Regularization of inverse visual problems involving discontinuities
IEEE Transactions on Pattern Analysis and Machine Intelligence
Marching cubes: A high resolution 3D surface construction algorithm
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
The Computation of Visible-Surface Representations
IEEE Transactions on Pattern Analysis and Machine Intelligence
Automatic extraction of deformable part models
International Journal of Computer Vision
Dynamic 3D Models with Local and Global Deformations: Deformable Superquadrics
IEEE Transactions on Pattern Analysis and Machine Intelligence
Volumetric shape description of range data using “Blobby Model”
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Generalized implicit functions for computer graphics
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Surface reconstruction from unorganized points
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Three-dimensional alpha shapes
ACM Transactions on Graphics (TOG)
IEEE Computer Graphics and Applications - Special issue on computer-aided geometric design
Zippered polygon meshes from range images
SIGGRAPH '94 Proceedings of the 21st annual conference on Computer graphics and interactive techniques
A General Surface Approach to the Integration of a Set of Range Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
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 signal processing approach to fair surface design
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
Matching 3-D anatomical surfaces with non-rigid deformations using octree-splines
International Journal of Computer Vision
A volumetric method for building complex models from range images
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Regularization, Scale-Space, and Edge Detection Filters
Journal of Mathematical Imaging and Vision
A new Voronoi-based surface reconstruction algorithm
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Inference of Integrated Surface, Curve, and Junction Descriptions From Sparse 3D Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fitting Curves and Surfaces With Constrained Implicit Polynomials
IEEE Transactions on Pattern Analysis and Machine Intelligence
Implicit fairing of irregular meshes using diffusion and curvature flow
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Shape transformation using variational implicit functions
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
The 3L Algorithm for Fitting Implicit Polynomial Curves and Surfaces to Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Photorealistic Scene Reconstruction by Voxel Coloring
International Journal of Computer Vision
Adaptively sampled distance fields: a general representation of shape for computer graphics
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
Reconstruction and representation of 3D objects with radial basis functions
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A Theory of Shape by Space Carving
International Journal of Computer Vision - Special issue on Genomic Signal Processing
The Ball-Pivoting Algorithm for Surface Reconstruction
IEEE Transactions on Visualization and Computer Graphics
Robust Creation of Implicit Surfaces from Polygonal Meshes
IEEE Transactions on Visualization and Computer Graphics
Reliable Surface Reconstructiuon from Multiple Range Images
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Inferring Segmented Surface Description from Stereo Data
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
SMI '01 Proceedings of the International Conference on Shape Modeling & Applications
Priors Stabilizers and Basis Functions: From Regularization to Radial, Tensor and Additive Splines
Priors Stabilizers and Basis Functions: From Regularization to Radial, Tensor and Additive Splines
A survey of methods for volumetric scene reconstruction from photographs
VG'01 Proceedings of the 2001 Eurographics conference on Volume Graphics
Multi-level partition of unity implicits
ACM SIGGRAPH 2003 Papers
Modeling and editing flows using advected radial basis functions
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Image-based spatio-temporal modeling and view interpolation of dynamic events
ACM Transactions on Graphics (TOG)
3D scattered data interpolation and approximation with multilevel compactly supported RBFs
Graphical Models - Special issue on SMI 2003
Appearance-Cloning: Photo-Consistent Scene Recovery from Multi-View Images
International Journal of Computer Vision
Multi-level partition of unity implicits
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Active contours using a constraint-based implicit representation
SIGGRAPH '05 ACM SIGGRAPH 2005 Courses
Surface Properties from N-Views of a Strictly Convex Solid
Fundamenta Informaticae
EURASIP Journal on Applied Signal Processing
Efficient Surface Reconstruction using Generalized Coulomb Potentials
IEEE Transactions on Visualization and Computer Graphics
Surface reconstruction from sparse data by a multiscale volumetric approach
ISCGAV'05 Proceedings of the 5th WSEAS International Conference on Signal Processing, Computational Geometry & Artificial Vision
Stable Algebraic Surfaces for 3D Object Representation
Journal of Mathematical Imaging and Vision
Duplex fitting of zero-level and offset surfaces
Computer-Aided Design
On surface reconstruction: A priority driven approach
Computer-Aided Design
A hierarchical sampling approach for polygonizing variational implicit surfaces
Computers and Graphics
Efficient surface reconstruction from noisy data using regularized membrane potentials
IEEE Transactions on Image Processing
Automated freehand sketch segmentation using radial basis functions
Computer-Aided Design
ACM SIGGRAPH ASIA 2009 Sketches
Technical Section: Orienting unorganized points for surface reconstruction
Computers and Graphics
Fast pseudo-enhancement correction in CT colonography using linear shift-invariant filters
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Adaptive surface reconstruction based on implicit PHT-splines
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Parallel and adaptive surface reconstruction based on implicit PHT-splines
Computer Aided Geometric Design
Hierarchically partitioned implicit surfaces for interpolating large point set models
GMP'06 Proceedings of the 4th international conference on Geometric Modeling and Processing
Surface Properties from N-Views of a Strictly Convex Solid
Fundamenta Informaticae
Efficient surface reconstruction from noisy data using regularized membrane potentials
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Surface reconstruction from noisy point clouds using coulomb potentials
VG'07 Proceedings of the Sixth Eurographics / Ieee VGTC conference on Volume Graphics
International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
3D modeling of multiple-object scenes from sets of images
Pattern Recognition
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We present a new method of surface reconstruction that generates smooth and seamless models from sparse, noisy, nonuniform, and low resolution range data. Data acquisition techniques from computer vision, such as stereo range images and space carving, produce 3D point sets that are imprecise and nonuniform when compared to laser or optical range scanners. Traditional reconstruction algorithms designed for dense and precise data do not produce smooth reconstructions when applied to vision-based data sets. Our method constructs a 3D implicit surface, formulated as a sum of weighted radial basis functions. We achieve three primary advantages over existing algorithms: 1) the implicit functions we construct estimate the surface well in regions where there is little data, 2) the reconstructed surface is insensitive to noise in data acquisition because we can allow the surface to approximate, rather than exactly interpolate, the data, and 3) the reconstructed surface is locally detailed, yet globally smooth, because we use radial basis functions that achieve multiple orders of smoothness.