Charles A Micchelli
Journal of Approximation Theory
This paper examines the complexity of several geometric problems due to unbounded dimension. The problems considered are: (i) minimum cover of points by unit cubes, (ii) minimum cover of points by unit balls, and (iii) minimum number of lines to hit a set of balls. Each of these problems is proven not to have a polynomial approximation scheme unless P = NP. Specific lower bounds on the error ratios attainable in polynomial time are given, assuming P ≠ NP. In particular, it is shown that covering by two cubes is in P while covering by three cubes is NP-complete. © 1990, Academic Press Limited. All rights reserved.
Charles A Micchelli
Journal of Approximation Theory
Frank R. Libsch, Takatoshi Tsujimura
Active Matrix Liquid Crystal Displays Technology and Applications 1997
F. Odeh, I. Tadjbakhsh
Archive for Rational Mechanics and Analysis
S.F. Fan, W.B. Yun, et al.
Proceedings of SPIE 1989