@article{4091,
abstract = {An X-ray probe through a polygon measures the length of intersection between a line and the polygon. This paper considers the properties of various classes of X-ray probes, and shows how they interact to give finite strategies for completely describing convex n-gons. It is shown that (3n/2)+6 probes are sufficient to verify a specified n-gon, while for determining convex polygons (3n-1)/2 X-ray probes are necesssary and 5n+O(1) sufficient, with 3n+O(1) sufficient given that a lower bound on the size of the smallest edge of P is known.},
author = {Herbert Edelsbrunner and Skiena,Steven S},
journal = {SIAM Journal on Computing},
number = {5},
pages = {870 -- 882},
publisher = {SIAM},
title = {{Probing convex polygons with X-Rays}},
doi = {10.1137/0217054 },
volume = {17},
year = {1988},
}
@inproceedings{4096,
author = {Herbert Edelsbrunner},
pages = {201 -- 213},
publisher = {Springer},
title = {{Geometric structures in computational geometry}},
doi = {10.1007/3-540-19488-6_117},
volume = {317},
year = {1988},
}
@inproceedings{4097,
abstract = {Arrangements of curves in the plane are of fundamental significance in many problems of computational and combinatorial geometry (e.g. motion planning, algebraic cell decomposition, etc.). In this paper we study various topological and combinatorial properties of such arrangements under some mild assumptions on the shape of the curves, and develop basic tools for the construction, manipulation, and analysis of these arrangements. Our main results include a generalization of the zone theorem of [EOS], [CGL] to arrangements of curves (in which we show that the combinatorial complexity of the zone of a curve is nearly linear in the number of curves), and an application of (some weaker variant of) that theorem to obtain a nearly quadratic incremental algorithm for the construction of such arrangements.},
author = {Herbert Edelsbrunner and Guibas, Leonidas and Pach, János and Pollack, Richard and Seidel, Raimund and Sharir, Micha},
pages = {214 -- 229},
publisher = {Springer},
title = {{Arrangements of curves in the plane - topology, combinatorics, and algorithms}},
doi = {10.1007/3-540-19488-6_118},
volume = {317},
year = {1988},
}
@misc{4315,
author = {Coyne, Jerry A and Nicholas Barton},
booktitle = {Nature},
pages = {485 -- 486},
publisher = {Nature Publishing Group},
title = {{What do we know about speciation ?}},
doi = {10.1038/331485a0},
volume = {331},
year = {1988},
}
@misc{4316,
author = {Nicholas Barton and Jones, Steve},
booktitle = {Nature},
pages = {597 -- 597},
publisher = {Nature Publishing Group},
title = {{Molecular evolutionary genetics}},
doi = {10.1038/332597a0},
volume = {332},
year = {1988},
}
@inbook{4317,
author = {Nicholas Barton},
booktitle = {Analytical biogeography},
editor = {Myers, Alan A and Giller, Paul S},
pages = {185 -- 218},
publisher = {Chapman Hall},
title = {{Speciation}},
year = {1988},
}
@misc{4318,
author = {Nicholas Barton and Jones, Steve and Mallet, James L},
booktitle = {Nature},
pages = {13 -- 14},
publisher = {Nature Publishing Group},
title = {{No barriers to speciation}},
doi = {10.1038/336013a0},
volume = {336},
year = {1988},
}
@article{3655,
author = {Dallas, John F and Nicholas Barton and Dover, Gabriel A.},
journal = {Molecular Biology and Evolution},
number = {6},
pages = {660 -- 674},
publisher = {Oxford University Press},
title = {{Interracial rDNA variation in the grasshopper Podisma pedestris}},
volume = {5},
year = {1988},
}
@article{2521,
author = {Nishimura, Masaki and Ryuichi Shigemoto and Matsubayashi, K and Mimori, Y and Kameyama, Masakuni},
journal = {Clinical Neurology},
number = {11},
pages = {1441 -- 1444},
publisher = {Societas Neurologica Japonica},
title = {{Meningoencephalitis during the pre-icteric phase of hepatitis A - a case report}},
volume = {27},
year = {1987},
}
@book{3900,
abstract = {Computational geometry as an area of research in its own right emerged in the early seventies of this century. Right from the beginning, it was obvious that strong connections of various kinds exist to questions studied in the considerably older field of combinatorial geometry. For example, the combinatorial structure of a geometric problem usually decides which algorithmic method solves the problem most efficiently. Furthermore, the analysis of an algorithm often requires a great deal of combinatorial knowledge. As it turns out, however, the connection between the two research areas commonly referred to as computa tional geometry and combinatorial geometry is not as lop-sided as it appears. Indeed, the interest in computational issues in geometry gives a new and con structive direction to the combinatorial study of geometry. It is the intention of this book to demonstrate that computational and com binatorial investigations in geometry are doomed to profit from each other. To reach this goal, I designed this book to consist of three parts, acorn binatorial part, a computational part, and one that presents applications of the results of the first two parts. The choice of the topics covered in this book was guided by my attempt to describe the most fundamental algorithms in computational geometry that have an interesting combinatorial structure. In this early stage geometric transforms played an important role as they reveal connections between seemingly unrelated problems and thus help to structure the field.},
author = {Edelsbrunner, Herbert},
isbn = {9783540137221},
publisher = {Springer},
title = {{Algorithms in Combinatorial Geometry}},
volume = {10},
year = {1987},
}