Symposium on Point Based Graphics 05
Permanent URI for this collection
Browse
Browsing Symposium on Point Based Graphics 05 by Subject "Categories and Subject Descriptors (according to ACM CCS): I.3.5 [Computer Graphics]: Curve, surface, solid, and object representations"
Now showing 1 - 2 of 2
Results Per Page
Sort Options
Item Computing Variation Modes for Point Set Surfaces(The Eurographics Association, 2005) Miao, Lanfang; Huang, Jin; Liu, Xinguo; Bao, Hujun; Peng, Qunsheng; Guo, Baining; Marc Alexa and Szymon Rusinkiewicz and Mark Pauly and Matthias ZwickerPoint sets have become a popular shape representation. In this paper, we present a novel approach to computing variation modes for point set surfaces, and represent the point set surface as a linear combination of the variation modes, called a generative representation for the point set surface. Given a point set, our approach consists of two steps: The first is to produce a set of new samples with increasing smoothness and less detailed features. We use a modified smoothing method based on moving least squares (MLS) surface to produce the samples. The second is to arrange the shape vectors of the new samples together with the original point set into a matrix, and then compute the singular value decomposition of the matrix, producing a set of variation modes (the eigen vectors). Using the variation modes and the generative representation, we can easily synthesize new shapes. Typical applications are low/high/band pass filtering as well as denoising and detail enhancement in multiple scales.Item Conformal Alpha Shapes(The Eurographics Association, 2005) Cazals, Frederic; Giesen, Joachim; Pauly, Mark; Zomorodian, Afra; Marc Alexa and Szymon Rusinkiewicz and Mark Pauly and Matthias ZwickerWe define a new filtration of the Delaunay triangulation of a finite set of points in Rd, similar to the alpha shape filtration. The new filtration is parameterized by a local scale parameter instead of the global scale parameter in alpha shapes. Since our approach shares many properties with the alpha shape filtration and the local scale parameter conforms to the local geometry we call it conformal alpha shape filtration. The local scale parameter is motivated from applications and previous algorithms in surface reconstruction. We show how conformal alpha shapes can be used for surface reconstruction of non-uniformly sampled surfaces, which is not possible with alpha shapes.