Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Robust Parameter Estimation in Computer Vision
SIAM Review
Surfels: surface elements as rendering primitives
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
QSplat: a multiresolution point rendering system for large meshes
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Proceedings of the sixth ACM symposium on Solid modeling and applications
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Mean Shift: A Robust Approach Toward Feature Space Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the conference on Visualization '01
Mean Shift, Mode Seeking, and Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Tight cocone: a water-tight surface reconstructor
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
High-Quality Point-Based Rendering on Modern GPUs
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
ACM SIGGRAPH 2004 Papers
3DPVT '04 Proceedings of the 3D Data Processing, Visualization, and Transmission, 2nd International Symposium
Surface Reconstruction of Noisy and Defective Data Sets
VIS '04 Proceedings of the conference on Visualization '04
An integrating approach to meshing scattered point data
Proceedings of the 2005 ACM symposium on Solid and physical modeling
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Anisotropic smoothing of point sets
Computer Aided Geometric Design - Special issue: Geometric modelling and differential geometry
The estimation of the gradient of a density function, with applications in pattern recognition
IEEE Transactions on Information Theory
Uncertainty and variability in point cloud surface data
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Post-processing of scanned 3D surface data
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Sparse surface reconstruction with adaptive partition of unity and radial basis functions
Graphical Models - Special issue on SMI 2004
Feature-preserving non-local denoising of static and time-varying range data
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Error-guided adaptive Fourier-based surface reconstruction
Computer-Aided Design
Ridge based curve and surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
Adaptive feature-preserving non-local denoising of static and time-varying range data
Computer-Aided Design
Implicit Surface Reconstruction from Scattered Point Data with Noise
ICCS '07 Proceedings of the 7th international conference on Computational Science, Part II
Spectral moving removal of non-isolated surface outlier clusters
Computer-Aided Design
Technical Section: Variational Bayesian noise estimation of point sets
Computers and Graphics
Robust mesh reconstruction from unoriented noisy points
2009 SIAM/ACM Joint Conference on Geometric and Physical Modeling
Detail-Preserving local editing for point-sampled geometry
CGI'06 Proceedings of the 24th international conference on Advances in Computer Graphics
Bayesian mesh reconstruction from noisy point data
ICAT'06 Proceedings of the 16th international conference on Advances in Artificial Reality and Tele-Existence
Adaptive fourier-based surface reconstruction
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Real-Time scale invariant 3d range point cloud registration
ICIAR'10 Proceedings of the 7th international conference on Image Analysis and Recognition - Volume Part I
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
Consolidation of low-quality point clouds from outdoor scenes
SGP '13 Proceedings of the Eleventh Eurographics/ACMSIGGRAPH Symposium on Geometry Processing
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In this paper, we develop a method for robust filtering of a noisy set of points sampled from a smooth surface. The main idea of the method consists of using a kernel density estimation technique for point clustering. Specifically, we use a mean-shift based clustering procedure. With every point of the input data we associate a local likelihood measure capturing the probability that a 3D point is located on the sampled surface. The likelihood measure takes into account the normal directions estimated at the scattered points. Our filtering procedure suppresses noise of different amplitudes and allows for an easy detection of outliers which are then automatically removed by simple thresholding. The remaining set of maximum likelihood points delivers an accurate point-based approximation of the surface. We also show that while some established meshing techniques often fail to reconstruct the surface from original noisy point scattered data, they work well in conjunction with our filtering method.