A Method for Enforcing Integrability in Shape from Shading Algorithms
IEEE Transactions on Pattern Analysis and Machine Intelligence
Polarization-Based Material Classification from Specular Reflection
IEEE Transactions on Pattern Analysis and Machine Intelligence
Constraining Object Features Using a Polarization Reflectance Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Generalization of the Lambertian model and implications for machine vision
International Journal of Computer Vision
Separation of Reflection Components Using Color and Polarization
International Journal of Computer Vision
Polarization Phase-Based Method For Material Classification In Computer Vision
International Journal of Computer Vision
International Journal of Computer Vision
Digital Image Processing
SIAM Journal on Optimization
Polarization Images: A Geometric Interpretation for Shape Analysis
ICPR '00 Proceedings of the International Conference on Pattern Recognition - Volume 3
Polarization-based Inverse Rendering from a Single View
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Transparent Surface Modeling from a Pair of Polarization Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Multi-View Surface Reconstruction Using Polarization
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Shape from Shading: Recognizing the Mountains through a Global View
CVPR '06 Proceedings of the 2006 IEEE Computer Society Conference on Computer Vision and Pattern Recognition - Volume 2
Shape Estimation Using Polarization and Shading from Two Views
IEEE Transactions on Pattern Analysis and Machine Intelligence
Polarization vision: a new sensory approach to image understanding
Image and Vision Computing
Surface reconstruction using polarization and photometric stereo
CAIP'07 Proceedings of the 12th international conference on Computer analysis of images and patterns
Recovery of surface height using polarization from two views
CAIP'05 Proceedings of the 11th international conference on Computer Analysis of Images and Patterns
Recovery of surface orientation from diffuse polarization
IEEE Transactions on Image Processing
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In this paper, we address the problem of the simultaneous recovery of the shape and refractive index of an object from a spectro-polarimetric image captured from a single view. Here, we focus on the diffuse polarisation process occuring at dielectric surfaces due to subsurface scattering and transmission from the object surface into the air. The diffuse polarisation of the reflection process is modelled by the Fresnel transmission theory. We present a method for estimating the azimuth angle of surface normals from the spectral variation of the phase of polarisation. Moreover, we estimate the zenith angle of surface normals and index of refraction simultaneously in a well-posed optimisation framework. We achieve well-posedness by introducing two additional constraints to the problem, including the surface integrability and the material dispersion equation. This yields an iterative solution which is computationally efficient due to the use of closed-form solutions for both the zenith angle and the refractive index in each iteration. To demonstrate the effectiveness of our approach, we show results of shape recovery and surface rendering for both real-world and synthetic imagery.