Direct least-squares fitting of algebraic surfaces
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Smooth surface reconstruction via natural neighbour interpolation of distance functions
Proceedings of the sixteenth annual symposium on Computational geometry
Computing and Rendering Point Set Surfaces
IEEE Transactions on Visualization and Computer Graphics
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Interactive boolean operations on surfel-bounded solids
ACM SIGGRAPH 2003 Papers
Approximating and intersecting surfaces from points
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Approximating Bounded, Non-Orientable Surfaces from Points
SMI '04 Proceedings of the Shape Modeling International 2004
ACM SIGGRAPH 2004 Papers
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
CSG Tree Rendering for Point-Sampled Objects
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Provably good moving least squares
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Anisotropic point set surfaces
AFRIGRAPH '06 Proceedings of the 4th international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
ACM SIGGRAPH 2006 Papers
An adaptive MLS surface for reconstruction with guarantees
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
Uncertainty and variability in point cloud surface data
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Progressive compression of point-sampled models
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
The domain of a point set surface
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
On normals and projection operators for surfaces defined by point sets
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Interactive ray tracing of point-based models
SPBG'05 Proceedings of the Second Eurographics / IEEE VGTC conference on Point-Based Graphics
Multiresolution point-set surfaces
GI '08 Proceedings of graphics interface 2008
A hardware processing unit for point sets
Proceedings of the 23rd ACM SIGGRAPH/EUROGRAPHICS symposium on Graphics hardware
Front tracking with moving-least-squares surfaces
Journal of Computational Physics
Technical Section: Variational Bayesian noise estimation of point sets
Computers and Graphics
Fast low-memory streaming MLS reconstruction of point-sampled surfaces
Proceedings of Graphics Interface 2009
Robust single-view geometry and motion reconstruction
ACM SIGGRAPH Asia 2009 papers
A novel simplification algorithm based on MLS and Splats for point models
Proceedings of the 2009 Computer Graphics International Conference
ACM SIGGRAPH ASIA 2009 Sketches
Adaptive scanning in atomic force microscopy
ICRA'09 Proceedings of the 2009 IEEE international conference on Robotics and Automation
Smoothing of partition of unity implicit surfaces for noise robust surface reconstruction
SGP '09 Proceedings of the Symposium on Geometry Processing
Technical Section: Robust normal estimation for point clouds with sharp features
Computers and Graphics
Estimation of discrete curvature based on chain-code pairing and digital straightness
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
ℓ1-Sparse reconstruction of sharp point set surfaces
ACM Transactions on Graphics (TOG)
Spectral sampling of manifolds
ACM SIGGRAPH Asia 2010 papers
Interactive SPH simulation and rendering on the GPU
Proceedings of the 2010 ACM SIGGRAPH/Eurographics Symposium on Computer Animation
Online loop closure for real-time interactive 3D scanning
Computer Vision and Image Understanding
GlobFit: consistently fitting primitives by discovering global relations
ACM SIGGRAPH 2011 papers
Multi-level partition of unity algebraic point set surfaces
Journal of Computer Science and Technology
SMI 2011: Full Paper: Harmonic point cloud orientation
Computers and Graphics
Fusion of depth maps with multiple scales
Proceedings of the 2011 SIGGRAPH Asia Conference
Manual annotation, 3-D shape reconstruction, and traumatic brain injury analysis
MBIA'11 Proceedings of the First international conference on Multimodal brain image analysis
SMI 2012: Full Local approximation of scalar functions on 3D shapes and volumetric data
Computers and Graphics
Quasi-interpolation for surface reconstruction from scattered data with radial basis function
Computer Aided Geometric Design
Detail-feature-preserving surface reconstruction
Computer Animation and Virtual Worlds
Computer Graphics Forum
Growing Least Squares for the Analysis of Manifolds in Scale-Space
Computer Graphics Forum
Fast and Robust Normal Estimation for Point Clouds with Sharp Features
Computer Graphics Forum
A survey of methods for moving least squares surfaces
SPBG'08 Proceedings of the Fifth Eurographics / IEEE VGTC conference on Point-Based Graphics
A parameterless line segment and elliptical arc detector with enhanced ellipse fitting
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part II
Edge-aware point set resampling
ACM Transactions on Graphics (TOG)
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
Journal of Scientific Computing
Simulating liquids and solid-liquid interactions with lagrangian meshes
ACM Transactions on Graphics (TOG)
A benchmark for surface reconstruction
ACM Transactions on Graphics (TOG)
Multi-level hermite variational interpolation and quasi-interpolation
The Visual Computer: International Journal of Computer Graphics
Generalized Hermitian Radial Basis Functions Implicits from polygonal mesh constraints
The Visual Computer: International Journal of Computer Graphics
SMI 2013: Adequate inner bound for geometric modeling with compact field functions
Computers and Graphics
SMI 2013: Point cloud normal estimation via low-rank subspace clustering
Computers and Graphics
Point-based rendering optimization with textured meshes for fast LiDAR visualization
Computers & Geosciences
An adaptive normal estimation method for scanned point clouds with sharp features
Computer-Aided Design
Iterative cage-based registration from multi-view silhouettes
Proceedings of the 10th European Conference on Visual Media Production
Splat-based surface reconstruction from defect-laden point sets
Graphical Models
| Hi-index | 0.01 |
In this paper we present a new Point Set Surface (PSS) definition based on moving least squares (MLS) fitting of algebraic spheres. Our surface representation can be expressed by either a projection procedure or in implicit form. The central advantages of our approach compared to existing planar MLS include significantly improved stability of the projection under low sampling rates and in the presence of high curvature. The method can approximate or interpolate the input point set and naturally handles planar point clouds. In addition, our approach provides a reliable estimate of the mean curvature of the surface at no additional cost and allows for the robust handling of sharp features and boundaries. It processes a simple point set as input, but can also take significant advantage of surface normals to improve robustness, quality and performance. We also present an novel normal estimation procedure which exploits the properties of the spherical fit for both direction estimation and orientation propagation. Very efficient computational procedures enable us to compute the algebraic sphere fitting with up to 40 million points per second on latest generation GPUs.