US Patent 6970178 Information processing apparatus

In an information processing apparatus for conducting an affine transformation representative of(x′y′z′)=A⁡(xyz)+(t1t2t3),a matrixA′=(a11′a12′a13′a21′a22′a23′a31′a32′a33′)=λ⁢ ⁢A=(λ⁢ ⁢a11λ⁢ ⁢a12λ⁢ ⁢a13λ⁢ ⁢a21λ⁢ ⁢a22λ⁢ ⁢a23λ⁢ ⁢a31λ⁢ ⁢a32λ⁢ ⁢a33)obtained by multiplying a matrix A for the affine transformation by λ(≠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)/λ+t1;y′=(a′21*x+a′22*y+a′23*z)/λ+t2;z′=(a′31*x+a′32*y+a′33*z)/λ+t3;are calculated, and the coordinates (x′,y′,z′)t are obtained.