| 1. | A developable surface is one that can be made from a flat sheet without any in-plane strains .
可展曲面是一个可以由平板在不发生任何面内应变的条件下弯成的曲面。 |
| 2. | Computer - aided design of uniformly developable surfaces
均匀样条上可展面的计算机辅助设计 |
| 3. | Construction and application of approximate developable surfaces
近似可展曲面的构造及应用 |
| 4. | Algebraic developable surface
代数可展曲面 |
| 5. | Two classes of developable surfaces with any c - b zier curve as curvature curve and geodesic curve respectively are constructed
Zier曲线为该可展曲面的曲率线和测地线。六、以上提出的c - b |
| 6. | Finally , the complex surfaces are developed by partition of the surfaces into small surface segment , and approximation of the small segment with the developable surface between two bezier curves
Zier曲线上的直纹面，给出了它成为可展曲面的一个充分条件，并通过保角保长原则，将其贴合到平面上。 |
| 7. | 3 . by using the dual concept between points and planes in 3d projective space , two classes of developable surfaces on c - b zier curve are constructed . the former is as a envelope of one - parameter plane family
Zier曲线上可展曲面造型的方法：一个是作为单参数平面族包络面的可展曲面构造，另一个是作为脊线的切线曲面的可展面构造。 |
| 8. | 2 . the bending status of curved surfaces is analyzed with differential geometrical theory and the concept curve of a surface is defined . as a result , the essential features of a developable surface are presented
2 、利用经典微分几何学的理论对曲面在空间中的弯曲状态进行了分析，定义了曲面弯曲的概念，指出了可展曲面的基本特征。 |
| 9. | With this method , developable surfaces and non - developable surfaces can be developed in a unique way . the developable surfaces can be developed submitted to certain error , and the non - developable surfaces developed homo - topologically
对于可展曲面，利用该算法可以得到在一定误差范围内的展开结果；对于不可展曲面，则可得到与原曲面拓扑等价的展开网格。 |
| 10. | Finally , when a 00 , the limt situations for the developable modeling and surface development above are all disscussed and compared with those on bezier curve . the programs of the above methods und algorithms are developed , which shall be used in the system of developable surface modeling for cad / cam
Zier曲线上可展曲面造型方法和曲面展开算法，均给出了当0时的极限，并与b ? zier曲线的情形作了分析和比较。这些方法和算法均应用于实例在计算机上得以实现。 |
