Numerical recipes in C: the art of scientific computing
Numerical recipes in C: the art of scientific computing
Surface Reflection: Physical and Geometrical Perspectives
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
Regular Article: Computing Fourier Transforms and Convolutions on the 2-Sphere
Advances in Applied Mathematics
Visual learning and recognition of 3-D objects from appearance
International Journal of Computer Vision
Spherical wavelets: efficiently representing functions on the sphere
SIGGRAPH '95 Proceedings of the 22nd annual conference on Computer graphics and interactive techniques
On Photometric Issues in 3D Visual Recognition from aSingle 2D Image
International Journal of Computer Vision
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
International Journal of Computer Vision
From Few to Many: Illumination Cone Models for Face Recognition under Variable Lighting and Pose
IEEE Transactions on Pattern Analysis and Machine Intelligence
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
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
Illumination Cones for Recognition under Variable Lighting: Faces
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
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
A Theory of Multiplexed Illumination
ICCV '03 Proceedings of the Ninth IEEE International Conference on Computer Vision - Volume 2
A Fourier Theory for Cast Shadows
IEEE Transactions on Pattern Analysis and Machine Intelligence
Using Extended Light Sources for Modeling Object Appearance under Varying Illumination
ICCV '05 Proceedings of the Tenth IEEE International Conference on Computer Vision (ICCV'05) Volume 1 - Volume 01
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
Experimental analysis of BRDF models
EGSR'05 Proceedings of the Sixteenth Eurographics conference on Rendering Techniques
International Journal of Computer Vision
Toward efficient acquisition of BRDFs with fewer samples
ACCV'12 Proceedings of the 11th Asian conference on Computer Vision - Volume Part IV
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The appearance of an object greatly changes under different lighting conditions. Even so, previous studies have demonstrated that the appearance of an object under varying illumination conditions can be represented by a linear subspace. A set of basis images spanning such a linear subspace can be obtained by applying the principal component analysis (PCA) for a large number of images taken under different lighting conditions. Since little is known about how to sample the appearance of an object in order to correctly obtain its basis images, it was a common practice to use as many input images as possible. In this study, we present a novel method for analytically obtaining a set of basis images of an object for varying illumination from input images of the object taken properly under a set of light sources, such as point light sources or extended light sources. Our proposed method incorporates the sampling theorem of spherical harmonics for determining a set of lighting directions to efficiently sample the appearance of an object. We further consider the issue of aliasing caused by insufficient sampling of the object's appearance. In particular, we investigate the effectiveness of using extended light sources for modeling the appearance of an object under varying illumination without suffering the aliasing caused by insufficient sampling of its appearance.