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20062024
most citedObservers for invariant systems on Lie groups with biased input measurements and homogeneous outputs

53 citations · 180 across the 22 of their papers we have counts for

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5 papers · 1 filter

math.OC2018

A Geometric Observer for Scene Reconstruction Using Plenoptic Cameras

Sean G. P. O'Brien, Jochen Trumpf, Viorela Ila +1

This paper proposes an observer for generating depth maps of a scene from a sequence of measurements acquired by a two-plane light-field (plenoptic) camera. The observer is based o…

math.OC2015★ 3 cited

Gradient-like observer design on the Special Euclidean group SE(3) with system outputs on the real projective space

Minh-Duc Hua, Tarek Hamel, Robert Mahony +1

A nonlinear observer on the Special Euclidean group for full pose estimation, that takes the system outputs on the real projective space directly as inputs, is pro…

math.OC2008★ 6 cited

Observer design for invariant systems with homogeneous observations

C. Lageman, J. Trumpf, R. Mahony

This paper considers the design of nonlinear observers for invariant systems posed on finite-dimensional connected Lie groups with measurements generated by a transitive group acti…

math.OC2008★ 2 cited

Gradient-like observers for invariant dynamics on a Lie group

C. Lageman, J. Trumpf, R. Mahony

This paper proposes a design methodology for non-linear state observers for invariant kinematic systems posed on finite dimensional connected Lie groups, and studies the associated…

math.OC2007★ 10 cited

Newton's method on Graßmann manifolds

Uwe Helmke, Knut Hüper, Jochen Trumpf

A general class of Newton algorithms on Graßmann and Lagrange-Graßmann manifolds is introduced, that depends on an arbitrary pair of local coordinates. Local quadratic convergence…