GMRES/CR and Arnoldi/Lanczos as matrix approximation problems
SIAM Journal on Scientific Computing
When Shadows Become Interreflections
International Journal of Computer Vision - Special issue on computer vision research at NEC Research Institute
Acquiring the reflectance field of a human face
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Low-Rank Matrix Approximation Using the Lanczos Bidiagonalization Process with Applications
SIAM Journal on Scientific Computing
Acquisition and rendering of transparent and refractive objects
EGRW '02 Proceedings of the 13th Eurographics workshop on Rendering
Lambertian Reflectance and Linear Subspaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Iterative Methods for Sparse Linear Systems
Iterative Methods for Sparse Linear Systems
All-frequency shadows using non-linear wavelet lighting approximation
ACM SIGGRAPH 2003 Papers
EGRW '03 Proceedings of the 14th Eurographics workshop on Rendering
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
SIAM Journal on Scientific Computing
ACM SIGGRAPH 2005 Papers
A Theory of Inverse Light Transport
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision - Volume 2
Projection defocus analysis for scene capture and image display
ACM SIGGRAPH 2006 Papers
Adaptive sampling of reflectance fields
ACM Transactions on Graphics (TOG)
Multiplexing for Optimal Lighting
IEEE Transactions on Pattern Analysis and Machine Intelligence
A theory of locally low dimensional light transport
ACM SIGGRAPH 2007 papers
Radiometric Compensation through Inverse Light Transport
PG '07 Proceedings of the 15th Pacific Conference on Computer Graphics and Applications
Real world dynamic appearance enhancement with procam feedback
PROCAMS '08 Proceedings of the 5th ACM/IEEE International Workshop on Projector camera systems
Compressive light transport sensing
ACM Transactions on Graphics (TOG)
Kernel Nyström method for light transport
ACM SIGGRAPH 2009 papers
A dual theory of inverse and forward light transport
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part II
Inferring reflectance functions from wavelet noise
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
Symmetric photography: exploiting data-sparseness in reflectance fields
EGSR'06 Proceedings of the 17th Eurographics conference on Rendering Techniques
From the Rendering Equation to Stratified Light Transport Inversion
International Journal of Computer Vision
Primal-dual coding to probe light transport
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
A Combined Theory of Defocused Illumination and Global Light Transport
International Journal of Computer Vision
Perceptual global illumination cancellation in complex projection environments
EGSR'11 Proceedings of the Twenty-second Eurographics conference on Rendering
ECCV'12 Proceedings of the 12th European conference on Computer Vision - Volume Part VI
Perceptual radiometric compensation for inter-reflection in immersive projection environment
Proceedings of the 19th ACM Symposium on Virtual Reality Software and Technology
Inverse volume rendering with material dictionaries
ACM Transactions on Graphics (TOG)
Hi-index | 0.00 |
We present a general framework for analyzing the transport matrix of a real-world scene at full resolution, without capturing many photos. The key idea is to use projectors and cameras to directly acquire eigenvectors and the Krylov subspace of the unknown transport matrix. To do this, we implement Krylov subspace methods partially in optics, by treating the scene as a "black box subroutine" that enables optical computation of arbitrary matrix-vector products. We describe two methods---optical Arnoldi to acquire a low-rank approximation of the transport matrix for relighting; and optical GMRES to invert light transport. Our experiments suggest that good quality relighting and transport inversion are possible from a few dozen low-dynamic range photos, even for scenes with complex shadows, caustics, and other challenging lighting effects.