Manifolds, tensor analysis, and applications: 2nd edition
Manifolds, tensor analysis, and applications: 2nd edition
Minimal Surfaces Based Object Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple View Geometry in Computer Vision
Multiple View Geometry in Computer Vision
Dense Matching of Multiple Wide-baseline Views
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Affine Propagation for Surface Reconstruction in Wide Baseline Stereo
ICPR '04 Proceedings of the Pattern Recognition, 17th International Conference on (ICPR'04) Volume 4 - Volume 04
A Comparison of Affine Region Detectors
International Journal of Computer Vision
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
Global Stereo Reconstruction under Second-Order Smoothness Priors
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multi-view stereo beyond lambert
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Differential geometric consistency extends stereo to curved surfaces
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Variational principles, surface evolution, PDEs, level set methods, and the stereo problem
IEEE Transactions on Image Processing
IEEE Transactions on Image Processing
| Hi-index | 0.00 |
Level Set methods use a non-parametric, implicit representation of surfaces such as the signed distance function. These methods are applied to multiview 3D reconstruction and other machine vision problems that need correspondences between views of a surface. Correspondences can be found by matching surface texture patches of the size sufficient for their identification. Good matching requires precise mapping of a patch across the two image planes. Affine mapping is often used for this purpose assuming that the patches are small and nearly flat. However, this assumption is violated in locations of high surface curvature and/or when the surface is poorly textured and large windows are needed to provide enough information. Using second-order surface approximation, we derive a more precise, quadratic transformation for planar mapping of implicit surfaces. To validate this theoretical result, we apply it to correlation based, variational multiview 3D reconstruction using Level Sets. It is shown that a more detailed reconstruction can be achieved compared to the traditional affine mapping.