The Diamond Square algorithm is a fast method for generating hilly terrain with decent variance. However, it does not provide much customization and has visible jagged patterns, making it less suitable for close-up, realistic terrain. The algorithm requires generating more elements than needed, which can lead to unnatural looking patterns with small sample sizes. On the other hand, Perlin Noise can be calculated per element as needed, making it more efficient in some cases. Perlin Noise is also more customizable as it allows for techniques like FBM and Domain Warping. Additionally, it can be used in conjunction with other algorithms to achieve a wide range of customization. In terms of pure visuals, Perlin Noise generally looks better as it does not have a visible pattern like Diamond Square.

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