Curvature-driven modeling and rendering of point-based surfaces (original) (raw)

Direct Computing of Surface Curvatures for Point-Set Surfaces

2007

Accurate computing of the curvatures of a surface from its discrete form is of fundamental importance for many graphics and engineering applications. The moving least-squares (MLS) surface from Levin (Lev2003) and its variants have been successfully used to define point-set surfaces in a variety of point cloud data based modeling and rendering applications. This paper presents a set of analytical

Hardware-accelerated extraction and rendering of point set surfaces

2006

Abstract Point-based models are gaining lately considerable attention as an alternative to traditional surface meshes. In this context, Point Set Surfaces (PSS) were proposed as a modeling and rendering method with important topological and approximation properties. However, ray-tracing PSS is computationally expensive. Therefore, we propose an interactive ray-tracing algorithm for PSS implemented completely on commodity graphics hardware.

Fast Normal Approximation of Point Clouds in Screen Space

2013

The display of large point clouds of planar distributions yet comes with large restrictions regarding the normal and surface reconstruction. The point data needs to be clustered or traversed to extract a local neighborhood, which is necessary to retrieve surface information. We propose the usage of the rendering pipeline to circumvent a pre-computation of the neighborhood and to perform a fast approximation of the surface. We present and compare three different methods for surface reconstruction within a post-process. These methods range from simple approximations to the definition of a tensor surface. All these methods are designed to run at interactive frame-rates. We also present a correction method to increase reconstruction quality, while preserving interactive frame-rates. Our results indicate, that the on-the-fly computation of surface normals is not a limiting factor on modern GPUs. Additionally, as the surface information is generated during the post-process, only the targe...