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SMI

2008

IEEE

2008

IEEE

The distribution of geometric features is anisotropic by its nature. Intrinsic properties of surfaces such as normal curvatures, for example, varies with direction. In this paper this characteristic of a shape is used to create a new anisotropic geodesic (AG) distance map on parametric surfaces. We ﬁrst deﬁne local distance (LD) from a point as a function of both the surface point and a unit direction in its tangent plane and then deﬁne a total distance as an integral of that local distance. The AG distance between points on the surface is then deﬁned as their minimum total distance. The path between the points that attains the minimum is called the anisotropic geodesic path. This differs from the usual geodesic in ways that enable it to better reveal geometric features. Minimizing total distances to attain AG distance is performed by associating the LD function with the tensor speed function that controls wave propagation of the convex Hamilton-Jacobi (H-J) equation solver. W...

Related Content

Added |
01 Jun 2010 |

Updated |
01 Jun 2010 |

Type |
Conference |

Year |
2008 |

Where |
SMI |

Authors |
Joon-Kyung Seong, Won-Ki Jeong, Elaine Cohen |

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