A non-uniform subdivision scheme with variable parameters for curve design
نویسندگان
چکیده
In this paper, we present a non-uniform subdivision scheme of arbitrary degree with a variable parameter sequence. By this scheme, blending curves which are composing of different types of generalized B-spline curves including many analytic curves can be successfully reproduced. Generalized subdivision and the classical B-spline subdivision are all special cases of the proposed variable parameter subdivision. We prove the smoothness of the proposed scheme. Also, as an application, we propose a chamfering algorithm which can be used in designing automobile and mechanical products.
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