A new method that can be used to analyze the developability of a curved surfaces " mesh is proposed based on gaussian theory of mapping a curved surface onto a unit global surface . 3 . a new method is proposed to homo - topologically map a triangular finite element mesh into a planar shape based on the assumption that the surface deformation is continuous and homogeneous 3 、根据曲面变形连续均匀的特点，提出了一种基于单元等变形的三角形曲面网格拓扑等价映射算法，将可展曲面与不可展曲面的网格采用统一的形式展开到平面上。
