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SUMMARY:Surface reconstruction based on Vector Inpainting - Jooyoung Hahn 
 (University of Graz)
DTSTART:20120503T150000Z
DTEND:20120503T163000Z
UID:TALK37766@talks.cam.ac.uk
CONTACT:Marc Briant
DESCRIPTION:In this talk\, we present a surface reconstruction via 2D stro
 kes and\na vector field on the strokes based on a two-step method. In the 
 first step\,\nfrom sparse strokes drawn by artists and a given vector fiel
 d on the strokes\,\nwe propose a nonlinear vector interpolation combining 
 total variation (TV) and\n$H^1$ regularization with a curl-free constraint
  for obtaining a dense vector\nfield. In the second step\, a height map is
  obtained by integrating the dense\nvector field in the first step. Jump d
 iscontinuities in surface and\ndiscontinuities of surface gradients can be
  well reconstructed without any\nsurface distortion. We also provide a fas
 t and efficient algorithm for solving\nthe proposed functionals. Since vec
 tors on the strokes are interpreted as a\nprojection of surface gradients 
 onto the plane\, different types of strokes are\neasily devised to generat
 e geometrically crucial structures such as ridge\,\nvalley\, jump\, bump\,
  and dip on the surface. The stroke types help users to\ncreate a surface 
 which they intuitively imagine from 2D strokes. We compare our\nresults wi
 th conventional methods via many examples.
LOCATION:MR14\, CMS
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