Spatial Process Generation

TL;DR

This paper presents methods for generating various types of random spatial data, including Gaussian, Markov, point, Wiener, and Levy processes, with practical MATLAB code for implementation.

Contribution

It introduces a comprehensive approach to generate multiple types of spatial processes with accompanying MATLAB code, facilitating research and applications.

Findings

Provides algorithms for generating Gaussian and Markov random fields

Includes methods for simulating point, Wiener, and Levy spatial processes

Offers practical MATLAB code for implementation

Abstract

The generation of random spatial data on a computer is an important tool for understanding the behavior of spatial processes. In this paper we describe how to generate realizations from the main types of spatial processes, including Gaussian and Markov random fields, point processes, spatial Wiener processes, and Levy fields. Concrete MATLAB code is provided.