Matching free-form surfaces
نویسندگان
چکیده
In this work, the matching problem between two free-form parametric surfaces, S 0 (u, v) and S 1 (u, v), has been considered in the context of a "rst stage of the metamorphosis process, which is de"ned as gradual and continuous transformation of one key shape into another. A method is presented to approximate the two reparametrization functions, r(u, v) and t(u, v), via a discrete sampled set of N2 grid samples on the surfaces. The N2 samples on the source surface are matched against the N2 samples on the target surface, employing a resemblance metric between their Gauss "elds as a criterion. The method preserves the connectivity of the two key surfaces as well. Thus, the resulting reparameterization functions, interpolating the discrete solution must be di!eomorphism. The algorithm works with simple open surfaces, i.e. the surfaces that are homeomorphic to a disk. ( 2001 Elsevier Science Ltd. All rights reserved.
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عنوان ژورنال:
- Computers & Graphics
دوره 25 شماره
صفحات -
تاریخ انتشار 2001