Parallel and perspective projection in 3 d cg

Parallel and perspective projection in 3 d

1. GANDHINAGAR INSTITUTE OF TECHNOLGY Department of Information Technology Parallel and Perspective Projection in 3D Group ID: IT_B2 Student Name(Enroll No ): Shaishav Shah(170120116094) Name of Faculty : Prof. Swapnil Panchal Computer Graphics (2151603)

2. Co n tents Overview of 3D Projection. Types of 3D Projection. Brief introduction to Parallel projection. Introduction to Perspective Projection. What is Vanishing point ?? Types of Perspective Projection. References. Conclusion.

3. Overview of 3D Projection: Projection is a method of mapping a 3 dimensional object into a 2 dimensional view plane. Mapping is determined by the projection line called Projector.

4. Types of 3D Projection: Two types of projections are there. Those are Perspective projection and Parallel projection. Projection Reference Point(PRP) or Center of Projection point is a point, where projection lines converges.

5. Brief introduction to Parallel projection: In parallel projection, projection lines are parallel to each other. Image on the view plane of the object will be equal size with the object.

6. Projection Reference Point(PRP) lies in infinite position. Different types of parallel projection are given bellow:

7. Introduction to Perspective Projection: Projection lines are drawn from the object point towards view plane.

8. Image of the object in the view plane is smaller than the real object. PRP lies in finite position. Realistic image relative proportion could not be preserved. Commonly used by artists and the designers.

9. What is Vanishing Point: Parallel lines that are not parallel to the viewing plane, converges to a Vanishing Point .

10. T ypes of Perspecti v e P r oje c ti o n: Three types of Perspective Projection are there. One Principal Vanishing Point Perspective Projection. Two Principal Vanishing Point Perspective Projection. Three Principal Vanishing Point Perspective Projection.

11. One Principal Vanishing Point Perspective Projection: This Perspective projection occurs when the projection plane intersect to one of the Principal axis(x, y or z).

12. Example of one point vanishing:

13. Two Principal Vanishing Point Perspective Projection: This Perspective projection occurs when the projection plane intersects exactly any two of the Principal axis(x, y or z).

14. Example of two point vanishing:

15. Three Principal Vanishing Point Perspective Projection: This Perspective projection occurs when the projection plane intersects to all the three Principal axis(x, y and z).

16. Example of one point vanishing:

17. References: https://en.wikipedia.org/wiki/3D_projection Google Bibliography: Computer Graphics, C Version ,Second Edition by- Donald D. Hearn, M. Pauline Baker.

18. Conclusion: “Clearly, if wed had the kind of computer graphics capability then that we have now, the Star Gate sequence would be much more complex than flat planes of light and color.” - Douglas Trumbull. https:/ /ww w .youtube.com/watch?v=ebmwYqoUp44&t=125s

19. THANK YOU