WO2008022173A3 - Simultaneous simulation of markov chains using quasi-monte carlo techniques - Google Patents

Simultaneous simulation of markov chains using quasi-monte carlo techniques Download PDF

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Publication number
WO2008022173A3
WO2008022173A3 PCT/US2007/075966 US2007075966W WO2008022173A3 WO 2008022173 A3 WO2008022173 A3 WO 2008022173A3 US 2007075966 W US2007075966 W US 2007075966W WO 2008022173 A3 WO2008022173 A3 WO 2008022173A3
Authority
WO
WIPO (PCT)
Prior art keywords
markov chains
quasi
monte carlo
simulating
sorting
Prior art date
Application number
PCT/US2007/075966
Other languages
French (fr)
Other versions
WO2008022173A2 (en
Inventor
Alexander Keller
Carsten Waechter
Original Assignee
Mental Images Inc
Alexander Keller
Carsten Waechter
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Mental Images Inc, Alexander Keller, Carsten Waechter filed Critical Mental Images Inc
Priority to EP07814103A priority Critical patent/EP2052366A2/en
Priority to JP2009524776A priority patent/JP4947394B2/en
Priority to CA002660190A priority patent/CA2660190A1/en
Publication of WO2008022173A2 publication Critical patent/WO2008022173A2/en
Publication of WO2008022173A3 publication Critical patent/WO2008022173A3/en

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Classifications

    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06T—IMAGE DATA PROCESSING OR GENERATION, IN GENERAL
    • G06T15/00—3D [Three Dimensional] image rendering
    • G06T15/06—Ray-tracing

Abstract

Methods, systems, apparatus and computer software/computer code products operable to enable computer graphics systems to more efficiently simulate Markov chains (and thus trajectories of photons and the like) comprise simulating, and/or means for simulating, Markov chains using a quasi-Monte Carlo methodology, wherein the simulating of Markov chains comprises sorting states, and wherein the sorting comprises proximity sorting.
PCT/US2007/075966 2006-08-15 2007-08-15 Simultaneous simulation of markov chains using quasi-monte carlo techniques WO2008022173A2 (en)

Priority Applications (3)

Application Number Priority Date Filing Date Title
EP07814103A EP2052366A2 (en) 2006-08-15 2007-08-15 Simultaneous simulation of markov chains using quasi-monte carlo techniques
JP2009524776A JP4947394B2 (en) 2006-08-15 2007-08-15 Simultaneous simulation of Markov chains using the quasi-Monte Carlo method
CA002660190A CA2660190A1 (en) 2006-08-15 2007-08-15 Simultaneous simulation of markov chains using quasi-monte carlo techniques

Applications Claiming Priority (2)

Application Number Priority Date Filing Date Title
US82241706P 2006-08-15 2006-08-15
US60/822,417 2006-08-15

Publications (2)

Publication Number Publication Date
WO2008022173A2 WO2008022173A2 (en) 2008-02-21
WO2008022173A3 true WO2008022173A3 (en) 2008-12-04

Family

ID=39083085

Family Applications (1)

Application Number Title Priority Date Filing Date
PCT/US2007/075966 WO2008022173A2 (en) 2006-08-15 2007-08-15 Simultaneous simulation of markov chains using quasi-monte carlo techniques

Country Status (4)

Country Link
EP (1) EP2052366A2 (en)
JP (1) JP4947394B2 (en)
CA (1) CA2660190A1 (en)
WO (1) WO2008022173A2 (en)

Families Citing this family (5)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US8131770B2 (en) * 2009-01-30 2012-03-06 Nvidia Corporation System, method, and computer program product for importance sampling of partitioned domains
JP5633961B2 (en) * 2010-05-19 2014-12-03 インターナショナル・ビジネス・マシーンズ・コーポレーションＩｎｔｅｒｎａｔｉｏｎａｌ Ｂｕｓｉｎｅｓｓ Ｍａｃｈｉｎｅｓ Ｃｏｒｐｏｒａｔｉｏｎ Simulation system, method and program
US20130033507A1 (en) * 2011-08-04 2013-02-07 Nvidia Corporation System, method, and computer program product for constructing an acceleration structure
US11334762B1 (en) 2017-09-07 2022-05-17 Aurora Operations, Inc. Method for image analysis
US10235601B1 (en) 2017-09-07 2019-03-19 7D Labs, Inc. Method for image analysis

Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20030052874A1 (en) * 2001-06-07 2003-03-20 Georgy Abramov System and method for rendering images using a Russian Roulette methodology for evaluating global illumination
US20040051783A1 (en) * 2002-08-23 2004-03-18 Ramalingam Chellappa Method of three-dimensional object reconstruction from a video sequence using a generic model
US20040125103A1 (en) * 2000-02-25 2004-07-01 Kaufman Arie E. Apparatus and method for volume processing and rendering

Patent Citations (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20040125103A1 (en) * 2000-02-25 2004-07-01 Kaufman Arie E. Apparatus and method for volume processing and rendering
US20030052874A1 (en) * 2001-06-07 2003-03-20 Georgy Abramov System and method for rendering images using a Russian Roulette methodology for evaluating global illumination
US20040051783A1 (en) * 2002-08-23 2004-03-18 Ramalingam Chellappa Method of three-dimensional object reconstruction from a video sequence using a generic model

Also Published As

Publication number Publication date
EP2052366A2 (en) 2009-04-29
JP4947394B2 (en) 2012-06-06
WO2008022173A2 (en) 2008-02-21
JP2010501100A (en) 2010-01-14
CA2660190A1 (en) 2008-02-21

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