This paper payed attention to the properties of a collection of primitives in multiple views, and derived important properties for point-pattern matching under affine transformation, which based on the rank of a matrix of Fourier domain descriptor.

• 对平面区域或适当的变换区域中以不同视角观察时图像中的点集所具备的性质进行了研究，并得出了在仿射变换下点模式匹配所具备的重要性质，即基于不同视角下平面图形的傅立叶描绘矩阵，得到形状匹配的数学约束，并将其应用于多个视角下物体的形状识别。