During the past twenty years spatial statistics has experienced important developments and has been applied in many fields of science. In view of these facts, spatial statistics was an important topic during the theme year on statistics at the CRM (Centre de recherches mathématiques, Université de Montréeal) in 1997-98. This volume contains 13 papers based on presentations by eminent researchers at four workshops during that year: Statistical Inference for Spatial Processes, Image Analysis, Applications of Spatial Statistics in Earth, Environmental, and Health Sciences, and Statistics of Brain Mapping. These papers range from asymptotic considerations for spatial processes to practical considerations related to particular applications including important methodological aspects. Many contributions concern image analysis, mainly images related to brain mapping.This volume will be of interest to researchers in spatial statistics and to applied scientists considering how to utilize these tools. It should also be helpful to young researchers look for research topics.Marc Moore is professor of statistics at the École Polytechnnique de Montréal. He has been Editor of the Canadian Journal of Statistics and is a former President of the Statistical Society of Canada.