Terrains are a crucial component of three‐dimensional scenes and are present in many
Computer Graphics applications. Terrain modeling methods focus on capturing landforms in …

A review of a number of methods for random fields simulation in conjunction with Monte
Carlo studies of probabilistic mechanics problems is presented from a broad perspective …

This paper describes a method for synthesizing images that match the texture appearance of
a given digitized sample. This synthesis is completely automatic and requires only the …

The third edition of this classic tutorial and reference on procedural texturing and modeling
is thoroughly updated to meet the needs of today's 3D graphics professionals and students …

A fast and accurate method of generating realizations of a homogeneous Gaussian scalar
random process in one, two, or three dimensions is presented. The resulting discrete …

In standard fractal terrain models based on fractional Brownian motion the statistical
character of the surface is, by design, the same everywhere. A new approach to the …

We present a new method for animating water based on a simple, rapid and stable solution
of a set of partial differential equations resulting from an approximation to the shallow water …

Rendering throughput has reached a level that enables a novel approach to level-of-detail
(LOD) control in terrain rendering. We introduce the geometry clipmap, which caches the …

The use of stochastic texture for the visualization of scalar and vector fields over surfaces is
discussed. Current techniques for texture synthesis are not suitable, because they do not …

This state-of-the-art report assesses the current state of development of computational
procedures as utilized in stochastic mechanics. The theoretical developments and aspects …