Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
The information available to a moving observer from specularities
Image and Vision Computing - 4th Alvey Vision Meeting
Shape from shading
Computer Vision and Image Understanding
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multiple view geometry in computer visiond
Multiple view geometry in computer visiond
Level set surface editing operators
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Local Analysis for 3D Reconstruction of Specular Surfaces - Part II
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
CVPR '97 Proceedings of the 1997 Conference on Computer Vision and Pattern Recognition (CVPR '97)
Global Minimum for Active Contour Models: A Minimal Path Approach
CVPR '96 Proceedings of the 1996 Conference on Computer Vision and Pattern Recognition (CVPR '96)
Variational principles, surface evolution, PDEs, level set methods, and the stereo problem
IEEE Transactions on Image Processing
Variational Surface Interpolation from Sparse Point and Normal Data
IEEE Transactions on Pattern Analysis and Machine Intelligence
Shape Recovery of Specular Surface Using Color Highlight Stripe and Light Source Coding
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
An Improved Structured Light Inspection of Specular Surfaces Based on Quaternary Coding
MIRAGE '09 Proceedings of the 4th International Conference on Computer Vision/Computer Graphics CollaborationTechniques
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When reconstructing surfaces from image data, reflections on specular surfaces are usually viewed as a nuisance that should be avoided. In this paper a different view is taken. Noting that such reflections contain information about the surface, this information could and should be used when estimating the shape of the surface. Specifically, assuming that the position of the light source and the cameras (i.e. the motion) are known, the reflection from a specular surface in a given image constrain the surface normal with respect to the corresponding camera. Here the constraints on the normals, given by the reflections, are used to formulate a partial differential equation (PDE) for the surface. A smoothness term is added to this PDE and it is solved using a level set framework, thus giving a "shape from specularity" approach. The structure of the PDE also allows other properties to be included, e.g. the constraints from PDE based stereo. The proposed PDE does not fit naturally into a level set framework. To address this issue it is proposed to couple a force field to the level set grid. To demonstrate the viability of the proposed method it has been applied successfully to synthetic data.