Concentric tessellation maps and curvature continuous guided surfaces

@article{Karciauskas2007ConcentricTM,
  title={Concentric tessellation maps and curvature continuous guided surfaces},
  author={Kestutis Karciauskas and J{\"o}rg Peters},
  journal={Computer Aided Geometric Design},
  year={2007},
  volume={24},
  pages={99-111}
}
A multi-sided hole in a surface can be filled by a sequence of nested, smoothly joined surface rings. We show how to generate such a sequence so that (i) the resulting surface is C2 (also in the limit), (ii) the rings consist of standard splines of moderate degree and (iii) the hole filling closely follows the shape of and replaces a guide surface whose good shape is desirable, but whose representation is undesirable. To preserve the shape, the guided rings sample position and higher-order… CONTINUE READING
BETA
Highly Cited
This paper has 54 citations. REVIEW CITATIONS

Citations

Publications citing this paper.
SHOWING 1-10 OF 24 CITATIONS, ESTIMATED 44% COVERAGE

54 Citations

01020'08'11'14'17
Citations per Year
Semantic Scholar estimates that this publication has 54 citations based on the available data.

See our FAQ for additional information.

References

Publications referenced by this paper.
SHOWING 1-10 OF 15 REFERENCES

Computing

  • K. Karčiauskas, J. Peters. Surfaces with polar structure
  • pages xx+1–8,
  • 2006
1 Excerpt

Shape charaterization of sub - division surfaces – Case studies

  • K. Karčiauskas, J. Peters, U. Reif
  • Computer Aided Geometric Design
  • 2006

Analysis of generalized Bspline subdivision algorithms

  • U. Reif
  • SIAM J of Numer . Anal .
  • 2004

San Diego

  • Joe Warren, Henrik Weimer. Subdivision Methods for Geometric Design. Publishers
  • CA,
  • 2002
1 Excerpt

35(2):728–748

  • J. Peters, U. Reif. Analysis of generalized B-spline subdivision Anal.
  • April
  • 1998

Similar Papers

Loading similar papers…