Computer simulation using particles
Computer simulation using particles
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An implicit surface polygonizer
Graphics gems IV
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Inference of Integrated Surface, Curve, and Junction Descriptions From Sparse 3D Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Modelling with implicit surfaces that interpolate
ACM Transactions on Graphics (TOG)
Smooth surface reconstruction from noisy range data
Proceedings of the 1st international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Reconstructing Surfaces by Volumetric Regularization Using Radial Basis Functions
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Multi-scale Approach to 3D Scattered Data Interpolation with Compactly Supported Basis Functions
SMI '03 Proceedings of the Shape Modeling International 2003
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Sparse matrix solvers on the GPU: conjugate gradients and multigrid
ACM SIGGRAPH 2003 Papers
Surface reconstruction based on compactly supported radial basis functions
Geometric modeling
Spectral surface reconstruction from noisy point clouds
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Reconstruction of solid models from oriented point sets
SGP '05 Proceedings of the third Eurographics symposium on Geometry processing
Poisson surface reconstruction
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
The power crust, unions of balls, and the medial axis transform
Computational Geometry: Theory and Applications
Efficient surface reconstruction from noisy data using regularized membrane potentials
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
| Hi-index | 0.00 |
We show that surface reconstruction from point clouds without orientation information can be formulated as a convection problem in a force field based on Coulomb potentials. To efficiently evaluate Coulomb potentials on the volumetric grid on which the evolving surface (current approximation to the final surface) is convected we use the so called 'Particle-Particle Particle-Mesh' (PPPM) algorithm from molecular dynamics, fully implemented on modern, programmable graphics hardware. Our approach offers a number of advantages. Unlike distance-based methods which are sensitive to noise, the proposed method is highly resilient to shot noise since global Coulomb potentials are used to disregard outliers due to noise. Unlike local fitting, the long-range nature of Coulomb potentials implies that all data points are considered at once, so that global information is used in the fitting process. The method compares favorably with respect to previous approaches in terms of speed and flexibility and is highly resilient to noise.