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Surface Reconstruction for Noisy Point Clouds
(The Eurographics Association, 2005)
We show that a simple modification of the power crust algorithm for surface reconstruction produces correct outputs in presence of noise. This is proved using a fairly realistic noise model. Our theoretical results are ...
Streaming Compression of Triangle Meshes
(The Eurographics Association, 2005)
Current mesh compression schemes encode triangles and vertices in an order derived from systematically traversing the connectivity graph. These schemes struggle with gigabyte-sized mesh input where the construction and the ...
Reconstruction of Solid Models from Oriented Point Sets
(The Eurographics Association, 2005)
In this paper we present a novel approach to the surface reconstruction problem that takes as its input an oriented point set and returns a solid, water-tight model. The idea of our approach is to use Stokes' Theorem to ...
Discrete Willmore Flow
(The Eurographics Association, 2005)
The Willmore energy of a surface, R(H2 -K)dA, as a function of mean and Gaussian curvature, captures the deviation of a surface from (local) sphericity. As such this energy and its associated gradient flow play an important ...
An Image Processing Approach to Surface Matching
(The Eurographics Association, 2005)
Establishing a correspondence between two surfaces is a basic ingredient in many geometry processing applications. Existing approaches, which attempt to match two meshes directly in 3D, can be cumbersome to implement and ...
Template-Based Mesh Completion
(The Eurographics Association, 2005)
Meshes generated by range scanners and other acquisition tools are often incomplete and typically contain multiple connected components with irregular boundaries and complex holes. This paper introduces a robust algorithm ...
Triangulating Point Set Surfaces with Bounded Error
(The Eurographics Association, 2005)
We introduce an algorithm for constructing a high-quality triangulation directly from Point Set Surfaces. Our algorithm requires no intermediate representation and no post-processing of the output, and naturally handles ...
Progressive Buffers: View-dependent Geometry and Texture for LOD Rendering
(The Eurographics Association, 2005)
We introduce a view-dependent level of detail rendering system designed with modern GPU architectures in mind. Our approach keeps the data in static buffers and geomorphs between different LODs using per-vertex weights for ...
Setting the Boundary Free: A Composite Approach to Surface Parameterization
(The Eurographics Association, 2005)
In the last decade, surface mesh parameterization has emerged as a standard technique in computer graphics. The ever increasing need for processing large and highly detailed data sets fosters the development of efficient ...
A Geometric Construction of Coordinates for Convex Polyhedra using Polar Duals
(The Eurographics Association, 2005)
A fundamental problem in geometry processing is that of expressing a point inside a convex polyhedron as a combination of the vertices of the polyhedron. Instances of this problem arise often in mesh parameterization and ...