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三维连续图形变换的一类算法与实现

陈国华1(广东职业技术师范学院计算机科学系,广州 510633)

摘 要
概括地将当前主要的几种连续图形变换方法加以分类,并对其中非常重要的一类,即连续图形变换方法-隐式矩阵计算法在构造图形对象的时的应用,提出了一种新的解决方案。具体说,主要解决了如下问题:假如一个任意点P绕对称轴R1旋转角度θ1,得到点P1,再绕对称轴R2旋转角度θ2,得到点P2,那么能否合并这两次旋转,即找到一个对称轴R3,使得P绕R3旋转一个角度θ3即可得到点P2。这一问题的解决,致使最终设计出了一个类似于3D MAX的产品-凯迪电子教具。
关键词
On Three-Dimensional Continuous Graphic Transformations --Calculation and Implementation

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Abstract
In this paper, 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.
Keywords

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