Optimal slicing of free-form surfaces

  title={Optimal slicing of free-form surfaces},
  author={Tait S. Smith and Rida T. Farouki and Mohammad al-Kandari and Helmut Pottmann},
  journal={Computer Aided Geometric Design},
Many applications, such as contour machining, rapid prototyping, and reverse engineering by laser scanner or coordinate measuring machine, involve sampling of free-from surfaces along section cuts by a family of parallel planes with equidistant spacing ∆ and common normal N. To ensure that such planar sections provide faithful descriptions of the shape of a surface, it is desirable to choose the relative orientation that maximizes, over the entire surface, the minimum angle between N and the… CONTINUE READING
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