Publications related to Algebraic curve

Simultaneous optimisation and heat integration of evaporation systems including mechanical vapour recompression and background process

This paper proposes a general superstructure and a Mixed-Integer Nonlinear Programming (MINLP) model for the synthesis and simultaneous optimisation and Heat Integration (HI) of Single- and Multiple Effect Evaporation (SEE/MEE) systems including Mechanical ...

PERGAMON-ELSEVIER SCIENCE LTD2018

Distinct Distances on Algebraic Curves in the Plane

János Pach, Frank de Zeeuw

Let S be a set of n points in R-2 contained in an algebraic curve C of degree d. We prove that the number of distinct distances determined by S is at least c(d)n(4/3), unless C contains a line or a circle. We also prove the lower bound c(d)' min{m(2/3)n(2/ ...

Cambridge Univ Press2017

Algebraic and topological methods in combinatorics

Adrian Claudiu Valculescu

The present thesis deals with problems arising from discrete mathematics, whose proofs make use of tools from algebraic geometry and topology. The thesis is based on four papers that I have co-authored, three of which have been published in journals, and o ...

EPFL2017

Generating Calligraphic Trajectories with Model Predictive Control

Sylvain Calinon

We describe a methodology for the interactive definition of curves and motion paths using a stochastic formulation of optimal control. We demonstrate how the same optimization framework can be used in different ways to generate curves and traces that are g ...

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

Frobenius techniques in birational geometry

Zsolt Patakfalvi

This is a survey for the 2015 AMS Summer Institute on Algebraic Geometry about the Frobenius type techniques recently used extensively in positive characteristic algebraic geometry. We first explain the basic ideas through simple versions of the fundamenta ...

2017

Rational SO(2)- equivariant spectra

Magdalena Kedziorek

We prove that the category of rational SO(2)-equivariant spectra has a simple algebraic model. Furthermore, all of our model categories and Quillen equivalences are monoidal, so we can use this classification to understand ring spectra and module spectra v ...

Geometry & Topology Publications2017

Information-theoretic limitations on approximate quantum cloning and broadcasting

Marius Christopher Lemm

We prove quantitative limitations on any approximate simultaneous cloning or broadcasting of mixed states. The results are based on information-theoretic (entropic) considerations and generalize the well-known no-cloning and no-broadcasting theorems. We al ...

2017

Multiresolution Subdivision Snakes

Michaël Unser, Daniel Andreas Schmitter, Virginie Sophie Uhlmann, Anaïs Laure Marie-Thérèse Badoual

We present a new family of snakes that satisfy the property of multiresolution by exploiting subdivision schemes. We show in a generic way how to construct such snakes based on an admissible subdivision mask. We derive the necessary energy formulations and ...

2017

Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution

Michaël Unser, Julien René Pierre Fageot, Pablo Garcia-Amorena Garcia, Daniel Andreas Schmitter, Anaïs Laure Marie-Thérèse Badoual

In applications that involve interactive curve and surface modeling, the intuitive manipulation of shapes is crucial. For instance, user interaction is facilitated if a geometrical object can be manipulated through control points that interpolate the shape ...

2017

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Simultaneous optimisation and heat integration of evaporation systems including mechanical vapour recompression and background process

Distinct Distances on Algebraic Curves in the Plane

Algebraic and topological methods in combinatorics

Generating Calligraphic Trajectories with Model Predictive Control

On some algebraic and extremal problems in discrete geometry

Frobenius techniques in birational geometry

Rational SO(2)- equivariant spectra

Information-theoretic limitations on approximate quantum cloning and broadcasting

Multiresolution Subdivision Snakes

Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution

On some algebraic and extremal problems in discrete geometry

Simultaneous optimisation and heat integration of evaporation systems including mechanical vapour recompression and background process

Algebraic and topological methods in combinatorics

Rational SO(2)- equivariant spectra

Distinct Distances on Algebraic Curves in the Plane

Generating Calligraphic Trajectories with Model Predictive Control

Frobenius techniques in birational geometry

Information-theoretic limitations on approximate quantum cloning and broadcasting

Compactly-Supported Smooth Interpolators for Shape Modeling with Varying Resolution

Multiresolution Subdivision Snakes