Predicting reflectance functions from complex surfaces
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Generalization of Lambert's reflectance model
SIGGRAPH '94 Proceedings of the 21st 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
Reflectance and texture of real-world surfaces
ACM Transactions on Graphics (TOG)
A signal-processing framework for inverse rendering
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 28th annual conference on Computer graphics and interactive techniques
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Bidirectional Reflection Distribution Function of Thoroughly Pitted Surfaces
International Journal of Computer Vision
IEEE Transactions on Pattern Analysis and Machine Intelligence
Analyzing the Bidirectional Texture Function
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Histogram Model for 3D Textures
CVPR '98 Proceedings of the 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
A first-order analysis of lighting, shading, and shadows
ACM Transactions on Graphics (TOG)
A theory of locally low dimensional light transport
ACM SIGGRAPH 2007 papers
Appearance Sampling of Real Objects for Variable Illumination
International Journal of Computer Vision
Shield fields: modeling and capturing 3D occluders
ACM SIGGRAPH Asia 2008 papers
Hierarchical shadow detection for color aerial images
Computer Vision and Image Understanding
Frequency analysis and sheared filtering for shadow light fields of complex occluders
ACM Transactions on Graphics (TOG)
Practical filtering for efficient ray-traced directional occlusion
Proceedings of the 2011 SIGGRAPH Asia Conference
Advanced textural representation of materials appearance
SIGGRAPH Asia 2011 Courses
A theory of monte carlo visibility sampling
ACM Transactions on Graphics (TOG)
On the effective dimension of light transport
EGSR'10 Proceedings of the 21st Eurographics conference on Rendering
5D Covariance tracing for efficient defocus and motion blur
ACM Transactions on Graphics (TOG)
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Cast shadows can be significant in many computer vision applications, such as lighting-insensitive recognition and surface reconstruction. Nevertheless, most algorithms neglect them, primarily because they involve nonlocal interactions in nonconvex regions, making formal analysis difficult. However, many real instances map closely to canonical configurations like a wall, a V-groove type structure, or a pitted surface. In particular, we experiment with 3D textures like moss, gravel, and a kitchen sponge, whose surfaces include canonical configurations like V-grooves. This paper takes a first step toward a formal analysis of cast shadows, showing theoretically that many configurations can be mathematically analyzed using convolutions and Fourier basis functions. Our analysis exposes the mathematical convolution structure of cast shadows and shows strong connections to recent signal-processing frameworks for reflection and illumination.