By Ian O. Angell (auth.)
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Extra info for A Practical Introduction to Computer Graphics
Hence the matrix to represent this transformation (remembering that we premultiply the column vector point by the matrix) is (~ o o o o 1 o o -TX) -Ty -Tz 1 and the routine for producing such a matrix is given by the sub routine TRAN.
C THE CClNSTANT ClF THE NEW PLANE IS ZERCl. 0 DCl 1 1=1,3 N (1,J) =P (1) N (2, I) =Q (I) N (3, I) =D (1) 1 CClNTINUE C B, THE BASE PClINT ClF THE LINE IS THE PClINT ClF INTERSECTIClN ClF C THE THREE PLANES. 6 In the routine to find the inverse of a matrix we had to calculate the determinant of the matrix, DET. The matrix in the last example is in a very special form, and so we recalculate DET DET =Pt (Ptq2 2 - P2qtq2 + Ptq/ - P3qtq3) +P2(P2q/ -P3q2q3 +P2qt 2 -ptQ2qd + P3(P3Qt 2 - PtQ3Qt + P3Q/ - P2Q3Q2) = Pt 2 (Q2 2 +Q/) + P2 2 (Q/ +Q:!
2. /2 inches rotated through 'Ir / 4 radians. ) ~ SIMPLE COVERING METHOD Covering is the exact opposite of clipping. Again we have a rectangle (2DX by 2DY inches; DX and DYare now in the COMMON store labelIed /INNER/), but in this case allIine segments inside the rectangle are deleted. 2b with the inner rectangle. This technique is normally used when information (such as messages) are to be written over a complicated diagrarn. Rather than cause confusion by overwriting part of the design, part of the diagram is blanked out hy covering and the required message written inside the cover.
A Practical Introduction to Computer Graphics by Ian O. Angell (auth.)