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SUMMARY:An elementary approach to constructing pseudo-cubic C^1-splines on
  the Stiefel manifold
DTSTART:20220516T161500
DTEND:20220516T171500
DTSTAMP:20260407T114654Z
UID:7fb94c66f068136ae4fdf6563d3801975f76774b2aed02c79526a55f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Ralf Zimmermann (University of Southern Denmark)\nA standard a
 pproach to interpolating a manifold-valued function is to map the given da
 ta set to the tangent space at a suitable base point\, perform the actual 
 interpolation operations in the tangent space\, which is a flat vector spa
 ce\, and to map the interpolation results back to the manifold. The practi
 cal execution of this approach requires methods for computing the Riemanni
 an normal coordinates or invertible retractions on the manifold in questio
 n\, the latter of which can be thought thought of as an approximation of t
 he former. However\, the approach is local in nature and ceases to work\, 
 when the data set exceeds the domain on which the coordinate maps are inve
 rtible.\n\nIn this talk\, we present an elementary approach to construct n
 on-local manifold C^1-interpolants. More precisely\, we will develop a met
 hod for constructing a course of pseudo-cubic manifold splines that is dif
 ferentiable also at the connecting points.\n\nThe method will be demonstra
 ted by means of numerical experiments\, where we consider interpolation pr
 oblems on the Stiefel manifold of orthogonal frames.
LOCATION:SG 0211 https://plan.epfl.ch/?room==SG%200211
STATUS:CONFIRMED
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