Point inversion and projection for NURBS curve and surface: Control polygon approach

  title={Point inversion and projection for NURBS curve and surface: Control polygon approach},
  author={YingLiang Ma and W. Terry Hewitt},
  journal={Computer Aided Geometric Design},
This paper presents an accurate and efficient method to solve both point projection and point inver NURBS curves and surfaces. We first subdivide the NURBS curve or surface into a set of Bézier subc patches. Based on the relationship between the test point and the control polygon of Bézier curve or the point net of the Bézier patch, we extract candidate Bézier subcurves or Bézier patches and then find the app candidate points. Finally, by comparing the distances between the test point and… CONTINUE READING
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