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Abstract

1. Geometry of the geodesic curvature vector. 2. Geometry of the constant velocity projection. 3. A simple planar example. The nal geodesic curve is as straight line as expected. (a) Top view (the ^ C curve) of the process. (b) The nal geodesic curve is presented on the 3D surface. 4. Example with an \egg" box surface. The initial curve (^ C 0) is given by… (More)

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