Engineering >> Computer Science & Engineering

Applicaions of Bezier Curves in Computer Graphics

by Timothy Hilsabeck


Submitted : Spring 2014

This report will describe a mathematical approach to solving simple, low-order Bézier Curves using de Casteljau’s Algorithm, in which they’re then applied to developing images in computer graphic programs. The algorithm used is a series of line interpolations to approximate the curves using a weighted value, and a set of pre-defined control points. After using the algorithm for as many weight points as desired, this will ultimately allow for a representation of Bézier Curves as a series of interpolations both mathematically and visually, which can then be used to create and replicate graphical images.



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Advisors :
Kanakadurga Nallamshetty, Mathematics and Statistics
Jonathan Burns, Mathematics and Statistics
David Hilsabeck, Pegasus Imaging
Suggested By :
David Hilsabeck