Recitation 5: Rendering Fractals

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Julia Distance Function ● ● ● ● There is a distance estimator function for Julia Sets Gives lower bound on the distance to the set from any point in space Iterate section equation simultaneously with Julia set equation: – z n ' = 2z n z n ' Then, the distance is estimated by: d (z)= ∣ z n ∣ 2∣z n '∣ log ∣z n ∣
Julia Distance Function ● ● ● We can actually just render this function! Distance function is smooth, so we can render the isosurface of it More iterations improve the estimate
Page 1 and 2: CS179: GPU Programming Recitation 5
Page 3 and 4: Volume Data ● ● ● ● Stored
Page 5 and 6: Textures ● ● ● ● Can set pr
Page 7 and 8: Lab 5 ● ● Rendering quaternion
Page 9 and 10: The Mandlebrot Set
Page 11 and 12: The Mandlebrot Set ● Defined by i
Page 13: Julia Set ● Each point of the Man
Page 18 and 19: Quaternion Julia Sets ● We could
Page 20 and 21: Quaternion Julia Sets ● So, we ca
Page 22 and 23: Quaternions in Lab 5 ● ● ●
Page 26 and 27: Julia Distance Function ● How to
Page 28 and 29: Best Rendering ● ● ● ● ●
Page 30 and 31: Computing Normals ● Theoretically
Page 32 and 33: Important Note on Registers ● ●
Page 34 and 35: Lab 5 ● ● ● ● Organize your
Page 36 and 37: Cool stuff: ● ● Color it howeve
Page 38: Final Notes ● We could just raytr

Recitation 5: Rendering Fractals

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