Using Perceptual Organization to Extract 3D Structures
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
Inference of multiple curves and surfaces from sparse data
Inference of multiple curves and surfaces from sparse data
Binary Restoration of Thin Objects in Multidimensional Imagery
IEEE Transactions on Pattern Analysis and Machine Intelligence
Extremal feature extraction from 3-D vector and noisy scalar fields
Proceedings of the conference on Visualization '98
Inference of Integrated Surface, Curve, and Junction Descriptions From Sparse 3D Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
N-Dimensional Tensor Voting and Application to Epipolar Geometry Estimation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Mean Shift: A Robust Approach Toward Feature Space Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence
Inference of Segmented Overlapping Surfaces from Binocular Stereo
IEEE Transactions on Pattern Analysis and Machine Intelligence
Estimating 3D camera motion without correspondences using a search for the best structure
Pattern Recognition Letters
Perceptual Grouping from Motion Cues Using Tensor Voting in 4-D
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part III
Design Considerations for Generic Grouping in Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Layered 4D Representation and Voting for Grouping from Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Inferring Segmented Surface Description from Stereo Data
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Edge-sharpener: recovering sharp features in triangulations of non-adaptively re-meshed surfaces
Proceedings of the 2003 Eurographics/ACM SIGGRAPH symposium on Geometry processing
ACM SIGGRAPH 2004 Papers
IEEE Transactions on Visualization and Computer Graphics
A Voting-Based Computational Framework for Visual Motion Analysis and Interpretation
IEEE Transactions on Pattern Analysis and Machine Intelligence
ACM SIGGRAPH 2005 Papers
Amodal volume completion: 3D visual completion
Computer Vision and Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Fast multiscale clustering and manifold identification
Pattern Recognition
Iterated tensor voting and curvature improvement
Signal Processing
Computer Vision and Image Understanding
Amodal volume completion: 3D visual completion
Computer Vision and Image Understanding
General Geometric Good Continuation: From Taylor to Laplace via Level Sets
International Journal of Computer Vision
Dimensionality Estimation, Manifold Learning and Function Approximation using Tensor Voting
The Journal of Machine Learning Research
Nonlinear Dimensionality Reduction by Topologically Constrained Isometric Embedding
International Journal of Computer Vision
Polygonizing extremal surfaces with manifold guarantees
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling
Inference of multiple subspaces from high-dimensional data and application to multibody grouping
CVPR'04 Proceedings of the 2004 IEEE computer society conference on Computer vision and pattern recognition
A tensor voting for corrupted region inference and text image segmentation
MMM'07 Proceedings of the 13th international conference on Multimedia Modeling - Volume Part I
Perceptual grouping based on iterative multi-scale tensor voting
ISVC'06 Proceedings of the Second international conference on Advances in Visual Computing - Volume Part II
Agglomerative grouping of observations by bounding entropy variation
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Color image segmentation using tensor voting based color clustering
Pattern Recognition Letters
Edge-preserving color image denoising through tensor voting
Computer Vision and Image Understanding
A New 3D Contour Extraction Method for Tooth Cavity in a Dental CAD/CAM System
Journal of Medical Systems
The domain of a point set surface
SPBG'04 Proceedings of the First Eurographics conference on Point-Based Graphics
Mesh saliency via spectral processing
ACM Transactions on Graphics (TOG)
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We address the problem of obtaining dense surface information from a sparse set of 3D data in the presence of spurious noise samples. The input can be in the form of points, or points with an associated tangent or normal, allowing both position and direction to be corrupted by noise. Most approaches treat the problem as an interpolation problem, which is solved by fitting a surface such as a membrane or thin plate to minimize some function. We argue that these physical constraints are not sufficient, and propose to impose additional perceptual constraints such as good continuity and "cosurfacity." These constraints allow us to not only infer surfaces, but also to detect surface orientation discontinuities, as well as junctions, all at the same time. The approach imposes no restriction on genus, number of discontinuities, number of objects, and is noniterative. The result is in the form of three dense saliency maps for surfaces, intersections between surfaces (i.e., 3D curves), and 3D junctions, respectively. These saliency maps are then used to guide a "marching" process to generate a description (e.g., a triangulated mesh) making information about surfaces, space curves, and 3D junctions explicit. The traditional marching process needs to be refined as the polarity of the surface orientation is not necessarily locally consistent. These three maps are currently not integrated, and this is the topic of our ongoing research. We present results on a variety of computer-generated and real data, having varying curvature, of different genus, and multiple objects.