Procedural Terrain Generation With Fractional Brownian Motion

A Procedural, Minimal Input, Natural Terrain Plug-in for Blender

This paper uses methods of terrain representation, creation and realism described in literature. In particular a combination of terrain synthesis using Fractional Brownian Motion, and erosion procedures is examined, as well as the procedural formation of rivers via squig curves. Other techniques are examined, such as Triangulated Irregular Networks and ridges generation are discarded in terms o...

Literature Review

This review examines methods of terrain representation, creation and realism described in literature. In particular a combination of terrain synthesis using Fractional Brownian Motion, and erosion procedures is examined, as well as the procedural formation of rivers. Other techniques as examined, such as Triangulated Irregular Networks and ridges generation and discarded in terms of this projec...

Polynomial method for Procedural Terrain Generation

A systematic fractal brownian motion approach is proposed for generating coherent noise, aiming at procedurally generating realistic terrain and textures. Two models are tested and compared to Perlin noise method for two-dimensional height map generation. A fractal analysis is performed in order to compare fractal behaviour of generated data to real terrain coastlines from the point of view of ...

Existence and Measurability of the Solution of the Stochastic Differential Equations Driven by Fractional Brownian Motion

Dynamic Terrain Generation Based on Multifractal Techniques

The work, described in this paper, covers three topics: real-world terrain analysis, synthetic terrain generation based upon the results of the analysis stage, and dynamic terrain generation. Each topic involves the theory of multifractals. First, a summary of four known fractal-based techniques for terrain generation is presented including fractional Brownian motion, Mid-point displacement, It...