MOTIVATING  GEOMETRY THROUGH
COMPUTATION  AND  VISUALIZATION

funded by NSF-CCLI grant DUE-0126687

Principal Investigator
David L. Finn
Associate Professor of Mathematics
Rose-Hulman Institute of Technology
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Rational C2 Bezier Spline Applet
DIRECTIONS:   In this applet, you create a rational C2 Bezier spline by placing control points pi = (xi,yi) on the screen, which are stored as points in space as (1,xi,yi). The weights λi are initially set as 1, and are modified by using the A and Z keys. The A key decreases the weight and the Z key increases the weight. The algorithm for creating the composite rational Bezier curve proceeds by constructing a C1 Bezier spline in space with control points (λi,xi,yi) and then perspectively projecting this curve onto the plane (1,ξ,η).