Posts about program to perform 2d transformations in c++ written by Darshan Gajara.

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Computer Graphics Program For 2D transformations In C Programming. This is a simple computer graphics tutorial for beginners showing 2d transformations in C programming with output.Basic Computer Graphics Program with rotation,scaling,translation and reflection. You can download the source code from the link given below and try yourself, before running the program you need to change bgi directory according to your system.

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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.