Shape Estimation Using Polarization and Shading from Two Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Spectral Modes of Facial Needle-Maps
IbPRIA '07 Proceedings of the 3rd Iberian conference on Pattern Recognition and Image Analysis, Part I
Statistical methods for surface integration
Proceedings of the 12th IMA international conference on Mathematics of surfaces XII
Photometric stereo from maximum feasible Lambertian reflections
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part IV
Interactive editing of massive imagery made simple: Turning Atlanta into Atlantis
ACM Transactions on Graphics (TOG)
A color to grayscale conversion considering local and global contrast
ACCV'10 Proceedings of the 10th Asian conference on Computer vision - Volume Part IV
Diffusion of geometric affinity for surface integration
SSPR'06/SPR'06 Proceedings of the 2006 joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
What is the range of surface reconstructions from a gradient field?
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part I
Resolution-enhanced photometric stereo
ECCV'06 Proceedings of the 9th European conference on Computer Vision - Volume Part III
Multi-scale integration of slope data on an irregular mesh
PSIVT'11 Proceedings of the 5th Pacific Rim conference on Advances in Image and Video Technology - Volume Part I
A robust multi-scale integration method to obtain the depth from gradient maps
Computer Vision and Image Understanding
A novel framework for metric-based image registration
WBIR'12 Proceedings of the 5th international conference on Biomedical Image Registration
Static and dynamic 3D facial expression recognition: A comprehensive survey
Image and Vision Computing
Parallel gradient domain processing of massive images
EG PGV'11 Proceedings of the 11th Eurographics conference on Parallel Graphics and Visualization
| Hi-index | 0.00 |
Several important problems in computer vision such as Shape from Shading (SFS) and Photometric Stereo (PS) require reconstructing a surface from an estimated gradient field, which is usually non-integrable, i.e. have non-zero curl. We propose a purely algebraic approach to enforce integrability in discrete domain. We first show that enforcing integrability can be formulated as solving a single linear system Ax = b over the image. In general, this system is under-determined. We show conditions under which the system can be solved and a method to get to those conditions based on graph theory. The proposed approach is non-iterative, has the important property of local errorconfinement and can be applied to several problems. Results on SFS and PS demonstrate the applicability of our method.