The DOI matches its Crossref record; 15 of the 15 references it cites were found in a registry or an index.
On the relationship between radiance and irradiance: determining the illumination from images of a convex Lambertian object
Abstract
We present a theoretical analysis of the relationship between incoming radiance and irradiance. Specifically, we address the question of whether it is possible to compute the incident radiance from knowledge of the irradiance at all surface orientations. This is a fundamental question in computer vision and inverse radiative transfer. We show that the irradiance can be viewed as a simple convolution of the incident illumination, i.e., radiance and a clamped cosine transfer function. Estimating the radiance can then be seen as a deconvolution operation. We derive a simple closed-form formula for the irradiance in terms of spherical harmonic coefficients of the incident illumination and demonstrate that the odd-order modes of the lighting with order greater than 1 are completely annihilated. Therefore these components cannot be estimated from the irradiance, contradicting a theorem that is due to Preisendorfer. A practical realization of the radiance-from-irradiance problem is the estimation of the lighting from images of a homogeneous convex curved Lambertian surface of known geometry under distant illumination, since a Lambertian object reflects light equally in all directions proportional to the irradiance. We briefly discuss practical and physical considerations and describe a simple experimental test to verify our theoretical results.
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Cites
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Group Theory and its Applications
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What Is the Set of Images of an Object Under All Possible Illumination Conditions?
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Surface light fields for 3D photography
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Group Theory and Its Applications in Physics
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Lambertian reflectance and linear subspaces
Basri, R., & Jacobs, D. (2002) · Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001 · doi:10.1109/iccv.2001.937651 · Cited by 277
Introduction to radiometry and photometry
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Yu, A., Li, R., Tancik, M., Li, H., Ng, R., & Kanazawa, A. (2021) · 2021 IEEE/CVF International Conference on Computer Vision (ICCV) · doi:10.1109/iccv48922.2021.00570 · Cited by 854
An efficient representation for irradiance environment maps
Ramamoorthi, R., & Hanrahan, P. (2001) · Proceedings of the 28th annual conference on Computer graphics and interactive techniques · doi:10.1145/383259.383317 · Cited by 769
Self-citationA signal-processing framework for inverse rendering
Ramamoorthi, R., & Hanrahan, P. (2001) · Proceedings of the 28th annual conference on Computer graphics and interactive techniques · doi:10.1145/383259.383271 · Cited by 577
Self-citationTotal variation models for variable lighting face recognition
Chen, T., Yin, W., Zhou, X. S., Comaniciu, D., & Huang, T. S. (2006) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2006.195 · Cited by 437
3D Face Reconstruction from a Single Image Using a Single Reference Face Shape
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Metadata
- Authors
- Ramamoorthi, R., & Hanrahan, P.
- Venue
- Journal of the Optical Society of America A
- Publisher
- Optica Publishing Group
- Published
- 2001-10-01
- Volume
- 18
- Issue
- 10
- Pages
- 2448
- ISSN
- 1084-7529 (ISSN-L)
- 1520-8532
- OpenAlex
- W2170464076
- Cited by
- 377
- References
- 15
- FWCI
- 27.30
- Type
- journal article
- Language
- en
- Open access
- closed
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
