Multivariate interpolation of large sets of scattered data
ACM Transactions on Mathematical Software (TOMS)
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
Piecewise smooth surface reconstruction
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
Automatic reconstruction of surfaces and scalar fields from 3D scans
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
The approximation power of moving least-squares
Mathematics of Computation
Curve reconstruction from unorganized points
Computer Aided Geometric Design
Computer Vision and Image Understanding
Proceedings of the sixth ACM symposium on Solid modeling and applications
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the conference on Visualization '01
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
A two-dimensional interpolation function for irregularly-spaced data
ACM '68 Proceedings of the 1968 23rd ACM national conference
A Physics-Based Framework for Subdivision Surface Design with Automatic Rules Control
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
ACM SIGGRAPH 2004 Papers
Scalar-Function-Driven Editing on Point Set Surfaces
IEEE Computer Graphics and Applications
VIS '04 Proceedings of the conference on Visualization '04
Surface Reconstruction of Noisy and Defective Data Sets
VIS '04 Proceedings of the conference on Visualization '04
Robust moving least-squares fitting with sharp features
ACM SIGGRAPH 2005 Papers
Moving parabolic approximation of point clouds
Computer-Aided Design
Surface processing methods for point sets using finite elements
Computers and Graphics
Defining, contouring, and visualizing scalar functions on point-sampled surfaces
Computer-Aided Design
SMI 2011: Full Paper: Harmonic point cloud orientation
Computers and Graphics
Graph-based representations of point clouds
Graphical Models
Finite elements on point based surfaces
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
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This paper addresses the problem of surface reconstruction of highly noisy point clouds. The surfaces to be reconstructed are assumed to be 2-manifolds of piecewise C 1 continuity, with isolated small irregular regions of high curvature, sophisticated local topology or abrupt burst of noise. At each sample point, a quadric field is locally fitted via a modified moving least squares method. These locally fitted quadric fields are then blended together to produce a pseudo-signed distance field using Shepard's method. We introduce a prioritized front growing scheme in the process of local quadrics fitting. Flatter surface areas tend to grow faster. The already fitted regions will subsequently guide the fitting of those irregular regions in their neighborhood.