Publications related to Incidence geometry

Method, apparatus and program for processing a circular light field

Martin Vetterli, Loïc Arnaud Baboulaz, Zhou Xue

Method for processing a circular light field comprising the step of receiving or storing a circular light field matrix, wherein the circular light field matrix comprises pixel data for different circumferential angles and for different incidence angles, wh ...

2017

On some algebraic and extremal problems in discrete geometry

Seyed Hossein Nassajianmojarrad

In the present thesis, we delve into different extremal and algebraic problems arising from combinatorial geometry. Specifically, we consider the following problems. For any integer

n\ge 3

, we define

e(n)

to be the minimum positive integer such that an ...

EPFL2017

On the existence of ordinary triangles

Sebastian Urban Stich, Radoslav Fulek, Márton Naszódi

Let P be a finite point set in the plane. A \emph{c-ordinary triangle} in P is a subset of P consisting of three non-collinear points such that each of the three lines determined by the three points contains at most c points of P. Motivated by a question o ...

Elsevier2017

Extension complexity of stable set polytopes of bipartite graphs

Yuri Faenza, Manuel Francesco Aprile

The extension complexity xc(P) of a polytope P is the minimum number of facets of a polytope that affinely projects to P. Let G be a bipartite graph with n vertices, m edges, and no isolated vertices. Let STAB(G) be the convex hull of the stable sets of G. ...

Springer2017

Computational development of the nanoporous materials genome

Berend Smit, Peter George Boyd, Yongjin Lee

There is currently a push towards big data and data mining in materials research to accelerate discovery. Zeolites, metal-organic frameworks and other related crystalline porous materials are not immune to this phenomenon, as evidenced by the proliferation ...

Nature Publishing Group2017

A Szemeredi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

Van Thang Pham

We prove a Szemeredi-Trotter type theorem and a sum product estimate in the setting of finite quasifields. These estimates generalize results of the fourth author, of Garaev, and of Vu. We generalize results of Gyarmati and Sarkozy on the solvability of th ...

Academic Press Inc Elsevier Science2017

Modeling and evaluation of damping coefficient of eddy current dampers in rotordynamic applications

Eddy current dampers (ECD) can be used to introduce damping in rotordynamic applications. ECD5 are contactless in nature and can be made to introduce negligible drag force, thus being a perfect match for passive magnetic bearings such as permanent magnet b ...

Academic Press Ltd- Elsevier Science Ltd2016

On The Number Of Ordinary Conics

Frank de Zeeuw, Adrian Claudiu Valculescu

We prove a lower bound on the number of ordinary conics determined by a finite point set in R-2. An ordinary conic for S subset of R-2 is a conic that is determined by five points of S and contains no other points of S. Wiseman and Wilson proved the Sylves ...

Siam Publications2016

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On some algebraic and extremal problems in discrete geometry

Seyed Hossein Nassajianmojarrad

In the present thesis, we delve into different extremal and algebraic problems arising from combinatorial geometry. Specifically, we consider the following problems. For any integer

n\ge 3

, we define

e(n)

to be the minimum positive integer such that an ...

EPFL2017

Incidence geometry

Matching fields and lattice points of simplices

Geometry-aware Deep Network for Single-Image Novel View Synthesis

Method, apparatus and program for processing a circular light field

On some algebraic and extremal problems in discrete geometry

On the existence of ordinary triangles

Extension complexity of stable set polytopes of bipartite graphs

Computational development of the nanoporous materials genome

A Szemeredi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

Modeling and evaluation of damping coefficient of eddy current dampers in rotordynamic applications

On The Number Of Ordinary Conics

Graph Chatbot

Chat with Graph Search

On some algebraic and extremal problems in discrete geometry

Extension complexity of stable set polytopes of bipartite graphs

Method, apparatus and program for processing a circular light field

Matching fields and lattice points of simplices

On The Number Of Ordinary Conics

Modeling and evaluation of damping coefficient of eddy current dampers in rotordynamic applications

A Szemeredi-Trotter type theorem, sum-product estimates in finite quasifields, and related results

Geometry-aware Deep Network for Single-Image Novel View Synthesis

On the existence of ordinary triangles

Computational development of the nanoporous materials genome