Environment mapping and other applications of world projections
IEEE Computer Graphics and Applications
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
Bidirectional reflection functions from surface bump maps
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
A global illumination solution for general reflectance distributions
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Determining Reflectance Properties of an Object Using Range and Brightness Images
IEEE Transactions on Pattern Analysis and Machine Intelligence
Predicting reflectance functions from complex surfaces
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Measuring and modeling anisotropic reflection
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Shape and motion from image streams under orthography: a factorization method
International Journal of Computer Vision
Radiosity and realistic image synthesis
Radiosity and realistic image synthesis
Object shape and reflectance modeling from observation
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Recovering photometric properties of architectural scenes from photographs
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Fast calculation of soft shadow textures using convolution
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
What Is the Set of Images of an Object Under All Possible Illumination Conditions?
International Journal of Computer Vision
Reflectance and texture of real-world surfaces
ACM Transactions on Graphics (TOG)
Reflection space image based rendering
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Realistic, hardware-accelerated shading and lighting
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Inverse global illumination: recovering reflectance models of real scenes from photographs
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Acquiring the reflectance field of a human face
Proceedings of the 27th annual conference on Computer graphics and interactive techniques
Texture and reflection in computer generated images
Communications of the ACM
A signal-processing framework for inverse rendering
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
An efficient representation for irradiance environment maps
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A practical model for subsurface light transport
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
A practical model for subsurface light transport
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Frequency space environment map rendering
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
A rapid hierarchical rendering technique for translucent materials
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
IEEE Transactions on Pattern Analysis and Machine Intelligence
Lambertian Reflectance and Linear Subspaces
IEEE Transactions on Pattern Analysis and Machine Intelligence
Unified Approach to Prefiltered Environment Maps
Proceedings of the Eurographics Workshop on Rendering Techniques 2000
Reflectance Analysis Under Solar Illumination
Reflectance Analysis Under Solar Illumination
All-frequency shadows using non-linear wavelet lighting approximation
ACM SIGGRAPH 2003 Papers
Clustered principal components for precomputed radiance transfer
ACM SIGGRAPH 2003 Papers
Analytic methods for simulated light transport
Analytic methods for simulated light transport
A signal-processing framework for forward and inverse rendering
A signal-processing framework for forward and inverse rendering
Phenomenological Eigenfunctions for Image Irradiance
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
Appearance Sampling for Obtaining A Set of Basis Images for Variable 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
Triple product wavelet integrals for all-frequency relighting
ACM SIGGRAPH 2004 Papers
Clustering appearances of objects under varying illumination conditions
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
Face recognition under variable lighting using harmonic image exemplars
CVPR'03 Proceedings of the 2003 IEEE computer society conference on Computer vision and pattern recognition
A novel hemispherical basis for accurate and efficient rendering
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
Spherical harmonic gradients for mid-range illumination
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
Practical rendering of multiple scattering effects in participating media
EGSR'04 Proceedings of the Fifteenth Eurographics conference on Rendering Techniques
A frequency analysis of light transport
ACM SIGGRAPH 2005 Papers
Accurate detection of symmetries in 3D shapes
ACM Transactions on Graphics (TOG)
ACM SIGGRAPH 2006 Papers
A first-order analysis of lighting, shading, and shadows
ACM Transactions on Graphics (TOG)
IEEE Transactions on Pattern Analysis and Machine Intelligence
A theory of locally low dimensional light transport
ACM SIGGRAPH 2007 papers
Efficient multiple scattering in hair using spherical harmonics
ACM SIGGRAPH 2008 papers
Pose-encoded spherical harmonics for face recognition and synthesis using a single image
EURASIP Journal on Advances in Signal Processing
Retrieving multiple light sources in the presence of specular reflections and texture
Computer Vision and Image Understanding
ACM Transactions on Graphics (TOG)
Precomputation-Based Rendering
Foundations and Trends® in Computer Graphics and Vision
ECCV'10 Proceedings of the 11th European conference on Computer vision: Part I
Optical signal processing with illumination-encoded filters
Computer Vision and Image Understanding
Temporal light field reconstruction for rendering distribution effects
ACM SIGGRAPH 2011 papers
HDR light probe sequence resampling for realtime incident light field rendering
Proceedings of the 25th Spring Conference on Computer Graphics
Estimating illumination parameters in real space with application to image relighting
ACCV'06 Proceedings of the 7th Asian conference on Computer Vision - Volume Part I
Real-time shading with filtered importance sampling
EGSR'08 Proceedings of the Nineteenth Eurographics conference on Rendering
Optimizing environment maps for material depiction
EGSR'11 Proceedings of the Twenty-second Eurographics conference on Rendering
On the effective dimension of light transport
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
Fourier analysis of stochastic sampling strategies for assessing bias and variance in integration
ACM Transactions on Graphics (TOG) - SIGGRAPH 2013 Conference Proceedings
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We present a signal-processing framework for analyzing the reflected light field from a homogeneous convex curved surface under distant illumination. This analysis is of theoretical interest in both graphics and vision and is also of practical importance in many computer graphics problems---for instance, in determining lighting distributions and bidirectional reflectance distribution functions (BRDFs), in rendering with environment maps, and in image-based rendering. It is well known that under our assumptions, the reflection operator behaves qualitatively like a convolution. In this paper, we formalize these notions, showing that the reflected light field can be thought of in a precise quantitative way as obtained by convolving the lighting and BRDF, i.e. by filtering the incident illumination using the BRDF. Mathematically, we are able to express the frequency-space coefficients of the reflected light field as a product of the spherical harmonic coefficients of the illumination and the BRDF. These results are of practical importance in determining the well-posedness and conditioning of problems in inverse rendering---estimation of BRDF and lighting parameters from real photographs. Furthermore, we are able to derive analytic formulae for the spherical harmonic coefficients of many common BRDF and lighting models. From this formal analysis, we are able to determine precise conditions under which estimation of BRDFs and lighting distributions are well posed and well-conditioned. Our mathematical analysis also has implications for forward rendering---especially the efficient rendering of objects under complex lighting conditions specified by environment maps. The results, especially the analytic formulae derived for Lambertian surfaces, are also relevant in computer vision in the areas of recognition, photometric stereo and structure from motion.