Euler calculus

Known as: Topological integration

Euler calculus is a methodology from applied algebraic topology and integral geometry that integrates constructible functions and more recently…

Papers overview

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2019

Recall that the Euler characteristic is a generalization of counting. Given a finite set X, the Euler characteristic is its…

2018

We show that integration with respect to the Euler-Poincar\'e characteristic can be extended from the setting of definable sets…

2016

This thesis submitted in partial fulfillment for the degree of Masters of Science in Renewable Energy Technology.

2016

This paper proposes a method to reduce noise in acyclic sensor networks enumerating targets using the integral theory with…

2015

Euler calculus is based on integrating simple functions with respect to the Euler characteristic. This paper makes the case for…

2015

The aim of this note is to give an elementary exposition of Euler calculus for functions constructible with respect to a fixed o…

2012

We study synchronization dynamics in networks of coupled oscillators with bimodal distribution of natural frequencies. This setup…

2012

2007

We solve the problem of counting the total number of observable targets (e.g., persons, vehicles, landmarks) in a region using…

2007

It is a common knowledge that the integer functions definable in simply typed lambda-calculus are exactly the extended…