Ken Perlin. An Image Synthesizer.

The paper proposes the initial algorithm of Perlin Noise, and a few variations of the algorithm to simulate a variety of randomnesses in nature.

The technique produces organic randomness appears in nature. It proposes an algorithm to produce random look, which is made uniformly distributed by a narrow bandpass limit in frequency. This statistic character of the randomness maintains unchanged with varying domains. Because the algorithm satisfies statistical invariances under rotation and translation.

The most beautiful part of the paper is the description of Perlin Noise: an organized array, when associated with the gradient of the organized array and an augmentation value, both are stochastic, is transformed to a stochastic value which is used together with the gradient to interpolate areas between the stochastic value of the current organized array and the ones of other organized arrays. NOTE: the augmentation arguments for all organized arrays determines the generated stochastic values. The distribution of the augmentation arguments of all organized arrays determines the uniformness of the generated stochastic values.