Answer
See the explanation
Work Step by Step
Here's an explanation with diagrams:
a. **Projection Plane:**
- The projection plane is a flat surface onto which the three-dimensional (3D) objects or scene are projected to create a two-dimensional (2D) representation. It serves as the canvas where the scene is "painted."
- Diagram:
```
(Projection Plane)
--------------------------------------
| |
| |
| |
| (3D Objects) |
| |
| |
| |
--------------------------------------
```
b. **Center of Projection:**
- The center of projection is the point or location in space from which the projection of the 3D scene onto the projection plane is observed or viewed. It determines the perspective and orientation of the resulting image.
- Diagram:
```
O (Center of Projection)
|
|
|
------------------------------
| |
| |
| |
| (Projection Plane) |
| |
| |
| |
------------------------------
```
c. **View Volume:**
- The view volume is the 3D region or space in the scene that is visible from the chosen viewpoint or center of projection. It defines the boundaries within which objects are visible in the resulting projection.
- Diagram:
```
_____________
/ /|
/ / |
/ / |
/ / |
/ / |
/____________/ |
| | |
| | |
| | |
| | |
|___________| /
| /
| /
| /
| /
| /
| /
|/
```
d. **Image Window:**
- The image window is the rectangular area on the projection plane where the resulting image of the 3D scene is formed. It represents the portion of the projection plane that contains the projected scene.
- Diagram:
```
(Projection Plane)
--------------------------------------
| Image Window |
| |
| |
| |
| |
| |
| |
--------------------------------------
```
