A signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Interactive multi-resolution modeling on arbitrary meshes
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
The approximation power of moving least-squares
Mathematics of Computation
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Spectral processing of point-sampled geometry
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Non-iterative, feature-preserving mesh smoothing
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2003 Papers
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Introduction to Bayesian learning
ACM SIGGRAPH 2004 Course Notes
A Bayesian method for probable surface reconstruction and decimation
ACM Transactions on Graphics (TOG)
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
Mean shift denoising of point-sampled surfaces
The Visual Computer: International Journal of Computer Graphics
Point-based multiscale surface representation
ACM Transactions on Graphics (TOG)
Removing camera shake from a single photograph
ACM SIGGRAPH 2006 Papers
Pattern Recognition and Machine Learning (Information Science and Statistics)
Pattern Recognition and Machine Learning (Information Science and Statistics)
Surface and normal ensembles for surface reconstruction
Computer-Aided Design
Parameterization-free projection for geometry reconstruction
ACM SIGGRAPH 2007 papers
ACM SIGGRAPH 2007 papers
Error bounds and optimal neighborhoods for MLS approximation
SGP '06 Proceedings of the fourth Eurographics symposium on Geometry processing
Data-dependent MLS for faithful surface approximation
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Bayesian surface reconstruction via iterative scan alignment to an optimized prototype
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Nonuniform bilateral filtering for point sets and surface attributes
The Visual Computer: International Journal of Computer Graphics
Uncertainty and variability in point cloud surface data
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Robust filtering of noisy scattered point data
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Technical Section: Robust normal estimation for point clouds with sharp features
Computers and Graphics
A logistic model for the degradation of triangle mesh normals
Proceedings of the 7th international conference on Curves and Surfaces
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Scanning devices acquire geometric information from the surface of an object in the form of a 3D point set. Such point sets, as any data obtained by means of physical measurement, contain some noise. To create an accurate model of the scanned object, this noise should be resolved before or during the process of surface reconstruction. In this paper, we develop a statistical technique to estimate the noise in a scanned point set. The noise is represented as normal distributions with zero mean and their variances determine the amount of the noise. These distributions are estimated with a variational Bayesian method, which is known to provide more robust estimations than point estimate methods, such as maximum likelihood and maximum a posteriori. Validation experiments and further tests with real scan data show that the proposed technique can accurately estimate the noise in a 3D point set.