Level set surface editing operators
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Haptics-based volumetric modeling using dynamic spline-based implicit functions
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Efficient estimation of 3D Euclidean distance fields from 2D range images
VVS '02 Proceedings of the 2002 IEEE symposium on Volume visualization and graphics
Direct surface extraction from 3D freehand ultrasound images
Proceedings of the conference on Visualization '02
Level set segmentation from multiple non-uniform volume datasets
Proceedings of the conference on Visualization '02
Journal of Computational Physics
Surface reconstruction of freeform objects based on multiresolution volumetric method
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
Interactive shape design using volumetric implicit PDEs
SM '03 Proceedings of the eighth ACM symposium on Solid modeling and applications
A geometric convection approach of 3-D reconstruction
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
A concept for parametric surface fitting which avoids the parametrization problem
Computer Aided Geometric Design
Haptics-Based Dynamic Implicit Solid Modeling
IEEE Transactions on Visualization and Computer Graphics
Interpolating and approximating implicit surfaces from polygon soup
ACM SIGGRAPH 2004 Papers
VIS '04 Proceedings of the conference on Visualization '04
Rough Interface Reconstruction Using the Level Set Method
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
Controllable smoke animation with guiding objects
ACM Transactions on Graphics (TOG)
Local level set method in high dimension and codimension
Journal of Computational Physics
Adaptively Merging Large-Scale Range Data with Reflectance Properties
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Quasi-Dense Approach to Surface Reconstruction from Uncalibrated Images
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Spectral surface reconstruction from noisy point clouds
Proceedings of the 2004 Eurographics/ACM SIGGRAPH symposium on Geometry processing
Provably good moving least squares
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Extraction of Topologically Simple Isosurfaces from Volume Datasets
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Fast Constrained Surface Extraction by Minimal Paths
International Journal of Computer Vision
Designing with distance fields
ACM SIGGRAPH 2006 Courses
A shape design system using volumetric implicit PDEs
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Interpolating and approximating implicit surfaces from polygon soup
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Provably good moving least squares
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
An extended level set method for shape and topology optimization
Journal of Computational Physics
A flexible framework for surface reconstruction from large point sets
Computers and Graphics
Mesh connectivity compression using convection reconstruction
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Weak witnesses for Delaunay triangulations of submanifolds
Proceedings of the 2007 ACM symposium on Solid and physical modeling
Weighted Minimal Hypersurface Reconstruction
IEEE Transactions on Pattern Analysis and Machine Intelligence
Isosurface stuffing: fast tetrahedral meshes with good dihedral angles
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A streaming algorithm for surface reconstruction
SGP '07 Proceedings of the fifth Eurographics symposium on Geometry processing
EURASIP Journal on Applied Signal Processing
Out-of-core and compressed level set methods
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Efficient Surface Reconstruction using Generalized Coulomb Potentials
IEEE Transactions on Visualization and Computer Graphics
Dual evolution of planar parametric spline curves and T-spline level sets
Computer-Aided Design
Provably good moving least squares
ACM Transactions on Algorithms (TALG)
On geometric variational models for inpainting surface holes
Computer Vision and Image Understanding
Many Objective Optimisation: Direct Objective Boundary Identification
Proceedings of the 10th international conference on Parallel Problem Solving from Nature: PPSN X
Fast PDE approach to surface reconstruction from large cloud of points
Computer Vision and Image Understanding
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3D Edge Detection by Selection of Level Surface Patches
Journal of Mathematical Imaging and Vision
SSVM '09 Proceedings of the Second International Conference on Scale Space and Variational Methods in Computer Vision
On surface reconstruction: A priority driven approach
Computer-Aided Design
Surface reconstruction from point clouds by transforming the medial scaffold
Computer Vision and Image Understanding
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IEEE Transactions on Image Processing
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Hole filling in 3D volumetric objects
Pattern Recognition
Adaptive surface reconstruction based on implicit PHT-splines
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CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
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Computational Geometry: Theory and Applications
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Parallel and adaptive surface reconstruction based on implicit PHT-splines
Computer Aided Geometric Design
Pattern Recognition Letters
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VLSM'05 Proceedings of the Third international conference on Variational, Geometric, and Level Set Methods in Computer Vision
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Efficient surface reconstruction from noisy data using regularized membrane potentials
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Uncertainty and variability in point cloud surface data
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VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
Surface reconstruction from noisy point clouds using coulomb potentials
VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
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Computer Vision and Image Understanding
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Manifold surface reconstruction of an environment from sparse Structure-from-Motion data
Computer Vision and Image Understanding
A triangulation-based hole patching method using differential evolution
Computer-Aided Design
Splat-based surface reconstruction from defect-laden point sets
Graphical Models
Surface embedding narrow volume reconstruction from unorganized points
Computer Vision and Image Understanding
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In this paper we describe new formulations and develop fast algorithms for implicit surface reconstruction based on variational and partial differential equation (PDE) methods. In particular we use the level set method and fast sweeping and tagging methods to reconstruct surfaces from scattered data set. The data set might consist of points, curves and/or surface patches. A weighted minimal surface-like model is constructed and its variational level set formulation is implemented with optimal efficiency. The reconstructed surface is smoother than piecewise linear and has a natural scaling in the regularization that allows varying flexibility according to the local sampling density. As is usual with the level set method we can handle complicated topology and deformations, as well as noisy or highly non-uniform data sets easily. The method is based on a simple rectangular grid, although adaptive and triangular grids are also possible. Some consequences, such as hole filling capability, are demonstrated, as well as the viability and convergence of our new fast tagging algorithm.