Statistical point geometry

TitleStatistical point geometry
Publication TypeConference Papers
Year of Publication2003
AuthorsKalaiah A, Varshney A
Conference NameProceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Date Published2003///
PublisherEurographics Association
Conference LocationAire-la-Ville, Switzerland, Switzerland
ISBN Number1-58113-687-0

We propose a scheme for modeling point sample geometry with statistical analysis. In our scheme we depart from the current schemes that deterministically represent the attributes of each point sample. We show how the statistical analysis of a densely sampled point model can be used to improve the geometry bandwidth bottleneck and to do randomized rendering without sacrificing visual realism. We first carry out a hierarchical principal component analysis (PCA) of the model. This stage partitions the model into compact local geometries by exploiting local coherence. Our scheme handles vertex coordinates, normals, and color. The input model is reconstructed and rendered using a probability distribution derived from the PCA analysis. We demonstrate the benefits of this approach in all stages of the graphics pipeline: (1) orders of magnitude improvement in the storage and transmission complexity of point geometry, (2) direct rendering from compressed data, and (3) view-dependent randomized rendering.