Journal of University of Science and Technology of China ›› 2019, Vol. 49 ›› Issue (3): 244-258.DOI: 10.3969/j.issn.0253-2778.2019.03.010

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Tetrahedral mesh approximation to volume images based on variation

LI Hao   

  1. School of Mathematical Sciences, University of Science and Technology of China,Hefei 230026,China
  • Received:2018-03-14 Revised:2018-05-18 Online:2019-03-30 Published:2019-03-30

Abstract: Tetrahedral meshes have been widely used in medicine and visualization. In general,to convert a volume image to a tetrahedral mesh,conventional methods first denoise the input volume image,then segment the image and finally construct a tetrahedral mesh.

Key words: volume images, piecewise constant approximation, tetrahedral mesh generation, total variation, alternating direction method of multipliers