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Computational Complexity of Ray Tracing | by You Jeen Ha - Medi…
https://medium.com/smith-hcv/computational-complexity-of-ray-tracing-1db936e6aba4#:~:text=Figures%206%20and%207%20from%20Reif%20et%20al.,can%20represent%20a%20complex%20parabolic%20or%20hyperbolic%20surface.
Computability and complexity of ray tracing | SpringerLink
https://link.springer.com/article/10.1007/BF02574009
For many years ray tracing has been used for designing and analyzing optical systems. Ray tracing is now used extensively in computer graphics to render scenes with complex curved objects under global illumination. We show that ray-tracing problems in some three-dimensional simple optical systems (purely geometrical optics) are undecidable.
Computational Complexity of Ray Tracing | by You Jeen …
https://medium.com/smith-hcv/computational-complexity-of-ray-tracing-1db936e6aba4
Figures 6 and 7 from Reif et al. (1994)’s paper “Computability and Complexity of Ray Tracing.” Points with rational coordinates (U, V) in 2D space are transformed into “complex boxes” in 3D space....
Computability and complexity of ray tracing | Discrete
https://dl.acm.org/doi/10.1007/BF02574009
The ray-tracing problem is, given an optical system and the position and direction of an initial light ray, to decide if the light ray reaches some given final position. For many years ray tracing ...
The computability and complexity of optical beam tracing
https://people.eecs.berkeley.edu/~tygar/papers/Computability_and_complexity_ray_tracing/FOCS.pdf
The computability and complexity of optical beam tracing - Foundations of Computer Science, 1990. Proceedings., 31st Annual Symposium on Author: IEEE Created Date:
[PDF] Ray tracing - computing the incomputable?
https://www.semanticscholar.org/paper/Ray-tracing-computing-the-incomputable-Blakey/8ce6905edbde1ee39f3662236249d1305a3f03e6
The ray-tracing problem is taken as a case study and the framework of complexity theory is applied so as to formalize the intuition that the purported super-Turing power of these computers in fact vanishes once precision is properly considered. We recall from previous work a model-independent framework of computational complexity theory.
Home | Duke Computer Science
https://users.cs.duke.edu/~reif/paper/tygar/raytracing.pdf
Created Date: 10/7/2004 4:28:35 AM
Data structures and the time complexity of ray tracing
https://link.springer.com/article/10.1007/BF01952827
Abstract. The time complexity of ray tracing is a function of the data structures used for space division. Octree and hierarchical extents have been suggested as effective choices. In this paper, complexity parameters are suggested to characterize images and show that both octrees and hierarchies are appropriate choices if given most favorable images.
Ray tracing -- computing the incomputable? - ResearchGate
https://www.researchgate.net/publication/261288971_Ray_tracing_--_computing_the_incomputable
Computability and Complexity of Ray Tracing. Article. Dec 1994; ... Ray tracing is now used extensively in computer graphics to render scenes with …
In Discrete and Computational Geometry, 11:3, April 1994, pp …
https://people.eecs.berkeley.edu/~tygar/papers/Computability_and_complexity_ray_tracing/Discrete_Comp_Geom.pdf
Title: Discrete_Comp_Geom.pdf Author: Doug Tygar Created Date: 5/3/2005 8:24:16 PM
Computability and Complexity of Unconventional …
https://www.semanticscholar.org/paper/Computability-and-Complexity-of-Unconventional-Broersma-Stepney/0825716019df7c0f806791e652fd5cf53b651d8f
It is discovered that all claims that certain UCOMP devices can perform hypercomputation, super-Turing computation or solve NP-complete problems in polynomial time rely on the provision of one or more unphysical resources. We discuss some claims that certain UCOMP devices can perform hypercomputation (compute Turing-uncomputable functions) or perform super-Turing …
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