A survey of ray-surface intersection algorithms
An introduction to ray tracing
Numerical recipes in C (2nd ed.): the art of scientific computing
Numerical recipes in C (2nd ed.): the art of scientific computing
Computer Aided Geometric Design
TexMol: Interactive Visual Exploration of Large Flexible Multi-Component Molecular Complexes
VIS '04 Proceedings of the conference on Visualization '04
A quadrilateral rendering primitive
Proceedings of the ACM SIGGRAPH/EUROGRAPHICS conference on Graphics hardware
Real-time GPU rendering of piecewise algebraic surfaces
ACM SIGGRAPH 2006 Papers
Hardware-assisted CSG rendering
ACM SIGGRAPH 2006 Research posters
Solid Modeling: A Historical Summary and Contemporary Assessment
IEEE Computer Graphics and Applications
GPU-based ray-casting of quadratic surfaces
SPBG'06 Proceedings of the 3rd Eurographics / IEEE VGTC conference on Point-Based Graphics
Technical strategies for massive model visualization
Proceedings of the 2008 ACM symposium on Solid and physical modeling
Massive model visualization techniques: course notes
ACM SIGGRAPH 2008 classes
Computer Graphics Brazil: Scalable GPU rendering of CSG models
Computers and Graphics
Visualization of Industrial Structures with Implicit GPU Primitives
ISVC '08 Proceedings of the 4th International Symposium on Advances in Visual Computing
Extrusion and revolution mapping
ACM Transactions on Graphics (TOG)
Accelerated visualization of dynamic molecular surfaces
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
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The ray-casting of implicit surfaces on GPU has been explored in the last few years. However, until recently, they were restricted to second degree (quadrics). We present an iterative solution to ray cast cubics and quartics on GPU. Our solution targets efficient implementation, obtaining interactive rendering for thousands of surfaces per frame. We have given special attention to torus rendering since it is a useful shape for multiple CAD models. We have tested four different iterative methods, including a novel one, comparing them with classical tessellation solution.