Raytracing

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uniform random numbersFirst idea is to use uniformlydistributed random number (rand())• This does not work as well becausethey tend to have clumps.CSE 472 Spring 201331Clumping110.90.90.80.80.70.70.60.610 1000.50.50.40.40.30.30.20.20.10.100 0.2 0.4 0.6 0.8 100 0.2 0.4 0.6 0.8 110.90.80.710000.60.50.40.30.2CSE 472 Spring 20130.100 0.2 0.4 0.6 0.8 132
The Poisson DistributionSimple idea• We generate a set of random numbers, notwo of which are closer than someminimum distance to each other• How would you do this• Think of generating one random number ata time• How do you do this in 2D?CSE 472 Spring 201333Poisson GeneratorFor each set of random numbers needed:history.clearFor each random number needed:dovalid = true // Till we know otherwisepoint p = (rand(min,max), rand(min, max))foreach item in historyif(Distance(item, p) < minimumDvalid = falsewhile !validhistory.add(p)return pCSE 472 Spring 201334
Page 4 and 5: How do we get shadows?What is diffe
Page 6 and 7: Problems w/ numerical precisionCSE
Page 8 and 9: Intersect Functionbool Intersect(co
Page 10 and 11: Aliasing, aka “Jaggies”Why does
Page 12 and 13: Characteristics of the Human EyeRec
Page 14 and 15: Instead of one raythough the center
Page 18 and 19: Poisson Distributions10.90.810.90.8
Page 20 and 21: Poisson is French for “Fish”CSE
Page 22 and 23: 4x AntialiasingCSE 472 Spring 20134
Page 24 and 25: Next?CSE 472 Spring 201347Reflectio
Page 26 and 27: Recursion issuesDon’t recurse if
Page 28 and 29: How do we solve this problem?All to
Page 30 and 31: RayColor with PenumbraCPoisson2D po
Page 32 and 33: Putting it all togetherWe have thre
Page 34 and 35: Stochastic Ray TracingProblem with
Page 36 and 37: Photon map•Photon by light-based

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