Clipping in Computer Graphics

Consider a screen displaying a picture.
World coordinates define a window with coordinates:
- X minimum ( $X<em>{min}$ ) and Y minimum ( $Y</em>{min}$ ).
- X maximum ( $X<em>{max}$ ) and Y maximum ( $Y</em>{max}$ ).
This window is called the clipping window.

The clipping window isolates a specific portion of the image for display.
Coordinates within the clipping window:
- X minimum ( $X_{min}$ ): Left boundary of the window.
- X maximum ( $X_{max}$ ): Right boundary of the window.
- Y minimum ( $Y_{min}$ ): Bottom boundary of the window.
- Y maximum ( $Y_{max}$ ): Top boundary of the window.
The goal is to display only the object inside the clipping window.
Any part of the object outside the window is clipped (removed).

Drawing to the display takes time, hence clipping.
Anything outside the window is clipped to optimize the process.
Example: If a picture extends beyond the clipping window, the parts outside are removed to "perfect" the image within the window.

Extracting the desired part of an image.
Identifying visible and invisible areas in a 3D object.
- Parts inside the clipping window are visible.
- Parts outside the clipping window are invisible.
Creating objects using solid modeling.
Drawing operations.
Operations related to pointing objects.
Detecting details, such as deleting, copying, and moving parts of an object.