Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Multiple view geometry in computer vision
Multiple view geometry in computer vision
Distance Field Manipulation of Surface Models
IEEE Computer Graphics and Applications
IEEE Transactions on Pattern Analysis and Machine Intelligence
Complete Dense Stereovision Using Level Set Methods
ECCV '98 Proceedings of the 5th European Conference on Computer Vision-Volume I - Volume I
Variational principles, surface evolution, PDEs, level set methods, and the stereo problem
IEEE Transactions on Image Processing
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The method of Faugeras and Keriven for solving the multiple view stereo problem by partial differential equations (PDE's) in a level set implementation has been well received. The main reasons are that it produces good results and deals effectively with objects which are, topologically, more complex than a ball. This makes it a good choice for the final step in the usual structure from motion approach, namely making a full 3D surface reconstruction from estimates of camera orientations and 3D point structure. Here an approach is proposed whereby the 3D point structure, estimated using structure from motion, is used to initialize the method of Faugeras and Keriven. The proposed approach has the advantage of a) considerably improving the run time of the approach, and b) making it more resistant towards noisy data and data with patches of low variability. Both advantages make the approach much more effective on real data.