The inverse moment problem for convex polytopes (original) (raw)

The inverse moment problem for convex polytopes: implementation aspects

sinai robins

arXiv (Cornell University), 2014

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On moments of a polytope

Boris Shapiro

Analysis and Mathematical Physics

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Moment Varieties of Measures on Polytopes

Boris Shapiro

ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA - CLASSE DI SCIENZE

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Moment-angle complexes and polyhedral products for convex polytopes

Anton Ayzenberg

arXiv (Cornell University), 2010

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Uniform decompositions of polytopes

Daniel Berend

Applicationes Mathematicae, 2006

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On the Convex Hull of Random Points in a Polytope

Rex Dwyer

Journal of Applied Probability, 1988

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Explicit formulae for polyhedra moments

Alexander Tuzikov

Pattern Recognition Letters, 2001

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Polytopes: Abstract, Convex and Computational

Asia Weiss, Peter McMullen

Polytopes: Abstract, Convex and Computational, 1994

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Cone decompositions of non-simple polytopes

Leonor Godinho

Journal of Symplectic Geometry, 2016

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A friendly invitation to Fourier analysis on polytopes

sinai robins

2021

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A new algorithm to find all vertices of a polytope

Khang Do Ba

Operations Research Letters, 1989

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A Laplace transform algorithm for the volume of a convex polytope

Jean B. Lasserre

Journal of the ACM, 2001

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An output-sensitive algorithm for computing projections of resultant polytopes

Christos Konaxis, Luis PeƱaranda

Proceedings of the 2012 symposuim on Computational Geometry - SoCG '12, 2012

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A friendly introduction to Fourier analysis on polytopes

sinai robins

2021

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A Polytope Related to Empirical Distributions, Plane Trees, Parking Functions, and the Associahedron

Jim Pitman

Discrete & Computational Geometry, 2002

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Fast projection method for a special class of polytopes with applications

PAOLO D'ALESSANDRO

RAIRO - Operations Research, 1988

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Effective lattice point counting in rational convex polytopes

Ruriko Yoshida

Journal of Symbolic Computation, 2004

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Representations and characterizations of vertices of bounded-shape partition polytopes

Shmuel Onn

Linear Algebra and its Applications, 1998

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A problem in enumerating extreme points, and an efficient algorithm for one class of polytopes

Kata Murty

Optimization Letters, 2008

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Harmonic Center of a Closed Convex Polytope: Definition, Calculation and Some Properties

Vilas Patwardhan

2020

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Further steps on the reconstruction of convex polyominoes from orthogonal projections

Lama Tarsissi

Journal of Combinatorial Optimization

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Efficient Computation of Newton Polytopes of Specialized Resultants

Luis PeƱaranda

arXiv preprint arXiv:1108.5985, 2011

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On the convex hull of uniform random points in a simpled-polytope

Fernando Affentranger

Discrete & Computational Geometry, 1991

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On the upper-bound conjecture for convex polytopes

Peter McMullen

Journal of Combinatorial Theory, Series B, 1971

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Fast and robust retrieval of Minkowski sums of rotating convex polyhedra in 3-space

Efi Fogel

2010

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Computing faces up to k dimensions of a Minkowski Sum of Polytopes

Christophe Weibel

Canadian Conference on Computational Geometry, 2005

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Linear time approximation of 3D convex polytopes

Mario Lopez

Computational Geometry, 2002

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Reconstructing polygons from moments with connections to array processing

Peyman Milanfar

IEEE Transactions on Signal Processing, 1995

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A simplicial algorithm for testing the integral properties of polytopes: A revision

Zaifu Yang

1994

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Finding Optimal Shadows of Polytopes

P. Gritzmann

Discrete & Computational Geometry, 2000

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Outer Normal Transforms of Convex Polytopes

hiroshi maehara

Results in Mathematics, 2016

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