Proceedings of the 14th Annual Conference on Computer Graphics and Interactive Techniques 1987
DOI: 10.1145/37401.37409
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Fast ray tracing by ray classification

Abstract: We describe a new approach to ray tracing which drastically reduces the number of ray-object and ray-bounds intersection calculations by means of 5-dimensional space subdivision.Collections of rays originating from a common 3D rectangular volume and directed through a 2D solid angle are represented as hypercubes in 5-space. A 5D volume bounding the space of rays is dynamically subdivided into hypercubes, each linked to a set of objects which are candidates for intersection. Rays are classified into unique hype… Show more

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Cited by 90 publications
(52 citation statements)
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“…This is mainly due to the extreme geometric simplicity of the scene, which plays to our disadvantage because our algorithm scales weakly with scene complexity (Section 4). Our spatial hierarchy does not currently include angular subdivisions [Arvo and Kirk 1987], and we may therefore process redundant splats on glossy surfaces, where the spatial supports are larger (Section 2.2). Another possible improvement is discussed in Section 4.…”
Section: Glossy Reflectionmentioning
confidence: 99%
“…This is mainly due to the extreme geometric simplicity of the scene, which plays to our disadvantage because our algorithm scales weakly with scene complexity (Section 4). Our spatial hierarchy does not currently include angular subdivisions [Arvo and Kirk 1987], and we may therefore process redundant splats on glossy surfaces, where the spatial supports are larger (Section 2.2). Another possible improvement is discussed in Section 4.…”
Section: Glossy Reflectionmentioning
confidence: 99%
“…However, a ray may still be tested against a number of cells and their contained primitives before an intersection is found. Arvo and Kirk [1987] describe a subdivision of 5D ray space, that eliminates this costly traversal of cells. A 5D cell is defined by a parallelepiped of ray origins in 3D (which we will call the origin box) and a range of ray directions.…”
Section: Previous Workmentioning
confidence: 99%
“…With the same objective in mind, we propose an approach based on Arvo and Kirk's [1987] ray classification technique. The original algorithm subdivides the scene using a 5D partition of ray space 1 .…”
Section: Introductionmentioning
confidence: 99%
“…Related works The first attempts to cope with the cost of visibility computations involved space partitioning structures but they provided only local visibility information. Arvo and Kirk [1] subdivide the 5D ray-space for ray-tracing. Teller [13] uses the 5D Plücker duality to compute the antipenumbra cast by an area light source.…”
Section: Introductionmentioning
confidence: 99%