In the positioning and registration of a three-dimensional human vertebrae model, the main difficulty encountered is the extraction and matching of the model feature points. To accurately locate the vertebrae, it is necessary to optimize the existing feature point extraction and matching method. In this context, the present study was envisaged to achieve the purpose of accurate extraction and matching by integrating the features of curvature and Euclidean distance. It was found that this method removed the redundant point cloud data in the 3D model, thereby effectively improving the matching rate. Initially, the feature points were manually picked as the circle center, and the mean value ([Formula: see text]) of average curvature ([Formula: see text]) of all points in the specified infinitesimal radius ([Formula: see text]) sphere neighborhood were calculated. When [Formula: see text], it implied the point [Formula: see text] tended to be flat relative to the whole point cloud surface, and was not regarded as a feature point. When [Formula: see text], the point [Formula: see text] exhibited a greater curvature relative to the whole point cloud surface, that is, a more prominent point. In this case, point [Formula: see text] met the basic conditions for becoming a feature point and was included in the candidate feature point set. Subsequently, the Euclidean distance between the points in the candidate feature point set and the manually picked circle center points was calculated individually. The smaller the Euclidean distance between the two points, the higher the degree of feature similarity between the two points, and the stronger the matching of feature points. Therefore, the manually picked points were replaced with the candidate feature point with the closest distance that accurately reflected the change of the local geometric characteristics of the point. It was found that the accuracy of the improved method of the feature point extraction and matching was about 18% higher than that before the improvement, which verifies the effectiveness and robustness of the proposed method.