TY - BOOK AU - Chazelle,Bernard AU - Goodman,Jacob E. AU - Pollack,Richard AU - Pollack,Richard TI - Advances in Discrete and Computational Geometry T2 - Contemporary Mathematics SN - 9780821878149 AV - QA167 -- .A29 1999eb U1 - 516/.13 PY - 1998/// CY - Providence PB - American Mathematical Society KW - Combinatorial geometry -- Congresses KW - Geometry -- Data processing -- Congresses KW - Electronic books N1 - Intro -- Contents -- Preface -- Geometric range searching and its relatives -- Deformed products and maximal shadows of polytopes -- Flag complexes, labelled rooted trees, and star shellings -- Discrepancy bounds for geometric set systems with square incidence matrices -- Computational topology -- Recent progress on packing and covering -- Acoptic polyhedra -- A proof of the strict monotone 4-step conjecture -- Interactions between real algebraic geometry and discrete and computational geometry -- Open problems in the combinatorics of visibility and illumination -- Halving lines and perfect cross-matchings -- Three-dimensional grid drawings of graphs -- On polygonal covers -- The universality theorems for oriented matroids and polytopes -- Periodic and aperiodic tilings of En -- The early years of computational geometry-a personal memoir -- Arrangements of surfaces in higher dimensions -- Geometric discrepancy theory -- Proof of Reay's conjecture on certain positive-dimensional intersections -- Progress in geometric transversal theory -- Recent progress on polytopes -- Appendix: Application challenges to computational geometry UR - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3112973 ER -