The goal of the thesis was to simulate numerically some equilibrium equationsof spatial elastica, where the equations simulate an elastic rod that has been de-formed. The equations are taken from the article ?Analytical ...

Former er typisk beskrecet som det som er igjen av et objekt uten å ta hensyn til plassering, rotasjon og størrelse. En stor del av formanalyse består av å definere likheter og forskjeller mellom formene for å utføre ulike ...

A rigid body model for the dynamics of a marine vessel, used in simulations of offshore pipe-lay operations, gives rise to a set of ordinary differential equations with controls. The system is input–output passive. We ...

Geometric numerical integration schemes have been studied for rigid body attitudecontrol problems. We consider symplectic integrators and present a Lie group varia-tional integrator and a discrete gradient method. The two ...

In this paper we are concerned with the approach to shape analysis based on the so called Square Root Velocity Transform (SRVT). We propose a generalisation of the SRVT from Euclidean spaces to shape spaces of curves on ...

Signatures provide a succinct description of certain features of paths in a reparametrization invariant way. We propose a method for classifying shapes based on signatures, and compare it to current approaches based on the ...

Over the past few years, deep learning has risen to the foreground as a topic of massive interest, mainly as a result of successes obtained in solving large-scale image processing tasks. There are multiple challenging ...

Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation

The numerical method of Kahan applied to quadratic differential equations is known to often generate integrable maps in low dimensions and can in more general situations exhibit preserved measures and integrals. Computerized ...