ARTSccelerated ray-tracing system
IEEE Computer Graphics and Applications
A theoretical and empirical analysis of coherent ray-tracing
Proceedings of Graphics Interface '85 on Computer-generated images: the state of the art
Practical methods of optimization; (2nd ed.)
Practical methods of optimization; (2nd ed.)
Statistically optimized sampling for distributed ray tracing
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
Antialiasing through stochastic sampling
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
On ray tracing parametric surfaces
SIGGRAPH '85 Proceedings of the 12th annual conference on Computer graphics and interactive techniques
A Generalization of Algebraic Surface Drawing
ACM Transactions on Graphics (TOG)
New Techniques for Ray Tracing Procedurally Defined Objects
ACM Transactions on Graphics (TOG)
Improved Computational Methods for Ray Tracing
ACM Transactions on Graphics (TOG)
An improved illumination model for shaded display
Communications of the ACM
Computational Geometry for Design and Manufacture
Computational Geometry for Design and Manufacture
Ray tracing algebraic surfaces
SIGGRAPH '83 Proceedings of the 10th annual conference on Computer graphics and interactive techniques
Ray tracing parametric patches
SIGGRAPH '82 Proceedings of the 9th annual conference on Computer graphics and interactive techniques
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
An adaptive subdivision algorithm and parallel architecture for realistic image synthesis
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Ray tracing of Steiner patches
SIGGRAPH '84 Proceedings of the 11th annual conference on Computer graphics and interactive techniques
Numerical Methods for Unconstrained Optimization and Nonlinear Equations (Classics in Applied Mathematics, 16)
Some techniques for shading machine renderings of solids
AFIPS '68 (Spring) Proceedings of the April 30--May 2, 1968, spring joint computer conference
AFIPS '70 (Spring) Proceedings of the May 5-7, 1970, spring joint computer conference
Ray tracing complex models containing surface tessellations
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Ray tracing trimmed rational surface patches
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
An updated cross-indexed guide to the ray-tracing literature
ACM SIGGRAPH Computer Graphics
A mapping-independent primitive for the triangulation of parametric surfaces
Graphical Models - Special issue on SMI 2002
Light Weight Space Leaping using Ray Coherence
VIS '04 Proceedings of the conference on Visualization '04
Direct trimming of NURBS surfaces on the GPU
ACM SIGGRAPH 2009 papers
A new method for speeding up ray tracing NURBS surfaces
Computers and Graphics
Direct ray tracing of phong tessellation
EGSR'11 Proceedings of the Twenty-second Eurographics conference on Rendering
An architecture for ray - bezier patch intersection
EGGH'93 Proceedings of the Eighth Eurographics conference on Graphics Hardware
A second order geometric method for ray/parametric surface intersection
Computer Aided Geometric Design
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A new algorithm for ray tracing parametric surface patches is presented. The method uses quasi-Newton iteration to solve for the ray/surface intersection and utilizes ray-to-ray coherence by using numerical information from adjoining rays as initial approximations to the quasi-Newton algorithm. Techniques based upon object space subdivision are used to insure convergence to the correct interesection point. Examples are given of the use of the algorithm in scenes containing Bézier surface patches. Results show that a significant number of ray/surface intersections on these parametric surface patches can be found using very few iterations, giving a significant computational savings.