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How to Solve a Cubic Equation, Part 5: Back to Numerics

Published: 01 May 2007 Publication History

Abstract

Jim Blinn continues his discussion on cubic equations.

References

[1]
D. Hilbert, Theory of Algebraic Invariants, Cambridge Univ. Press, 1993.
[2]
J. Blinn, "How to Solve a Quadratic Equation, Part 2," IEEE CG&A, vol. 26, no. 2, 2006, p. 82)
[3]
M. La Porte, "Une Formulation Numériquement Stable Donnant les Racines Réelles de l'Équation du 3'eme Degré," IFP Report, no. 21516, Oct. 1973.
[4]
J. Vignes, "New Methods for Evaluating the Validity of the Results of Mathematical Computations," Mathematics and Computers in Simulation XX, North-Holland Publishing, 1978, pp. 227–249.

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  • (2022)High-Performance Polynomial Root Finding for GraphicsProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/35438655:3(1-15)Online publication date: 27-Jul-2022
  • (2022)Approximate Differentiable Rendering with Algebraic SurfacesComputer Vision – ECCV 202210.1007/978-3-031-19824-3_35(596-614)Online publication date: 23-Oct-2022
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Published In

cover image IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications  Volume 27, Issue 3
May 2007
88 pages

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IEEE Computer Society Press

Washington, DC, United States

Publication History

Published: 01 May 2007

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  1. Blinn
  2. cubic equations

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  • (2023)Neural diffeomorphic non-uniform B-spline flowsProceedings of the Thirty-Seventh AAAI Conference on Artificial Intelligence and Thirty-Fifth Conference on Innovative Applications of Artificial Intelligence and Thirteenth Symposium on Educational Advances in Artificial Intelligence10.1609/aaai.v37i10.26441(12225-12233)Online publication date: 7-Feb-2023
  • (2022)High-Performance Polynomial Root Finding for GraphicsProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/35438655:3(1-15)Online publication date: 27-Jul-2022
  • (2022)Approximate Differentiable Rendering with Algebraic SurfacesComputer Vision – ECCV 202210.1007/978-3-031-19824-3_35(596-614)Online publication date: 23-Oct-2022
  • (2020)On Closed-Form Formulas for the 3-D Nearest Rotation Matrix ProblemIEEE Transactions on Robotics10.1109/TRO.2020.297307236:4(1333-1339)Online publication date: 1-Aug-2020
  • (2019)Neural spline flowsProceedings of the 33rd International Conference on Neural Information Processing Systems10.5555/3454287.3454962(7511-7522)Online publication date: 8-Dec-2019
  • (2018)Moment-Based Order-Independent TransparencyProceedings of the ACM on Computer Graphics and Interactive Techniques10.1145/32032061:1(1-20)Online publication date: 25-Jul-2018
  • (2017)Interactive exploration of dissipation element geometryProceedings of the 17th Eurographics Symposium on Parallel Graphics and Visualization10.2312/pgv.20171093(53-62)Online publication date: 12-Jun-2017
  • (2011)Technical SectionComputers and Graphics10.1016/j.cag.2011.04.00235:4(800-809)Online publication date: 1-Aug-2011

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