M. P. do Carmo. Differential geometry of curves and surfaces. Prentice-Hall Inc., Englewood Cliffs, N.J., 1976. Translated from the Portuguese. 166 Home/Search Document Not in Database Summary Related Articles Check |
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Motion of Curves Constrained on Surfaces Using a Level .. - Cheng, Burchard.. (2000) (4 citations) (Correct)
....i.e. in terms of and . We will see examples of this later on when dealing with various geometrically based motions. Examples can also be seen in [3] for the case of unconstrained curves moving in R 3 . For more on the geometry of curves and surfaces and partial di erential equations, see [9] and [24] 4 General Numerics The main advantage of our approach lies in the e ective numerical schemes that can be used to solve the partial di erential equations associated to the 7 motions. In general, we lay down a uniform grid in R 3 . In reality, not all the points in this grid need to ....
M. do Carmo. Di erential geometry of curves and surfaces. Translated from the Portuguese. Prentice-Hall, Inc., Englewood Cli s, N.J., 1976.
The Level Set Method Applied to Geometrically Based Motion.. - Cheng (2000) (3 citations) (Correct)
....the Minkowski Problem under the corresponding F . We considered only the case n = 2 so the hypersurfaces could be plotted but the method works for any n. 109 1. We choose F from the Gauss Kronecker curvature for an ellipse with principal radii of 3, 2, and 1. The expression can be derived from [12]. The result is plotted in Figure 5.1 on a 50 by 50 by 50 grid. 2. We choose F to approximate symmetric cones. The parts of the cones with zero Gauss Kronecker curvature are changed to have a small positive GaussKronecker curvature. Similarly, the parts of the cones with ini nite GaussKronecker ....
M. do Carmo. Di erential geometry of curves and surfaces. Translated from the Portuguese. Prentice-Hall, Inc., Englewood Cli s, N.J., 1976.
An Efficient and High-Order Accurate Boundary Integral Solver for.. - Ying (Correct)
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M. P. do Carmo. Differential geometry of curves and surfaces. Prentice-Hall Inc., Englewood Cliffs, N.J., 1976. Translated from the Portuguese. 166
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