1st Edition

Random Patterns and Structures in Spatial Data

By Radu Stoica Copyright 2025
295 Pages 60 B/W Illustrations
by Chapman & Hall

295 Pages 60 B/W Illustrations
by Chapman & Hall

The book presents a general mathematical framework able to detect and to characterise, from a morphological and statistical perspective, patterns hidden in spatial data. The mathematical tools employed are Gibbs Markov processes, mainly marked point procesess with interaction, which permits us to reduce the complexity of the pattern. It presents the framework, step by step, in three major parts:... Read more

I Introduction: what is this book about
1.
Introduction

II Define the pattern: probabilistic modelling
2.
Marked point processes
3. Applications

III Build the pattern: Markov chains Monte Carlo simulation
4.
Markov chains: notions, properties and simulation algorithms
5.
Applications

IV Describe the pattern: statistical inference
6.
Mathematical tools for statistical pattern detection and characterisation
7.
Applications

Biography

Radu S. Stoica is a full professor in mathematics at the University of Lorraine, France. His research activity connects stochastic geometry, spatial statistics, and Bayesian inference for probabilistic modeling and statistical description of random structures and patterns. The results of his work consist of tailored to the data methodologies based on Gibbs Markov models, Monte Carlo algorithms, and inference procedures, which can characterise and detect structures and patterns either hidden or directly observed in the data. The tackled application domains are astronomy, geosciences, image analysis, and network sciences. Prior to his current position, Dr. Stoica was an associate professor at University of Lille, France. He also worked as a researcher for INRAe Avignon, France, University Jaume I, Spain, and CWI Amsterdam, The Netherlands.