On Three-Dimensional Continuous Graphic Transformations --Calculation and Implementation[J]. Journal of Image and Graphics, 2001, 6(12): 1240. DOI: 10.11834/jig.2001012262.
we briefly classified the several major continuous graphic transformations current in use in the area of computer graphics. Long till now
many graphics organizations or companies have their own unique graphics transformation methods. It seems they do not care for the goodness of other people's implementing methods. But in fact
many of their methods are similar in a sense. So
it is valuable to classify these various different graphics transformations into several major categories and make each one know what category his method belongs to and what goodness the other transformation category has. Besides
we had proposed a new solution to the application of implied matrix method
a most important continuous graphic transformation method
in the construction of graphics objects. In the concrete
we have solved the following problems: For a giving pointP
let it rotate an angleθ1 round the spindleR1and reaches pointP1
thenP1in turn rotate an angleθ2 round the spindle R2 and reaches point P2
Can we combine these two rotations? In other words
Can we get a spindleR3and an angleθ3 so that P just rotate the angleθ3 round R3 and it will reach P2
the resolution to this problem result in a software's generation which is much like the famous 3D Max.