Publication: Offsets to conics and quadrics: a new determinantal representation for their implicit equation
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2019-02-16
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Association for Computing Machinery (ACM)
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Abstract
A new determinantal presentation of the implicit equation for offsets to non degenerate conics and quadrics is introduced which is specially well suited for intersection purposes.
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"© ACM, 2019. This is the author's version of the work. It is posted here by permission of ACM for your personal use. Not for redistribution. The definitive version was published in ACM COMMUNICATIONS IN COMPUTER ALGEBRA, {VOL. 52, ISS. 3, (SEPTEMBER 2018)} http://doi.acm.org/10.1145/3313880.3313890"
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1
F. Anton, I. Emiris, B. Mourrain and M. Teillaud. The offset to an algebraic curve and an application to conics. In Proceedings of the 2005 International Conference on Computational Science and Its Applications - Volume Part I, ICCSA'05, pages 683-696, Berlin, Heidelberg, 2005. Springer-Verlag.
2
R. T. Farouki and J. Srinathu. A real-time CNC interpolator algorithm for trimming and filling planar offset curves. Computer-Aided Design, 86:1-11, 2017.
3
R. T. Farouki and C. A. Neff. Algebraic properties of plane offset curves. Computer Aided Geometric Design, 7:101-127, 1990.
4
T. Maekawa. An overview to offset curves and surfaces. Computer-Aided Design, 31:165-173, 1999.
5
W. Wang, J. Wang and M.-S. Kim. An algebraic condition for the separation of two ellipsoids. Computer Aided Geometric Design 18:531-539, 2001.