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- W2049743059 abstract "The determination of the intersection curve between Bezier Surfaces may be seen as the composition of two separated problems: determining initial points and tracing the intersection curve from these points. The Bezier Surface is represented by a parametric function (polynomial with two variables) that maps a point in the tridimensional space from the bidimensional parametric space. In this article, it is proposed an algorithm to determine the initial points of the intersection curve of Bezier Surfaces, based on the solution of polynomial systems with the Projected Polyhedral Method, followed by a method for tracing the intersection curves (Marching Method with differential equations). In order to allow the use of the Projected Polyhedral Method, the equations of the system must be represented in terms of the Bernstein basis, and towards this goal it is proposed a robust and reliable algorithm to exactly transform a multivariable polynomial in terms of power basis to a polynomial written in terms of Bernstein basis ." @default.
- W2049743059 created "2016-06-24" @default.
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- W2049743059 date "2000-01-01" @default.
- W2049743059 modified "2023-09-26" @default.
- W2049743059 title "Algorithm to determine the intersection curves between bezier surfaces by the solution of multivariable polynomial system and the differential marching method" @default.
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- W2049743059 doi "https://doi.org/10.1590/s0100-73862000000200010" @default.
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