To analyze the distribution pattern of thorny shrubs and its impact factors, 460 sample sites were collected in mountains of the Beijing-Tianjin-Hebei region. Results showed that about 60% of sample sites had thorny shrubs, which were mainly the shrub community dominated by Vitex negundo var. heterophylla. In a small number of sample sites, thorny shrubs even became the dominant species. Twenty-four thorny shrub species were mainly from the families Rhamnaceae, Rosaceae and Leguminosae. The most common three species (Ziziphus jujuba, Rhamnus parvifolia and Caragana rosea) are mainly distributed on the gentle sunny and half-sunny slopes in the hilly area with elevation lower than 600 m a.s.l.. Quantitative analysis also showed that light condition and drought were limiting factors for growth of thorny shrubs (especially Ziziphus jujuba). Affected by climate, topography, and community factors together, thorny shrubs can be distributed under different habitats in mountains of the Beijing-Tianjin-Hebei region.
Using the matrix expression form of computer vision projection equation, the collinear equation is constructed into matrix equation. With the projection matrix element as a composite function, this paper realizes the unification derivation of each variable of the collinear equation based on the matrix analysis method. Compared with the traditional analytical method of linearization, the form of matrix analysis process is quite succinct and easy to understand, which can be used to the numerical solution of linear library application. For the various construction form of the rotation matrix, this method has better adaptability. The constructed matrix of collinear equation has important enlightenment significance for using computer vision method.