3D Reflection
3D Reflection in Computer Graphics-
- Reflection is a kind of rotation where the angle of rotation is 180 degree.
- The reflected object is always formed on the other side of mirror.
- The size of reflected object is same as the size of original object.
Consider a point object O has to be reflected in a 3D plane.
Let,
- Initial coordinates of the object O = (Xold, Yold, Zold)
- New coordinates of the reflected object O after reflection = (Xnew, Ynew,Znew)
In 3 dimensions, there are 3 possible types of reflection:
- Reflection relative to XY plane
- Reflection relative to YZ plane
- Reflection relative to XZ plane
Reflection Relative to XY Plane:
This reflection is achieved by using the following reflection equations:
- Xnew = Xold
- Ynew = Yold
- Znew = -Zold
In Matrix form, the above reflection equations may be represented as-
Reflection Relative to YZ Plane:
This reflection is achieved by using the following reflection equations-
Xnew = -Xold
Ynew = Yold
Znew = Zold
In Matrix form, the above reflection equations may be represented as-
Reflection Relative to XZ Plane:
This reflection is achieved by using the following reflection equations-
- Xnew = Xold
- Ynew = -Yold
- Znew = Zold
In Matrix form, the above reflection equations may be represented as:
