Browsing NTNU Open by Author "Celledoni, Elena"
Now showing items 21-30 of 30
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Predicting bending moments with machine learning
Celledoni, Elena; Gustad, Halvor Snersrud; Kopylov, Nikita; Sundklakk, Henrik Sperre (Peer reviewed; Journal article, 2019)We investigate the possibility of predicting the bending moment of slender structures based on a limited number of deflection measurements. These predictions can help to estimate the wear and tear of the structures. We ... -
Rigid Body Attitude Control
Kleivedalen, Anne Mari (Master thesis, 2014)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 ... -
Shape analysis on homogeneous spaces: a generalised SRVT framework
Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander (Chapter, 2017)Shape analysis is ubiquitous in problems of pattern and object recognition and has developed considerably in the last decade. The use of shapes is natural in applications where one wants to compare curves independently of ... -
Shape analysis on lie groups and homogeneous spaces
Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander (Journal article, 2017)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 in Shape Analysis: an Efficient Approach to Motion Identification
Lystad, Pål Erik (Master thesis, 2019)Signaturer gir en konsis beskrivelse av visse geometriske egenskaper ved en kurve - på en reparameteriseringsinvariant måte. Vi foreslår en metode for å klassifisere former basert på signaturer, og sammenligner den med ... -
Signatures in Shape analysis: An efficient approach to motion identification
Celledoni, Elena; Lystad, Pål Erik; Tapia, Nikolas (Peer reviewed; Journal article, 2019)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 ... -
Structure preserving integration of constrained mechanical systems
Høiseth, Eirik Hoel (Doctoral theses at NTNU;2017:157, Doctoral thesis, 2017) -
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation
van der Kamp, Peter H.; Celledoni, Elena; Mclachlan, Robert, i; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem (Peer reviewed; Journal article, 2019)Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation -
Two classes of quadratic vector fields for which the Kahan discretization is integrable
Celledoni, Elena; McLachlan, I. Robert; McLaren, David; Owren, Brynjulf; Quispel, Reinout (Journal article, 2016) -
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps
Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H. (Peer reviewed; Journal article, 2019)In this letter we propose a systematic approach for detecting and calculating integrals and preserved measures of rational maps. The approach is based on the use of cofactors and discrete Darboux polynomials and relies on ...