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Homotopy techniques for real-time visualization of geometric tangent problems
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Source Annual Symposium on Computational Geometry archive
Proceedings of the eighteenth annual symposium on Computational geometry table of contents
Barcelona, Spain
Pages: 275 - 276  
Year of Publication: 2002
ISBN:1-58113-504-1
Authors
Daniel Kotzor  Technische Universität München
Thorsten Theobald  Technische Universität München
Sponsors
SIGGRAPH: ACM Special Interest Group on Computer Graphics and Interactive Techniques
SIGACT: ACM Special Interest Group on Algorithms and Computation Theory
Publisher
ACM  New York, NY, USA
Bibliometrics
Downloads (6 Weeks): 2,   Downloads (12 Months): 11,   Citation Count: 0
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ABSTRACT

(MATH) This note accompanies a video presentation on the use of homotopy methods for real-time visualizing a class of geometric tangent problems in $\RR3.


REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

 
1
P. Agarwal, B. Aronov, and M. Sharir. Line transversals of balls and smallest enclosing cylinders in 3 dim. Discrete Comput. Geom., 21:373--388, 1999.
 
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D. Cox, J. Little, and D. O'Shea. Using Algebraic Geometry, vol. 185 of GTM. Springer, New York, 1998.
 
4
O. Devillers, V. Dujmovic, H. Everett et. al. A linear bound on the expected number of visibility events. Preprint, 2002.
 
5
O. Devillers, B. Mourrain, F. Preparata, and P. Trébuchet. On circular cylinders by 4 or 5 points in space. Technical Report 4195, INRIA Lorraine, 2001.
 
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I. Macdonald, J. Pach, and T. Theobald. Common tangents to four unit balls in $\mathbbR^3$. Discrete Comput. Geom., 26:1--17, 2001.
 
8
U. Kortenkamp and J. Richter-Gebert. Dynamic geometry I: The problem of continuity. In Proc. European Workshop Comput. Geom. 1999, 51--53.
 
9
E. Schömer, J. Sellen, M. Teichmann, and C. Yap. Smallest enclosing cylinders. Algorithmica, 27:170--186, 2000.
 
10
(MATH) 10. F. Sottile, T. Theobald. Lines tangent to 2n-2 spheres in $\RRn. To appear in Trans. Am. Math. Soc.
 
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(MATH) 12. T. Theobald. How to realize a given number of tangents to 4 unit balls in $\mathbbR3. To app. in Mathematika.
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Collaborative Colleagues:
Daniel Kotzor: colleagues
Thorsten Theobald: colleagues