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math.NA2015★ 1 cited
Sub-Riemannian Fast Marching in SE(2)
Gonzalo Sanguinetti, Erik Bekkers, Remco Duits +3
We propose a Fast Marching based implementation for computing sub-Riemanninan (SR) geodesics in the roto-translation group SE(2), with a metric depending on a cost induced by the i…
math.NA2014★ 24 cited
Numerical Approaches for Linear Left-invariant Diffusions on SE(2), their Comparison to Exact Solutions, and their Applications in Retinal Imaging
Jiong Zhang, Remco Duits, Gonzalo Sanguinetti +1
Left-invariant PDE-evolutions on the roto-translation group (and their resolvent equations) have been widely studied in the fields of cortical modeling and image analysis.…