An implicit surface polygonizer
Graphics gems IV
The approximation power of moving least-squares
Mathematics of Computation
Smooth surface reconstruction via natural neighbour interpolation of distance functions
Proceedings of the sixteenth annual symposium on Computational geometry
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Pointshop 3D: an interactive system for point-based surface editing
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the conference on Visualization '01
Ray Tracing Point Set Surfaces
SMI '03 Proceedings of the Shape Modeling International 2003
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Provable surface reconstruction from noisy samples
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
ACM SIGGRAPH 2004 Papers
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
Provably good moving least squares
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
A condition for isotopic approximation
SM '04 Proceedings of the ninth ACM symposium on Solid modeling and applications
The power crust, unions of balls, and the medial axis transform
Computational Geometry: Theory and Applications
ACM SIGGRAPH 2006 Papers
Provable surface reconstruction from noisy samples
Computational Geometry: Theory and Applications
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
ACM SIGGRAPH 2007 papers
Provably good moving least squares
ACM Transactions on Algorithms (TALG)
Adaptive feature-preserving non-local denoising of static and time-varying range data
Computer-Aided Design
Direct boolean intersection between acquired and designed geometry
Computer-Aided Design
Interpolatory point set surfaces—convexity and Hermite data
ACM Transactions on Graphics (TOG)
Fast low-memory streaming MLS reconstruction of point-sampled surfaces
Proceedings of Graphics Interface 2009
Consolidation of unorganized point clouds for surface reconstruction
ACM SIGGRAPH Asia 2009 papers
Topology- and error-driven extension of scalar functions from surfaces to volumes
ACM Transactions on Graphics (TOG)
Provable surface reconstruction from noisy samples
Computational Geometry: Theory and Applications
Out-of-core MLS reconstruction
CGIM '07 Proceedings of the Ninth IASTED International Conference on Computer Graphics and Imaging
Technical Section: Mesh reconstruction by meshless denoising and parameterization
Computers and Graphics
Technical Section: Visibility of noisy point cloud data
Computers and Graphics
ℓ1-Sparse reconstruction of sharp point set surfaces
ACM Transactions on Graphics (TOG)
Defining, contouring, and visualizing scalar functions on point-sampled surfaces
Computer-Aided Design
A new mesh-growing algorithm for fast surface reconstruction
Computer-Aided Design
SMI 2011: Full Paper: Harmonic point cloud orientation
Computers and Graphics
Removal of surface artifacts of material volume data with defects
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part II
Normal and feature approximations from noisy point clouds
FSTTCS'06 Proceedings of the 26th international conference on Foundations of Software Technology and Theoretical Computer Science
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
Hardware-accelerated extraction and rendering of point set surfaces
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Approximating geodesics on point set surfaces
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
A survey of methods for moving least squares surfaces
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
Accurate reconstruction of engineered models with surfaces of revolution
Proceedings of the Eighth Indian Conference on Computer Vision, Graphics and Image Processing
Splat-based surface reconstruction from defect-laden point sets
Graphical Models
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Recent work have shown that moving least squares (MLS) surfaces can be used effectively to reconstruct surfaces from possibly noisy point cloud data. Several variants of MLS surfaces have been suggested, some of which have been analyzed theoretically for guarantees. These analyses, so far, have assumed uniform sampling density. We propose a new variant of the MLS surface that, for the first time, incorporates local feature sizes in its formulation, and we analyze it for reconstruction guarantees using a non-uniform sampling density. The proposed variant of the MLS surface has several computational advantages over existing MLS methods.