Surface existence equations and surface synthesis
نویسنده
چکیده
This paper shows how the Gauss-Mainardi-Codazzi equations can be reinterpreted in terms of variations of curvature with respect to arc-length along lines of curvature. Secondly, it reviews the frame-and-position matching method for surface synthesis. Thirdly, it brings these two ideas together to show that frame and position matching for an infinitesimal patch are exactly equivalent to the Gauss-Mainardi-Codazzi surface existence equations. Finally, conclusions are made concerning this result.
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