工程图学斜轴测投影矩阵变换算法  

Matrix transformation algorithm on cavalier projection in engineering graphics

作　　者：闫冠[1] 王瑜蕾[1] 侯磊[1] 杨文挺[2] 邹飞舟 

机构地区：[1]吉林大学机械科学与工程学院,吉林长春130022 [2]吉林省农业机械研究院,吉林长春130022 [3]长春奥普光电技术股份有限公司,吉林长春130033

出　　处：《东北师大学报（自然科学版）》2015年第1期59-63,共5页Journal of Northeast Normal University(Natural Science Edition)

基　　金：吉林省科技发展计划项目(20090202)

摘　　要：用矩阵变换算法研究了轴测投影的图形问题学,探讨了错切变换的有效性和多样性,通过改变变换矩阵中的参数值和错切变换的矩阵变换组合方式,生成不同轴间角和轴向伸缩系数的斜轴测投影图.发现错切变换结果是多种多样的,可以生成满足不同工程需要的斜轴测投影图,为教学和编程提供了一种有效的制图方法.It makes use of the matrix transformation algorithm to research the graphics question on axonometric projection,and the service quality and validity of shear transformation is discussed in this paper.The result shows that：by means of changing the parameter value in transformation matrix and matrix transformation combination style of shear transformation,the different cavalier projection drawing which of different inter axial angle and different coefficient of axial deformation could be calculated.The different results of shear transformation could generate different axonometric projection for any engineering drawing need.It provides an effective method for the teaching and programming.

关 键 词：斜轴测投影 矩阵变换 错切 算法 

分 类 号：TG801[金属学及工艺—公差测量技术]