Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Shortest watchman routes in simple polygons
Discrete & Computational Geometry
Hierarchical Z-buffer visibility
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
The NURBS book
Ray Shooting Amidst Convex Polyhedra and PolyhedralTerrains in Three Dimensions
SIAM Journal on Computing
Ray shooting amidst convex polygons in 2D
Journal of Algorithms
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
Shape Reconstruction with Delaunay Complex
LATIN '98 Proceedings of the Third Latin American Symposium on Theoretical Informatics
Visibility and its dynamics in a PDE based implicit framework
Journal of Computational Physics
Silhouette and stereo fusion for 3D object modeling
Computer Vision and Image Understanding - Model-based and image-based 3D scene representation for interactive visalization
Level Set Evolution without Re-Initialization: A New Variational Formulation
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Multi-View Stereo via Volumetric Graph-Cuts
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 2 - Volume 02
A Comparison and Evaluation of Multi-View Stereo Reconstruction Algorithms
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 1
Multi-View Multi-Exposure Stereo
3DPVT '06 Proceedings of the Third International Symposium on 3D Data Processing, Visualization, and Transmission (3DPVT'06)
Continuous Global Optimization in Multiview 3D Reconstruction
International Journal of Computer Vision
Multi-view stereo beyond lambert
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Oriented visibility for multiview reconstruction
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
3D surface reconstruction using graph cuts with surface constraints
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part II
Variational principles, surface evolution, PDEs, level set methods, and the stereo problem
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
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In this paper, we investigate the problem of determining regions in 3D scene visible to some giwn viewpoints when obstacles are present in the scene. We assume that the obstacles are composed of some opaque objects with closed surfaces. The problem is formulated in an implicit framework where the obstacles are represented by a level set function. The visible and invisible regions of the given viewpoints are determined through an efficient implicit ray tracing technique. As an extension of our approach, we apply the multiview visibility estimation to an image-based modeling technique. The unknown scene geometry and multiview visibility information are incorporated into a variational energy functional. By minimizing the energy functional, the true scene geometry as well as the accurate visibility information of the multiple views can be recovered from a number of scene images. This makes it feasible to handle the visibility problem of multiple views by our approach when the true scene geometry is unknown.