Principles and applications of pencil tracing
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Exploiting temporal coherence in ray tracing
Proceedings on Graphics interface '90
A survey of ray tracing acceleration techniques
An introduction to ray tracing
Illumination from curved reflectors
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
Object space temporal coherence for ray tracing
Proceedings of the conference on Graphics interface '92
Hierarchical view-dependent structures for interactive scene manipulation
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Proceedings of the 24th annual conference on Computer graphics and interactive techniques
Interactive reflections on curved objects
Proceedings of the 25th annual conference on Computer graphics and interactive techniques
Seminal graphics
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Perturbation Methods for Interactive Specular Reflections
IEEE Transactions on Visualization and Computer Graphics
Generating Exact Ray-Traced Animation Frames by Reprojection
IEEE Computer Graphics and Applications
Local Analysis for 3D Reconstruction of Specular Surfaces - Part II
ECCV '02 Proceedings of the 7th European Conference on Computer Vision-Part II
Local Shape from Mirror Reflections
International Journal of Computer Vision
A frequency analysis of light transport
ACM SIGGRAPH 2005 Papers
A first-order analysis of lighting, shading, and shadows
ACM Transactions on Graphics (TOG)
Shape from Specular Reflection and Optical Flow
International Journal of Computer Vision
ACM Transactions on Graphics (TOG)
Single scattering in refractive media with triangle mesh boundaries
ACM SIGGRAPH 2009 papers
Line space gathering for single scattering in large scenes
ACM SIGGRAPH 2010 papers
ACM Transactions on Graphics (TOG) - SIGGRAPH 2012 Conference Proceedings
5D Covariance tracing for efficient defocus and motion blur
ACM Transactions on Graphics (TOG)
A practical algorithm for rendering interreflections with all-frequency BRDFs
ACM Transactions on Graphics (TOG)
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In this paper we apply perturbation methods to the problem of computing specular reflections in curved surfaces. The key idea is to generate families of closely related optical paths by expanding a given path into a high-dimensional Taylor series. Our path perturbation method is based on closed-form expressions for linear and higher-order approximations of ray paths, which are derived using Fermat's Variation Principle and the Implicit Function Theorem (IFT). The perturbation formula presented here holds for general multiple-bounce reflection paths and provides a mathematical foundation for exploiting path coherence in ray tracing acceleration techniques and incremental rendering. To illustrate its use, we describe an algorithm for fast approximation of specular reflections on curved surfaces; the resulting images are highly accurate and nearly indistinguishable from ray traced images.