Tessellation in 3D

I have a set of Points in 3D space. The image below is an example:

I would like to turn these points into a surface. I just know the X,Y and Z values of the points. For example, check out the image below, which 开发者_开发问答shows a mesh of a human face generated from points in 3D space.

i googled so much but, what i found is some images and explaination but no one has explained with practical aspect and practical example. is there any good or best algorithms which help me to solve this problem. Please.... Thaks...........

You want to do a Delaunay-Triangulation. See example application here: http://www.geometrylab.de/VoroGlide/.