Linear onesided stability of MAT for weakly injective 3D domain

@inproceedings{Choi2002LinearOS,
  title={Linear onesided stability of MAT for weakly injective 3D domain},
  author={Sung Woo Choi and Hans-Peter Seidel},
  booktitle={Symposium on Solid Modeling and Applications},
  year={2002}
}
Despite its usefulness in many applications, the medial axis transform (MAT) is very sensitive to the change of the boundary in the sense that, even if a shape is perturbed only slightly, the Hausdorff distance between the MATs of the original shape and the perturbed one may be large. However, it is known that MATs of 2D domains are stable if we view this phenomenon with the one-sided Hausdorff distance. This result depends on the fact that MATs are stable if the differences between them are… CONTINUE READING

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References

Publications referenced by this paper.
SHOWING 1-2 OF 2 REFERENCES

Stability analysis of medial axis transform under relative Hausdorff distance

S. W. Choi, S.-W. Lee
  • Proc. 15th International Conference on Pattern Recognition, volume 3, pages 139–142, Barcelona, Spain, September
  • 2000
VIEW 7 EXCERPTS
HIGHLY INFLUENTIAL

The power crust

  • Symposium on Solid Modeling and Applications
  • 2001
VIEW 3 EXCERPTS
HIGHLY INFLUENTIAL