Improved techniques for ray tracing parametric surfaces
The Visual Computer: International Journal of Computer Graphics
Ray tracing trimmed rational surface patches
SIGGRAPH '90 Proceedings of the 17th annual conference on Computer graphics and interactive techniques
The NURBS book
Proceedings of the 26th 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
Practical ray tracing of trimmed NURBS surfaces
Journal of Graphics Tools
Fast and Memory Efficient View-Dependent Trimmed NURBS Rendering
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Interactive ray tracing of free-form surfaces
AFRIGRAPH '04 Proceedings of the 3rd international conference on Computer graphics, virtual reality, visualisation and interaction in Africa
A new method for speeding up ray tracing NURBS surfaces
Computers and Graphics
Computing roots of polynomials by quadratic clipping
Computer Aided Geometric Design
Direct trimming of NURBS surfaces on the GPU
ACM SIGGRAPH 2009 papers
Fast approach for computing roots of polynomials using cubic clipping
Computer Aided Geometric Design
3D and multispectral imaging for subcutaneous veins detection
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
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Raytracing has become a popular method for generating realistic images and movies. The progress in hardware development shows that the real time raytracing on a single PC might be possible in the ongoing future. Obviously, that new generation of raytracing based applications will require more visualization precision and flexibility. Most of the modern raytracing based applications only deal with triangles as basic primitives, which brings limitations to an application and may cause visual artifacts to appear. NURBS surface representation is common for most of 3D modeling tools because of its compactness and useful geometric properties of NURBS surfaces. Using the direct raytracing NURBS surfaces, one can achieve better quality of rendered images. Although, many such approaches have already been presented, almost all of them suffer from numerical problems or do not work in some special cases. This paper presents a modified Bézier clipping method for finding ray - NURBS surface intersection points, which is fast, robust, and numerically stable.