Programming Techniques. Tutorials and Mini Projects of C, C++, PHP, OpenGL, and other languages with C/C++ codes of Data Structure, Numerical Methods and Computer Graphics.
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If a point (x, y, z) is rotated through angle θ about x – axis to a new point (x’, y’, z’) then the new point is calculated as y’ = y cosθ – z sinθ z’ = y sinθ + z cosθ x’ = x About y – axis z’ = z cosθ – x sinθ x’ = z sinθ + x cosθ y’ = y About z – axis x’ = x cosθ – y sinθ y’ = x sinθ + y cosθ z’ = z Scaling Scaling with respect a selected fixed position (xf, yf, zf) can be represented with the following transformation sequence: 1. Translate the fixed point to the origin 2. Scale the object relative to the coordinate origin 3. Translate the fixed point back to its original position The equations for this sequence of transformation is (where s is scaling factor) x’ = x * s + (1 – s) * xf y’ = y *s + (1 – s) * yf z’ = z * s + (1 – s) * zf Source Code.
Problem Definition: Write a program to implement 2-D Transformations viz., (a) Translation (b) Rotation (c) Scaling for an Object. #include #include #include #include void main(){ int x1=200,y1=200,x2=250,y2=250,x3=180,y3=270,option; int gdriver = DETECT,gmode; initgraph(&gdriver,&gmode,”C: TC BGI”); do{ cleardevice(); gotoxy(1,1); line(x1,y1,x2,y2); line(x2,y2,x3,y3); line(x3,y3,x1,y1); cout>option; switch(option){ case 1: float tx,ty; cout>tx>>Trial techniques pdf. ty; x1+=tx;x2+=tx;x3+=tx; y1+=ty;y2+=ty;y3+=ty; break; case 2: float sx,sy.