A new concept of point-cloud feature detection operator called linear intercept ratio feature detection operator was introduced in this paper. Herein, the linear intercept ratio was defined based on the geometric relation between the adjacent points to construct the function of feature point extraction modified by the Gaussian function of the distance between the points. The experimental results denote that the proposed method exhibits a decreased error recognition rate with the increase of the noise intensity in the model. Further, the proposed method can rapidly and accurately screen out the feature points, and exhibits a good anti-noise capability and an enhanced feature recognition ability.