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SUMMARY:Dr. Mei-Heng Yueh (National Taiwan Normal University)
DTSTART:20240306T060000Z
DTEND:20240306T070000Z
DTSTAMP:20260423T052623Z
UID:MAC8028/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MAC8028/21/"
 >Theoretical Foundation of the Stretch Energy Minimization for Area-Preser
 ving Simplicial Mappings</a>\nby Dr. Mei-Heng Yueh (National Taiwan Normal
  University) as part of Trends in Mathematical Research\n\nLecture held in
  NTNU Gongguan S101.\n\nAbstract\nThe stretch energy is an energy function
 al particularly defined for the measurement of the area distortion for sim
 plicial mapping\, which has been applied to efficiently compute area-prese
 rving parameterizations of simplicial surfaces. The stretch energy has a n
 ice geometric interpretation that is helpful for the generalization of the
  functional to higher dimensional manifold mappings. On the application as
 pect\, parameterizations of simplicial surfaces have been widely applied i
 n computer graphics that aim to efficiently compute a diffeomorphism betwe
 en a simplicial surface and a canonical domain. This provides the surface 
 with a unified coordinate system that simplifies various image and geometr
 y processing tasks such as alignment and blending of images and surfaces. 
 In this talk\, I will introduce the theoretical foundation of stretch ener
 gy minimization for the computation of area-preserving parameterizations o
 f simplicial surfaces. Applications in image and surface blending and area
 -preserving deformations will be demonstrated to highlight the practical u
 tility of the parameterizations.\n
LOCATION:https://researchseminars.org/talk/MAC8028/21/
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