By Ian O. Angell (auth.)

ISBN-10: 0333310837

ISBN-13: 9780333310830

ISBN-10: 1349165921

ISBN-13: 9781349165926

**Read or Download A Practical Introduction to Computer Graphics PDF**

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**Extra resources for A Practical Introduction to Computer Graphics**

**Example text**

3, C SETUP THE TOTAL TRANSFORI"f1TION I"f1TRIX R. P) CALL t1-'L T2 'P. Q. O) BY R. AND M(JvE TO THAT POINT PLOT HEAD UP ) . 031415926535 C FIND 200 PO INTS ON THE EL LIPSE . TRANSFORM THEM WITH R. AND JO Tri C THEM IN SEQUENCE. 3) of radius R, cent red at (XC, YC), where one axis of the figure makes an angle PHI with the positive x-axis. The parametric form of an astroid is {(R cos 3 0, R sin 3 0) I 0 :e;;; 0 :e;;; 21T} . -1 >< CIS I >. 3 CHANGE OF SPACE Instead of transforming the axes of a coordinate system we now consider what happens when the axes are fIXed and the whole fabric of space is changed about them.

TRANSFORM THEM WITH R. AND JO Tri C THEM IN SEQUENCE. 3) of radius R, cent red at (XC, YC), where one axis of the figure makes an angle PHI with the positive x-axis. The parametric form of an astroid is {(R cos 3 0, R sin 3 0) I 0 :e;;; 0 :e;;; 21T} . -1 >< CIS I >. 3 CHANGE OF SPACE Instead of transforming the axes of a coordinate system we now consider what happens when the axes are fIXed and the whole fabric of space is changed about them. Again there are three basic types of change. Linear Transformation The whole of space is moved by a vector (Tx, Ty); thus a point (x, y) relative to the axes is moved to a point (x + Tx, y + Ty).

NE. lJ Gß Tß 1 C (Xl. YlJ AND (X2. Y2j LIE ßUTSIDE AND ßN THE SAI"E SIDE AS ßNE ßF C THE EXTENDED EDGES ßF THE CßVER. Sß DRAW THE CßMPLETE SEGI"ENT. YlD). Yl) FßR THE MßI"ENT. YID) NßT BETWEEN THE Y-EDGES MOVE PßINT 1 Tß NEARER Y-EDGE. YID). 2) C REPEAT THE ABßVE PRßCESS FßR PßINT 2. 00001. AND. ABS (Y2-Y2D) . 3. Ifboth of the points defining the line segment lie on the same side of one pair of rectangle edges (that is, IXh IX2 = I or IYI *IY2 = 1) then the line lies completely outside the rectangle and must be drawn in total, for example, AB.

### A Practical Introduction to Computer Graphics by Ian O. Angell (auth.)

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