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The tutorial discusses the use of facial points as feature descriptors to analyze facial expressions. It emphasizes comparing angles of specific facial features, which can indicate expressions effectively. However, these points have limitations; for example, subtle changes, like a dimple in the mouth, may not prompt significant geometric variations. Instead, they result in changes in appearance. The tutorial highlights the importance of detecting these appearance features, noting that a smile affects the mouth's corners differently than a neutral expression. The goal is to encode these appearance changes while minimizing irrelevant variations in the features captured.