THE METHOD OF FINDING POINTS OF INTERSECTION OF TWO CUBIC BEZIER CURVES USING THE SYLVESTER MATRIX
Journal Title: Silesian Journal of Pure and Applied Mathematics - Year 2016, Vol 6, Issue 1
Abstract
Sylvester matrix is used to create a 9th degree polynomial from coefficients of two cubic Bezier curves. The real roots of this polynomial allow to compute points of intersection of aforementioned curves. An additional constraint is used to indicate valid points. The “reverseinverse law” is presented in order to reduce the cost of calculation in this particular case. Also some limitations of the method as well as the ways to avoid them, if possible, are pointed out.
Authors and Affiliations
Barbara Biły
Keywords
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THE METHOD OF FINDING POINTS OF INTERSECTION OF TWO CUBIC BEZIER CURVES USING THE SYLVESTER MATRIX
Sylvester matrix is used to create a 9th degree polynomial from coefficients of two cubic Bezier curves. The real roots of this polynomial allow to compute points of intersection of aforementioned curves. An additional c...