Robotics has come to attract the attention of mathematicians and theoretical computer scientists to a rapidly increasing degree. Initial investigations have shown that robotics is a rich source of deep theoretical problems, which range over computational geometry, control theory, and many aspects of physics, and whose solutions draw upon methods developed in subjects as diverse as automata theory, algebraic topology, and Fourier analysis.Note that if a is the abscissa of a center AT, of some disc B, G, L, then ka is the number of Voronoi edges on the boundary ... Obtain the final diagram Vor(S) by taking the union of Vor(R) and of Vor(L) with C, and then by discarding (portions of)anbsp;...
|Title||:||Planning, Geometry, and Complexity of Robot Motion|
|Author||:||Jacob T. Schwartz|
|Publisher||:||Intellect Books - 1987-01|