摘要
本文提出变视角变换的概念,这是一种有实用价值的非线性变换,以代数函数的形式给出了三维空间倍视角变换矩阵、半视角变换矩阵和三倍视角变换矩阵,并以三角函数的形式给出了一般变视角变换的计算方法。按本文方法用计算机可画出具有桶形畸变或枕形畸变等特殊效果的图形。本文还给出了求变视角体视图的方法,用这种体视图可在小视野内观察大视野的立体景物。最后还讨论了三维空间变视角变换的性质。
The concept of the transformation with changed viewing angles is presented in this paper.It is thenonlinear transformation & very useful in practice.With algebraic function,this paper gives the trans-formation matrixes of dual viewing angles.half viewing angles and triple viewing angles.The calcula-tion methods of changed viewing angles are given with the trigonometric function.According to themethods presented in this paper,the picture with drum or pillow distortion can be drawn by using com-puters.The methods to draw the stereographic drawings with changed viewing angles are given in thispaper.The scenery of larger viewing angles with the field of small viewing angles can be seen with thisstereographic drawings.The characteristics of the transformations with changed viewing angles in threedimensions are discussed in the paper.
出处
《图学学报》
CSCD
1990年第1期9-16,共8页
Journal of Graphics