Using Extremal Boundaries for 3-D Object Modeling
IEEE Transactions on Pattern Analysis and Machine Intelligence - Special issue on interpretation of 3-D scenes—part II
Surface shape from the deformation of apparent contours
International Journal of Computer Vision
ECCV '94 Proceedings of the third European conference on Computer vision (vol. 1)
3D Surface Reconstruction Using Occluding Contours
International Journal of Computer Vision
Automatic Model Construction and Pose Estimation From Photographs Using Triangular Splines
IEEE Transactions on Pattern Analysis and Machine Intelligence
Robust Shape Recovery from Occluding Contours Using a Linear Smoother
International Journal of Computer Vision
Visual motion of curves and surfaces
Visual motion of curves and surfaces
International Journal of Computer Vision
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
A Theory of Shape by Space Carving
International Journal of Computer Vision - Special issue on Genomic Signal Processing
The Visual Hull Concept for Silhouette-Based Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
A Cooperative Algorithm for Stereo Matching and Occlusion Detection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Occlusion Detectable Stereo -- Occlusion Patterns in Camera Matrix
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
A Unified Linear Fitting Approach for Singular and Non-Singular 3D Quadrics from Occluding Contours
HLK '03 Proceedings of the First IEEE International Workshop on Higher-Level Knowledge in 3D Modeling and Motion Analysis
Non-photorealistic camera: depth edge detection and stylized rendering using multi-flash imaging
ACM SIGGRAPH 2004 Papers
Three-dimensional free form surface reconstruction from occluding contours in a sequence of images or video
Silhouette and stereo fusion for 3D object modeling
Computer Vision and Image Understanding - Model-based and image-based 3D scene representation for interactive visalization
Motion Segmentation Using Occlusions
IEEE Transactions on Pattern Analysis and Machine Intelligence
Complex 3D Shape Recovery Using a Dual-Space Approach
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
Shape and the Stereo Correspondence Problem
International Journal of Computer Vision
Visual Shapes of Silhouette Sets
3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
Beyond Silhouettes: Surface Reconstruction Using Multi-Flash Photography
3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
Visual Hull Construction in the Presence of Partial Occlusion
3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
3D modeling of multiple-object scenes from sets of images
Pattern Recognition
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In this paper, the duality in differential form is developed between a 3D primal surface and its dual manifold formed by the surface’s tangent planes, i.e., each tangent plane of the primal surface is represented as a four-dimensional vector which constitutes a point on the dual manifold. The iterated dual theorem shows that each tangent plane of the dual manifold corresponds to a point on the original 3D surface, i.e., the “dual” of the “dual” goes back to the “primal”. This theorem can be directly used to reconstruct 3D surface from image edges by estimating the dual manifold from these edges. In this paper we further develop the work in our original conference papers resulting in the robust differential dual operator. We argue that the operator makes good use of the information available in the image data, by using both points of intensity discontinuity and their edge directions; we provide a simple physical interpretation of what the abstract algorithm is actually estimating and why it makes sense in terms of estimation accuracy; our algorithm operates on all edges in the images, including silhouette edges, self occlusion edges, and texture edges, without distinguishing their types (thus resulting in improved accuracy and handling locally concave surface estimation if texture edges are present); the algorithm automatically handles various degeneracies; and the algorithm incorporates new methodologies for implementing the required operations such as appropriately relating edges in pairs of images, evaluating and using the algorithm’s sensitivity to noise to determine the accuracy of an estimated 3D point. Experiments with both synthetic and real images demonstrate that the operator is accurate, robust to degeneracies and noise, and general for reconstructing free-form objects from occluding edges and texture edges detected in calibrated images or video sequences.