Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Surface Shape Reconstruction of a Nonrigid Transport Object Using Refraction and Motion
IEEE Transactions on Pattern Analysis and Machine Intelligence
Computing minimal surfaces via level set curvature flow
Journal of Computational Physics
Minimal Surfaces Based Object Segmentation
IEEE Transactions on Pattern Analysis and Machine Intelligence
SIAM Review
Geodesic Active Contours and Level Sets for the Detection and Tracking of Moving Objects
IEEE Transactions on Pattern Analysis and Machine Intelligence
Proceedings of the 27th 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 Visual Hull Concept for Silhouette-Based Image Understanding
IEEE Transactions on Pattern Analysis and Machine Intelligence
Retrieving Shape Information from Multiple Images of a Specular Surface
IEEE Transactions on Pattern Analysis and Machine Intelligence
Three Dimensional Object Modeling via Minimal Surfaces
ECCV '96 Proceedings of the 4th European Conference on Computer Vision-Volume I - Volume I
Fast Surface Reconstruction Using the Level Set Method
VLSM '01 Proceedings of the IEEE Workshop on Variational and Level Set Methods (VLSM'01)
ICCV '95 Proceedings of the Fifth International Conference on Computer Vision
Photo-Consistent 3D Fire by Flame-Sheet Decomposition
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Image-based tomographic reconstruction of flames
SCA '04 Proceedings of the 2004 ACM SIGGRAPH/Eurographics symposium on Computer animation
Reconstructing the Geometry of Flowing Water
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
A Theory of Refractive and Specular 3D Shape by Light-Path Triangulation
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Multi-view stereo beyond lambert
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Variational principles, surface evolution, PDEs, level set methods, and the stereo problem
IEEE Transactions on Image Processing
Volumetric reconstruction, compression and rendering of natural phenomena from multi-video data
VG'05 Proceedings of the Fourth Eurographics / IEEE VGTC conference on Volume Graphics
Articulated mesh animation from multi-view silhouettes
ACM SIGGRAPH 2008 papers
Space-time surface reconstruction using incompressible flow
ACM SIGGRAPH Asia 2008 papers
Optimization on shape curves with application to specular stereo
Proceedings of the 32nd DAGM conference on Pattern recognition
Modeling dynamic scenes recorded with freely moving cameras
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part III
International Journal of Computer Vision
3D reconstruction and video-based rendering of casually captured videos
Proceedings of the 2010 international conference on Video Processing and Computational Video
A Gauss-Newton Method for the Integration of Spatial Normal Fields in Shape Space
Journal of Mathematical Imaging and Vision
| Hi-index | 0.14 |
Many problems in computer vision can be formulated as a minimization problem for an energy functional. If this functional is given as an integral of a scalar-valued weight function over an unknown hypersurface, then the sought-after minimal surface can be determined as a solution of the functional's Euler-Lagrange equation. This paper deals with a general class of weight functions that may depend on surface point coordinates as well as surface orientation. We derive the Euler-Lagrange equation in arbitrary dimensional space without the need for any surface parameterization, generalizing existing proofs. Our work opens up the possibility of solving problems involving minimal hypersurfaces in a dimension higher than three, which were previously impossible to solve in practice. We also introduce two applications of our new framework: We show how to reconstruct temporally coherent geometry from multiple video streams, and we use the same framework for the volumetric reconstruction of refractive and transparent natural phenomena, here bodies of flowing water.