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Multilevel Streaming for Out-of-Core Surface Reconstruction
(The Eurographics Association, 2007)
Reconstruction of surfaces from huge collections of scanned points often requires out-of-core techniques, and most such techniques involve local computations that are not resilient to data errors. We show that a Poisson-based ...
Rotation Invariant Spherical Harmonic Representation of 3D Shape Descriptors
(The Eurographics Association, 2003)
One of the challenges in 3D shape matching arises from the fact that in many applications, models should be considered to be the same if they differ by a rotation. Consequently, when comparing two models, a similarity ...
Symmetry Descriptors and 3D Shape Matching
(The Eurographics Association, 2004)
In this paper, we present the Symmetry Descriptors of a 3D model. This is a collection of spherical functions that describes the measure of a model's rotational and reflective symmetry with respect to every axis passing ...
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 ...
Unconstrained Isosurface Extraction on Arbitrary Octrees
(The Eurographics Association, 2007)
This paper presents a novel algorithm for generating a watertight level-set from an octree. We show that the level- set can be efficiently extracted regardless of the topology of the octree or the values assigned to the ...
Estimating the Laplace-Beltrami Operator by Restricting 3D Functions
(The Eurographics Association and Blackwell Publishing Ltd, 2009)
We present a novel approach for computing and solving the Poisson equation over the surface of a mesh. As in previous approaches, we define the Laplace-Beltrami operator by considering the derivatives of functions defined ...
Can Mean-Curvature Flow be Modified to be Non-singular?
(The Eurographics Association and Blackwell Publishing Ltd., 2012)
This work considers the question of whether mean-curvature flow can be modified to avoid the formation of singularities. We analyze the finite-elements discretization and demonstrate why the original flow can result in ...
Poisson Surface Reconstruction
(The Eurographics Association, 2006)
We show that surface reconstruction from oriented points can be cast as a spatial Poisson problem. This Poisson formulation considers all the points at once, without resorting to heuristic spatial partitioning or blending, ...