The document discusses the window to viewport transformation process which maps a 3D world coordinate system to a 2D device coordinate system for display. It involves scaling, rotation, translation and clipping transformations. A window defines the region of the 3D world to view, while the viewport defines where on the display device this window will be mapped to. The mapping from world coordinates within the window to device coordinates within the viewport involves coordinate system transformations. Zooming effects are achieved by changing the relative sizes of the window and viewport.

2. Just think about an artist
when he does live painting.
First he decides the area
he want to paint .
After that he decides the
are where to paint in his
drawing sheet.
After that he decide the
ratio or the size of image.
At last he start his
painting after all
calculations to draw
accurate paintings.

3. Window to View-Port Transformation
 Window to View-Port Transformation is the
transformation from world to device coordinates. It is
actually a combination of many transformations. It
basically involves translation,
scaling, rotation transformations. It also requires
methods to delete those portions of the scene which
are outside the selected display area. This is
called clipping.

4. WORLD COORDINATE?
 World coordinate is the actual physically vision that we
experience in everyday life.

5. What is Window?
 Window is a world coordinate area selected for display.
So, the Window defines what is to be viewed . First
of all, we have to decide which portion of the real
world, we want to display.

6. View-Port
 A View-Port is an area on a display device. Where we
map a window. So, Viewport defines where is to be
viewed. We also have to decide that at which portion
of the display device, we want to view a particular
scene.

7. Window to View-Port
Transformation
 Now there are two coordinate systems. One is the
World Coordinate system. While other is the Device
Coordinate system. Therefore, The mapping of a world
coordinate scene to device coordinate is Window to
Viewport Transformation or Windowing
transformation.

8. Viewport Transformation

9. WINDOW TO VIEWPORT
TRANSFORMATION numerical
 *For every point (Xw,Yw) in the window there is
a corresponding or equivalent or relative point (Xv, Yv)
in view port


11. Applications of View-Port
 We can view objects at different positions on the display
area of an output device by changing the positions of the
viewport. Therefore, We can change the size and
proportions of displayed objects by varying the size of the
viewport. It is also possible to determine many viewports
on different areas of display and view the same object at a
different angle in each viewport.
 Zooming Effect-:
 Zooming Effect is Successively mapping different sized
windows on a fixed size viewport. As the windows are made
smaller, so we zoom in on some part of a scene to view
details that were not visible in large windows. Also, We can
obtain more overview by zooming out from a section of a
scene with successively larger windows.

12. While zooming any object
scaling and translation factor
comes in action.

13. THANK YOU for paying attention…