Displaying similar documents to “On the arc length of parametric cubic curves.”

Miror Curves

Slavik Jablan (2001)

Visual Mathematics

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Closed-form expressions for the approximation of arclength parameterization for Bézier curves

Mohsen Madi (2004)

International Journal of Applied Mathematics and Computer Science

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In applications such as CNC machining, highway and railway design, manufacturing industry and animation, there is a need to systematically generate sets of reference points with prescribed arclengths along parametric curves, with sufficient accuracy and real-time performance. Thus, mechanisms to produce a parameter set that yields the coordinates of the reference points along the curve Q(t) = {x(t), y(t)} are sought. Arclength parameterizable expressions usually yield a parameter set...