三维包装造型的数学算法与实现

通过研究计算机图形学和包装盒型构造的数学算法来实现三维包装的造型.计算机图形学中研究了坐标变换,包括平移变换和旋转变换.包装盒型的构造是先绘制出包装盒的平面展开图,使用变换矩阵、坐标变换,把对象的几何坐标转换到屏幕上的像素位置,显示平面盒型成型后的三维整体形状,通过交互式的修改得到一个完美的盒型设计.

Mathematics calculate way and realizations of the three dimensions packaging shape

This paper studies the computer graphic and the mathematics calculated way to carry out the shape of the three-dimension packaging. The computer graphic mainly uses some knowledge of coordinate transformation, It includes moving the transformation and revolving the transformation. First draw the flat surface of a packaging box, which can use the different parametcr to produce the different box that we wanted. Then draw each top of the three dimension packaging using a transformation matrix. On the screen manifestation the sceneries of three dimension be come to he the projection of two dimensions. This need to do some coordinates transformation, which can change several geometry coordinates to the pixel position on the screen. By three-dimension manifestation methods we can get a perfect design by modification.