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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.
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D. Cox, J. Little, and D. O'Shea. Using Algebraic Geometry, vol. 185 of GTM. Springer, New York, 1998.
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O. Devillers, V. Dujmovic, H. Everett et. al. A linear bound on the expected number of visibility events. Preprint, 2002.
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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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U. Kortenkamp and J. Richter-Gebert. Dynamic geometry I: The problem of continuity. In Proc. European Workshop Comput. Geom. 1999, 51--53.
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E. Schömer, J. Sellen, M. Teichmann, and C. Yap. Smallest enclosing cylinders. Algorithmica, 27:170--186, 2000.
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(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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