithms were also implemented in a Lisp in a workbench to allow experimentation with shortest path problems.

Computer science --- Artificial intelligence. Robotics. Simulation. Graphics --- 681.3*F22 --- 681.3*I12 --- 681.3*I29 --- 681.3*I3 --- Nonnumerical algorithms and problems: complexity of proof procedures; computations on discrete structures; geometrical problems and computations; pattern matching --See also {?681.3*E2-5}; {681.3*G2}; {?681.3*H2-3} --- Algorithms: algebraic algorithms; nonalgebraic algorithms; analysis of algorithms (Algebraic manipulation; computing methodologies) --- Robotics: manipulators; propelling mechanisms; sensors (Artificial intelli- gence) --- Computer graphics (Computing methodologies) --- 681.3*I3 Computer graphics (Computing methodologies) --- 681.3*I29 Robotics: manipulators; propelling mechanisms; sensors (Artificial intelli- gence) --- 681.3*I12 Algorithms: algebraic algorithms; nonalgebraic algorithms; analysis of algorithms (Algebraic manipulation; computing methodologies) --- 681.3*F22 Nonnumerical algorithms and problems: complexity of proof procedures; computations on discrete structures; geometrical problems and computations; pattern matching --See also {?681.3*E2-5}; {681.3*G2}; {?681.3*H2-3} --- Computer graphics. --- Computer simulation. --- Artificial intelligence. --- Computer Graphics. --- Simulation and Modeling. --- Artificial Intelligence. --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Computer modeling --- Computer models --- Modeling, Computer --- Models, Computer --- Simulation, Computer --- Electromechanical analogies --- Mathematical models --- Model-integrated computing --- Automatic drafting --- Graphic data processing --- Graphics, Computer --- Computer art --- Graphic arts --- Engineering graphics --- Image processing --- Digital techniques