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TZID:Europe/Vienna
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DTSTART:20250330T030000
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BEGIN:VEVENT
DTSTAMP:20260424T125158Z
UID:1741185000@ist.ac.at
DTSTART:20250305T153000
DTEND:20250305T163000
DESCRIPTION:Speaker: Helmut Pottmann\nhosted by Matthew Kwan and Robert Sei
 ringer \nAbstract: Abstract: The geometry of simply isotropic 3-space is o
 ne of the classical Cayley-Klein geometries. Despite its degenerate metric
 \, it possesses numerous results that are very similar to their Euclidean 
 counterparts. Isotropic geometry appears naturally in mechanics and struct
 ural design via the Airy stress surface and leads to new insights on mater
 ial-minimizing forms and structures\, smoothness concepts for polyhedral s
 urfaces and the design of triangle meshes with controlled roughness. Moreo
 ver\, isotropic geometry turns out to be useful for the computational solu
 tion of difficult Euclidean problems. One first solves the isotropic count
 erpart and then uses it to initialize an optimization algorithm for the nu
 merical computation of Euclidean solutions. This is demonstrated at hand o
 f several examples\, most notably for the design of flexible quad meshes w
 ith planar faces (Q-nets). Based on an appropriate novel definition of iso
 metric maps between surfaces in isotropic 3-space one can completely chara
 cterize flexible Q-nets in isotropic 3- space. Surprisingly\, hardly visib
 le shape changes lead to Euclidean flexible Q-nets.
LOCATION:Raiffeisen Lecture Hall\, Central Building\, ISTA
ORGANIZER:Stephanie.Dolot@ist.ac.at
SUMMARY:Helmut Pottmann: Isotropic Geometry: New Results with Applications 
 in Geometric Computing
URL:https://talks-calendar.ista.ac.at/events/5573
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