Abstract
Based on homogeneous coordinates, an algorithm for degree reduction of rational Bezier curves with C1-continuity constraints at the boundaries in L∞ norm was presented by extending the degree reduction of polynomial Bezier curves. We firstly reparameterized the rational curves to make the weights more uniform. Then in the space of homogeneous coordinates, we did degree reduction for each component of the polynomial Bezier curves corresponding to rational curves by the constrained Jacobi polynomial. Finally converted the polynomial Bezier curves after degree reduction to the rational Bezier curves. The results of example show that the algorithm is effective and runs simply and rapidly.
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