北京印刷学院学报
北京印刷學院學報
북경인쇄학원학보
Journal of Beijing Institute of Graphic Communication
2006年
2期
8~11
,共null页
计算机图形学 坐标变换 变换矩阵 三维包装
計算機圖形學 坐標變換 變換矩陣 三維包裝
계산궤도형학 좌표변환 변환구진 삼유포장
computer graphic; coordinate transformation; transformation matrix; three dimensional packaging
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。
通過研究計算機圖形學和包裝盒型構造的數學算法來實現三維包裝的造型。計算機圖形學中研究瞭坐標變換,包括平移變換和鏇轉變換。包裝盒型的構造是先繪製齣包裝盒的平麵展開圖,使用變換矩陣,坐標變換,把對象的幾何坐標轉換到屏幕上的像素位置,顯示平麵盒型成型後的三維整體形狀,通過交互式的脩改得到一箇完美的盒型設計。
통과연구계산궤도형학화포장합형구조적수학산법래실현삼유포장적조형。계산궤도형학중연구료좌표변환,포괄평이변환화선전변환。포장합형적구조시선회제출포장합적평면전개도,사용변환구진,좌표변환,파대상적궤하좌표전환도병막상적상소위치,현시평면합형성형후적삼유정체형상,통과교호식적수개득도일개완미적합형설계。
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.