Experiments with a fast string searching algorithm
Information Processing Letters
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
SIGGRAPH '86 Proceedings of the 13th annual conference on Computer graphics and interactive techniques
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
An improved illumination model for shaded display
Communications of the ACM
A 3-dimensional representation for fast rendering of complex scenes
SIGGRAPH '80 Proceedings of the 7th annual conference on Computer graphics and interactive techniques
Beam tracing polygonal objects
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Efficient ray tracing of volume data
ACM Transactions on Graphics (TOG)
Efficient antialiased rendering of 3-D linear fractals
Proceedings of the 18th annual conference on Computer graphics and interactive techniques
Illumination from curved reflectors
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An updated cross-indexed guide to the ray-tracing literature
ACM SIGGRAPH Computer Graphics
Spatial anti-aliasing for animation sequences with spatio-temporal filtering
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Proceedings of the 26th annual conference on Computer graphics and interactive techniques
Theory and application of specular path perturbation
ACM Transactions on Graphics (TOG)
IEEE Computer Graphics and Applications
IEEE Computer Graphics and Applications
A frequency analysis of light transport
ACM SIGGRAPH 2005 Papers
Soft shadow volumes for ray tracing
ACM SIGGRAPH 2005 Papers
Multi-level ray tracing algorithm
ACM SIGGRAPH 2005 Papers
Interactive rendering of caustics using interpolated warped volumes
GI '05 Proceedings of Graphics Interface 2005
ACM Transactions on Graphics (TOG)
Proceedings of the Conference on High Performance Graphics 2009
ACM SIGGRAPH 2009 Courses
Path differentials and applications
EGWR'01 Proceedings of the 12th Eurographics conference on Rendering
Pencil tracing mirage: principle and its evaluation
ACM SIGGRAPH 2013 Posters
Pencil tracing mirage: principle and its evaluation
ACM SIGGRAPH 2013 Talks
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Pencil tracing, a new approach to ray tracing, is introduced for faster image synthesis with more physical fidelity. The paraxial approximation theory for efficiently tracing a pencil of rays is described and analysis of its errors is conducted to insure the accuracy required for pencil tracing. The paraxial approimation is formulated from a 4x4 matrix (a system matrix) that provides the basis for pencil tracing and a variety of ray tracing techniques, such as beam tracing, ray tracing with cones, ray-object intersection tolerance, and a lighting model for reflection and refraction. In the error analysis, functions that estimate approximation errors and determine a constraint on the spread angle of a pencil are given.The theory results in the following fast ray tracing algorithms; ray tracing using a system matrix, ray interpolation, and extended 'beam tracing' using a 'generalized perspective transform'. Some experiments are described to show their advantages. A lighting model is also developed to calculate the illuminance for refracted and reflected light.