Answer to Question #258197 in Mechanical Engineering for Pavan

Question

Explain the concept of obtaining reflection about an arbitrary line starting from plane reflection about an axis. How do you obtain the orthographic projection of geometric database.

Answer 1

Answer;

Reflecting about an arbitrary plane following steps to be followed..

1) Rotate working coordinate system, so that one of the coordinate axis lies onto the line 2) Transform the working co-ordinate system, so that line passes through origin. 3) Reflect about aligned axis. 4) Restore the working co-ordinate system by using inverse rotation and translate transformation.

To project 3D point px pup on the 2D point q, and q, using orthogonal projection parallel to Y-asis using following equation..

Cx-S, P+C q=S, P+ C,

Reflection about any arbitrary line is obtained by the process of translation of line so that it passed through WCS, rotation of WCS and reflecting it about the line and after getting reflection restore it.

Orthographic projection of any 3D object is obtained by projecting it on a parallel planes which are mutually perpendicular and Orthographic projection is the 2D view of 3D object obtained by projecting normal to the plane View