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Abstract: The design and implementation of a library of C-code procedures to perform operations on polyhedra is described. The library supports intersection, union, difference, simplification in context, convex hull, affine image, affine preimage, and computation of dual forms. Since not all of these functions are closed over polyhedra, the library is extended to operate on finite unions of polyhedra. The major design decisions made during the implemention of the library are discussed. The data structure ... (Update)
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BibTeX entry: (Update)
D. Wilde. A Library for Doing Polyhedral Operations. Master's thesis, Oregon State University, Corvallis, Oregon, Dec 1993. http://citeseer.ist.psu.edu/wilde97library.html More
@techreport{ wildewildelibrary,
author = "D. K. Wilde",
title = "A Library for doing polyhedral operations",
number = "RR-2157",
pages = "45 p.",
url = "citeseer.ist.psu.edu/wilde97library.html" }
Citations (may not include all citations):717 Theory of linear and integer programming (context) - Schrijver - 1986
69 Small-dimensional linear programming and convex hulls made e.. (context) - Seidel - 1991
54 A library for doing polyhedral operations - Wilde - 1993
48 The double description method (context) - Motzkin, Raiffa et al. - 1953
34 The ALPHA language and its use for the design of systolic ar.. (context) - Le Verge, Mauras et al. - 1991
28 A survey and comparison of methods for finding all vertices .. (context) - Mattheiss, Rubin - 1980
21 Algorithm for finding a general formula for the non- negativ.. (context) - Chernikova - 1965
19 eles synchrones. PhD thesis, Universit (context) - Mauras, un et al. - 1989
14 A note on chernikova's algorithm (context) - Le Verge - 1992
8 Extension of chernikova's algorithm for solving general mixe.. (context) - Fernandez, Quinton - 1988
7 Resolution and separation theorems for polyhedral convex set.. (context) - Goldman - 1956
7 volume 16 of Pure and Applied Mathematics (context) - Grunbaum - 1967
4 Vertex generation and cardinality constrained linear program.. (context) - Rubin - 1975
3 volume 10 of Monographs on Theoretical Computer Science (context) - Edelsbrunner, Combinatorial - 1987
The graph only includes citing articles where the year of publication is known.
Documents on the same site (http://www.ee.byu.edu/~wilde/pubs.html): More
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