C. Lin and M. J. Perry. Shape description using surface triangulation. In Proceedings of the IEEE Workshop on Computer Vision: Representation and Control, pages 38-- 43, 1982.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....piecewise flat surface, the local curvature of such a surface is seemingly paradoxical [30] The curvature is singular at each point on the surface infinite at vertices and edges and zero on triangle faces. We can however refer to the total curvature for regions on these surfaces. Lin and Perry [23] use the angle excess around each vertex to estimate the total Gaussian curvature. Angle excess itself is well known with [30] providing a nice discussion in the context of computer graphics and the Gauss Bonnett theorem. We find another application of angle excess in a series of papers [5, 6] by ....

C. Lin and M. J. Perry, Shape description using surface triangulation, in Proceedings of the IEEE Workshop on Computer Vision: Representation and Control 1982, pp. 38--43.

....of curves around a point and use this ensemble of curves to estimate curvature. Other curve fitting methods include [1, 6] By contrast, surface fitting methods [3, 8] locally fit an analytic surface around a point and compute curvature from the derivatives of this function. Other approaches [5, 11] use the topology and geometry of the mesh directly to estimate total curvature for a region of the mesh. We propose a novel curve fitting method with the following traits: ffl detects piecewise smooth creases, ffl smoothes measurement error, and ffl estimates principal curvatures and principal ....

C. Lin and M. J. Perry. Shape description using surface triangulation. In Proceedings of the IEEE Workshop on Computer Vision: Representation and Control, pages 38-- 43, 1982.

....to parts, and eliminate parts having less than a pre specified number of vertices. The major steps of this algorithm are described respectively in the following subsections. 2.1. Curvature Estimation and Labeling As stated in Section 1, a mesh based curvature estimation method proposed in [10] is implemented in this work to estimate Gaussian curvature for each vertex contained in surface triangle meshes. Since only the sign of the curvature is used in later segmentation, we believe that this simple curvature estimation approach is sufficient for our application. As shown in Fig. 3, ....

C. Lin and M. Perry, "Shape description using surface triangulation," in Proc. Computer Vision: Representation and Control, 1982, pp. 38--43.

....from a polyhedral approximation. Some existing techniques only apply to surfaces extracted from range images [1, 5, 7] Other techniques that only apply to iso surfaces [12] make use of the implicit function defined on a regular three dimensional grid around the surface [14] Lin and Perry [11] show how to estimate the Gaussian curvature at the vertices of a triangulated surface. Chen and Schmitt [3] describe an algorithm to estimate principal curvatures at the vertices of a triangulated surface. Both this algorithm and ours are based on constructing a quadratic form at each vertex of ....

C. Lin and M.J. Perry. Shape description using surface triangulation. In Proceedings, IEEE Workshop on Computer Vision: Representation and Control, pages 38--43, 1982.

....only first partial derivatives, but also second order ones, that leads to a large amount of auxiliary storage and to an increasing difficulty to control the surface. It is clear, that a continuum description of the surface is not adequate in a computerised scheme. However, we can point out only [LP82], in which the authors applied discrete techniques in order to extract shape characteristics. They used the discrete analogue of Gaussian curvature, taking as a base the so called Regge calculus [Reg61] They applied their analysis directly to any given triangulation of the object, however, ....

.... way around, the reduction of the number of points without much damaging the actual shape of the object [FHMB84] the control of the automatic processing of surfaces [DM83] or the estimates of some geometric properties, such as area, volume, axes of inertia, or extraction of elementary shapes [LP82, FS91]. The concept of a topological triangulation embraces a large class of objects. In surface reconstruction this class is restricted because one deals, in general, with orientable connected manifolds. In the definition of triangulation, used in surface reconstruction, one usually refers to ....

C. Lin and M.J. Perry. Shape description using surface triangulation. In Workshop on Computer Vision: Representation and Control, pages 38--43, 1982.

No context found.

C. Lin and M. J. Perry. Shape description using surface triangulation. In Proceedings of the IEEE Workshop on Computer Vision: Representation and Control, pages 38-- 43, 1982.

No context found.

C. Lin and M. Perry , "Shape Description Using Surface Triangulation", Conf. Comp uter Vis ion: Representation and Control, pp.38-43 , 1982.

No context found.

C. Lin and M. Perry , "Shape Description Using Surface Triangulation", Conf. Comp uter Vis ion: Representation and Control, pp.38-43 , 1982.

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