“Surface network construction from non-parallel cross-sections” by Liu, Ju, Low and Bajaj

  • ©Lu Liu, Tao Ju, Daniel Low, and Chandrajit Bajaj




    Surface network construction from non-parallel cross-sections



    Surface construction from incomplete data is a topic of wide interest in geometry processing. A common class of incomplete inputs that arises in several application domains, including bio-medicine and geology, is a stack of curves representing the planar cross-sections of a complete surface. In medical imaging, for example, these curves are typically hand-drawn by physicians to delineate contours of anatomical structures on 2D cross-sections of a 3D image volume generated by MRI, CT or ultrasound. Given a stack of planar cross-sections, a complete 3D surface is desired that connects the curves on each cross-section plane. In particular, such surface needs to be both topologically correct (i.e., closed and interpolating input curves) and geometrically smooth.


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    2. Ju, T., Warren, J. D., Carson, J., Eichele, G., Thaller, C., Chiu, W., Bello, M., and Kakadiaris, I. A. 2005. Building 3d surface networks from 2d curve networks with application to anatomical modeling. The Visual Computer 21, 8–10, 764–773.

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