INFORMATION PROCESSOR

摘要

In an information processing apparatus for conducting an affine transformation representative of $\left(\begin{array}{c}{x}^{\text{'}}\\ y^{\text{'}}\\ z^{\text{'}}\end{array}\right)=A\left(\begin{array}{c}x\\ y\\ z\end{array}\right)+\left(\begin{array}{c}{t}_1\\ t_2\\ t_3\end{array}\right),$ a matrix $A^{\text{'}}=\left(\begin{array}{ccc}{a}_{11}^{\text{'}}& a_{12}^{\text{'}}& a_{13}^{\text{'}}\\ a_{21}^{\text{'}}& a_{22}^{\text{'}}& a_{23}^{\text{'}}\\ a_{31}^{\text{'}}& a_{32}^{\text{'}}& a_{33}^{\text{'}}\end{array}\right)=\mathrm{lambda}A=\left(\begin{array}{ccc}\mathrm{lambda}{a}_{11}& \mathrm{lambda}{a}_{12}& \mathrm{lambda}{a}_{13}\\ \mathrm{lambda}{a}_{21}& \mathrm{lambda}{a}_{22}& \mathrm{lambda}{a}_{23}\\ \mathrm{lambda}{a}_{31}& \mathrm{lambda}{a}_{32}& \mathrm{lambda}{a}_{33}\end{array}\right)$ obtained by multiplying a matrix A for the affine transformation by lambda(<>0) is stored in a memory section in advance. In case of conducting calculation processing for transforming coordinates (x,y,z)^t into coordinates (x',y',z')^t by means of the affine transformation, A' and a matrix (t₁,t₂,t₃)^t are read from the memory section, x'=(a'₁₁*x+a'₁₂*y+a'₁₃*z)/lambda+t₁; y'=(a'₂₁*x+a'₂₂*y+a'₂₃*z)/lambda+t₂; z'=(a'₃₁*x+a'₃₂*y+a'₃₃*z)/lambda+t₃; are calculated, and the coordinates (x',y',z')^t are obtained.