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

@article{Ma2003PointIA,
  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},
  year={2003},
  volume={20},
  pages={79-99}
}
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
Highly Influential
This paper has highly influenced 10 other papers. REVIEW HIGHLY INFLUENTIAL CITATIONS
Highly Cited
This paper has 94 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
Showing 1-10 of 54 extracted citations

95 Citations

051015'02'05'09'13'17
Citations per Year
Semantic Scholar estimates that this publication has 95 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
Showing 1-10 of 10 references

Making the Oslo algorithm more efficient

  • T. Lyche, K. Morken
  • SIAM J. Numer. Anal
  • 1986

Discrete B - splines and subdivision techniques in computer - aided geometric design and computer graphics

  • E. Cohen, T. Lyche, R. Riesebfeld
  • Comput . Graph . Image Process .
  • 1980

Inserting new knots into B-spline curves

  • W. Boehm
  • Computer-Aided Design
  • 1980
1 Excerpt

Similar Papers

Loading similar papers…