公开(公告)号：US20090169050A1

公开(公告)日：2009-07-02

申请号：US11916104

申请日：2006-05-18

申请人： Franz-Erich Wolter ,  Martin Reuter ,  Niklas Peinecke

发明人： Franz-Erich Wolter ,  Martin Reuter ,  Niklas Peinecke

IPC分类号： G06K9/00

CPC分类号： G06T17/00 ,  G06T2201/0201

摘要： A method for characterization of objects has the steps of: a) describing an object with an elliptical self-adjoint eigenvalue problem in order to form an isometrically invariant model; b) determining eigenvalues of the eigenvalue problem; and c) characterizing the object by the eigenvalues.

摘要翻译： 用于表征对象的方法具有以下步骤：a）描述具有椭圆自相关特征值问题的对象，以便形成等角不变模型; b）确定特征值问题的特征值; 和c）通过特征值来表征对象。

公开(公告)号：US06956568B2

公开(公告)日：2005-10-18

申请号：US10042636

申请日：2002-01-09

申请人： Takashi Maekawa ,  Nicholas M. Patrikalakis ,  Franz-Erich Wolter ,  Hiroshi Masuda

发明人： Takashi Maekawa ,  Nicholas M. Patrikalakis ,  Franz-Erich Wolter ,  Hiroshi Masuda

IPC分类号： G06T1/00 ,  G06T17/00

CPC分类号： G06T1/0064 ,  G06T2201/0051

摘要： Umbilics of two surfaces are compared and it is determined from this comparison whether the suspect surface is a copy of the original surface based on the comparison. Comparing umbilics includes determining whether locations of the umbilics of the suspect surface match within a specified margin umbilics of the original surface, and determining whether pattern types of umbilics of the suspect surface match pattern types of corresponding umbilics of the original surface. A “weak” test may be performed, in which corresponding points on the two surfaces are compared, wherein the comparison of umbilics is performed if corresponding points of the two surfaces are located within a specified margin of each other. The points may be gridpoints on wireframes, which in turn may be based on lines of curvature of the surfaces. Comparing umbilics is performed if it is determined that each surface has at least one umbilic. Further still, an “intermediate” test may be performed which includes, for each surface, computing the principal directions of lines of curvature at each grid point. The computed directions of lines of curvature for corresponding gridpoints on the surfaces are compared. A determination is made as to whether the suspect surface is a copy of the original surface, based on the comparison.

摘要翻译： 比较两个表面的脐部，并根据该比较确定可疑表面是否是基于比较的原始表面的副本。 比较脐带包括确定可疑表面的脐带的位置是否在原始表面的指定边缘脐带内匹配，以及确定可疑表面的脐带的图案类型是否匹配原始表面的相应脐带的图案类型。 可以执行“弱”测试，其中比较两个表面上的对应点，其中如果两个表面的对应点位于彼此的指定边距内，则执行脐带的比较。 点可以是线框上的网格点，其又可以基于曲面的曲线。 如果确定每个表面具有至少一个脐带，则进行比较脐带。 此外，可以执行“中间”测试，其包括对于每个表面，计算每个网格点处的曲率线的主方向。 比较表面上相应网格点的计算曲率线方向。 基于比较，确定可疑表面是否是原始表面的副本。