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In digital geometry processing, many applications such as morphing, deformation and texture transfer etc. require a bijective mapping between two or among more models. 大部分几何处理的应用，都需要两个或是多个模型的一对一对应关系。这些对应关系建立出来后，必需要能够表现出原模型的特徵及形状。
There is a map of the world on the wall. 墙上有张世界地图。
He spread the map flat out on the floor. 他把地图平铺在地上。
Some Bijective Mapping In the Eguipotent Problem of Sets 集合对等问题中的反射
The road we should take is marked on the map. 我们要走的路已经标在地图上了。
On the map the drains of each field are laid sown. 地图上标有每一块地的排水沟。
I found this old map in the family archives. 我在家谱中发现了这幅旧地图。
I prick the map with a pin to show our route. 我用大头针在地图上扎孔标出我们的路线。
The airport is arrowed on the map. 飞机场在地图上用箭头标出。
The map is in error regarding the junction. 这张地图在这个交点上是绘制错了。
bijective map 一一对应的映射
He drew a world map on a sphere. 他在球上面画了一幅世界地图。
The place is marked on the map with a crossing. 那个地方在地图上以十字形记号标出。
Do not draw the map, just write the answer. 不要画地图，只写答案。
He fitted the map snugly into the bag. 他把地图整齐地塞进包里。
At the moment he was studying a map. 这时候他正在看地图。
He was puzzling over the old map. 他对着那张旧地图苦苦思索着。
On the wall of his office was a large map. 在他办公室的墙上是一幅大地图。
We traced out our route on the map. 我们在地图上画出我们的路线。
It is bijective if both injective and sujective. 既单又满的映射称为一一对应。