Reflectance based object recognition
International Journal of Computer Vision
A signal-processing framework for inverse rendering
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Lambertian Reflectance and Linear Subspaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Inverse rendering for computer graphics
Inverse rendering for computer graphics
A Class of Photometric Invariants: Separating Material from Shape and Illumination
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Dense Shape Reconstruction of a Moving Object under Arbitrary, Unknown Lighting
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Detecting Doctored Images Using Camera Response Normality and Consistency
CVPR '05 Proceedings of the 2005 IEEE Computer Society Conference on Computer Vision and Pattern Recognition (CVPR'05) - Volume 1 - Volume 01
Example-Based Photometric Stereo: Shape Reconstruction with General, Varying BRDFs
IEEE Transactions on Pattern Analysis and Machine Intelligence
Exposing digital forgeries by detecting inconsistencies in lighting
MM&Sec '05 Proceedings of the 7th workshop on Multimedia and security
Digital Image Processing (3rd Edition)
Digital Image Processing (3rd Edition)
BRDF Invariant Stereo Using Light Transport Constancy
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
Multi-view stereo beyond lambert
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Correspondence-free Structure from Motion
International Journal of Computer Vision
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
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We develop new mathematical results based on the spherical harmonic convolution framework for reflection from a curved surface. We derive novel identities, which are the angular frequency domain analogs to common spatial domain invariants such as reflectance ratios. They apply in a number of canonical cases, including single and multiple images of objects under the same and different lighting conditions. One important case we consider is two different glossy objects in two different lighting environments. Denote the spherical harmonic coefficients by $B_{lm}^{light,{material}}$, where the subscripts refer to the spherical harmonic indices, and the superscripts to the lighting (1 or 2) and object or material (again 1 or 2). We derive a basic identity, $B^{\rm 1,1}_{lm}$$B^{\rm 2,2}_{lm}$ = $B^{\rm 1,2}_{lm}$$B^{\rm 2,1}_{lm}$, independent of the specific lighting configurations or BRDFs. While this paper is primarily theoretical, it has the potential to lay the mathematical foundations for two important practical applications. First, we can develop more general algorithms for inverse rendering problems, which can directly relight and change material properties by transferring the BRDF or lighting from another object or illumination. Second, we can check the consistency of an image, to detect tampering or image splicing.