Outlier detection and cleaning is an essential step in data preprocessing to ensure the integrity and validity of data analyses. This paper focuses on outlier points within a individual trajectories, i.e., points that deviate significantly inside a single trajectory. We benchmark ten open-source libraries to comprehensively evaluate available tools, comparing their efficiency and accuracy in identifying and cleaning outliers. This benchmarking considers the libraries as they are offered to end users, with real-world applicability. We compare existing outlier detection libraries, introduce a method for establishing ground-truth, and aim to guide users in choosing the most appropriate tool for their specific outlier detection needs. Furthermore, we survey the state-of-the-art algorithms for outlier detection and classify them into seven types: Statistic-based methods, Sliding window algorithms, Clustering-based methods, Graph-based methods, Ensemble-based methods, Learning-based methods, and Heuristic-based methods. Our research provides insights into these libraries' performance and contributes to developing data preprocessing and outlier detection methodologies.