From a strict semantic point of view, nonlinear image processing encompasses all image processing that is not based on linear operators; however, from a practical, evolutionary point of view, the name itself is usually associated with the study of nonlinear filters, mainly the deterministic and nondeterministic analysis and design of logic-based operators. This Tutorial Text volume explores logic-based operators with emphasis on representation, design, and statistical optimization of nonlinear filters. - Basic Binary Operations - Binary Filtering with Opening and Closing - Representation of Binary Operators - Gray-Scale Morphological Operators - Median and Order Statistics - Stack Filters - Statistical Properties of Median-type and Stack Filters - Optimization of Weighted Median Filters - Optimal Binary Filters - Some Particular Nonlinear Filters