A robust algorithm for geometric predicate by error-free determinant transformation
Copyright policy )A robust algorithm for geometric predicate by error-free determinant transformation
An accurate and robust algorithm for a two-dimensional (2D) orientation problem is proposed. The algorithm is based on the recently developed algorithm on accurate floating-point summation [\textit{S. M. Rump, T. Ogita} and \textit{S. Oishi}, SIAM J. Sci. Comput. 31, No. 1, 189--224 (2008; Zbl 1185.65082)], by which an error-free determinant transformation is possible. Numerical experiments are done to compare the performance of the proposed algorithm with other preceding algorithms in terms of runtime versus condition number.
algorithm, error-free determinant transformation, verified numerical computation, Computational geometry, Theoretical Computer Science, Computer Science Applications, Computational Theory and Mathematics, Verified numerical computation, Numerical aspects of computer graphics, image analysis, and computational geometry, computational geometry, Algorithms with automatic result verification, numerical experiments, Error-free determinant transformation, Information Systems
algorithm, error-free determinant transformation, verified numerical computation, Computational geometry, Theoretical Computer Science, Computer Science Applications, Computational Theory and Mathematics, Verified numerical computation, Numerical aspects of computer graphics, image analysis, and computational geometry, computational geometry, Algorithms with automatic result verification, numerical experiments, Error-free determinant transformation, Information Systems
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