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Sharlintoday at 5:56 PM1 replyview on HN

This is addressed in Perlin's improved noise function that uses a 5th degree polynomial ("smootherstep", t³·(10t·(6t-15)) in Horner's form) for interpolation which has everywhere continuous first and second derivatives.


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badpuntoday at 5:58 PM

Yes, that's what I did and what I reffered to in my post (I forgot that it gave you C(2) and not just C(1), it's been a couple of months since I worked on this). There are still visual artifacts, they're just smaller. Even Perlin's paper on this showed a picture of the artifacts that the 5th degree polynomial still generates.