The 3-D palmprint recognition has been investigated for over ten years, and various methods have been proposed for 3-D palmprint recognition. In this article, we present a comprehensive overview of feature extraction and matching for 3-D palmprint recognition over the past decade. First, we introduce the 3-D palmprint data acquisition and preprocessing processes. Second, we comparatively study the state-of-the-art feature extraction schemes for 3-D palmprint recognition. Third, we conduct selected experiments to comparatively analyze the representative 3-D palmprint feature descriptors. Finally, we offer selected potential directions for 3-D palmprint recognition in future work. We believe that this article provides a helpful guide to researchers working in the fields of palmprint-based and 3-D-based biometrics.