@CONFERENCE\{IMM2007-05516, author = "B. Jakobsen and J. A. B{\ae}rentzen and N. J. Christensen", title = "Variational Volumetric Surface Reconstruction from", year = "2007", month = "sep", booktitle = "IEEE/{EG} International Symposium on Volume Graphics", volume = "", series = "", editor = "", publisher = "", organization = "", address = "", url = "http://www2.compute.dtu.dk/pubdb/pubs/5516-full.html", abstract = "Reconstruction of smooth surfaces from point sets is an important problem in many applications since this sort of data often appear in real-life scenarios. This paper presents method for solving this this problem at interactive rates by means of second order energy minimization obtained by solving \&\#9651;2 = 0 on a discrete scalar field using an iterative multigrid approach. Every step in the reconstruction process takes place on the {GPU}. Consequently, the surface is immediately available for any standard volume visualization method utilizing packed volume textures. This eliminates the need for lare amounts of texture transfers or a costly polygonization step." }