The zonal method for calculating light intensities in the presence of a participating medium
SIGGRAPH '87 Proceedings of the 14th annual conference on Computer graphics and interactive techniques
Guaranteed ray intersections with implicit surfaces
SIGGRAPH '89 Proceedings of the 16th annual conference on Computer graphics and interactive techniques
Solid representation and operation using extended octrees
ACM Transactions on Graphics (TOG)
An updated cross-indexed guide to the ray-tracing literature
ACM SIGGRAPH Computer Graphics
A New Space Subdivision for Ray Tracing CSG Solids
IEEE Computer Graphics and Applications
A numerical method for rendering spherical reflections
VIS '90 Proceedings of the 1st conference on Visualization '90
Some Applications of Interval Arithmetic in Hierarchical Solid Modeling
Numerical Validation in Current Hardware Architectures
A reliable extended octree representation of CSG objects with an adaptive subdivision depth
PPAM'07 Proceedings of the 7th international conference on Parallel processing and applied mathematics
A massively parallel approach for the design of a raytracing oriented architecture
EGGH'88 Proceedings of the Third Eurographics conference on Advances in Computer Graphics Hardware
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A system of Constructive Solid Geometry (CSG) enables an engineering designer to compose threedimensional shapes by combining simpler ones. Definitions of such objects are represented by tree structures or directed acyclic graphs. Most existing systems convert this representation to a more conventional boundary representation of the solids in order to render pictures from the model. More recently, a number of systems have been described that render the pictures directly from the CSG structure. We describe such a system. We render a scene by ray tracing from a directed acyclic graph. This process is made efficient for large models by using an adaptive method of space division to reduce the number of intersection calculations needed.