Projection of curves on B-spline surfaces using quadratic reparameterization
نویسندگان
چکیده
Curves on surfaces play an important role in computer aided geometric design. In this paper, we present a hyperbola approximation method based on the quadratic reparameterization of Bézier surfaces, which generates reasonable low degree curves lying completely on the surfaces by using iso-parameter curves of the reparameterized surfaces. The Hausdorff distance between the projected curve and the original curve is controlled under the user-specified distance tolerance. The projected curve is eT–G continuous, where eT is the user-specified angle tolerance. Examples are given to show the performance of our algorithm. 2010 Elsevier Inc. All rights reserved.
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ورودعنوان ژورنال:
- Graphical Models
دوره 72 شماره
صفحات -
تاریخ انتشار 2010