perform a perspective projection on the plane, Computer Graphics

Assignment Help:

Consider at line segment AB in the Figure k, parallel to the z-axis along with end points A (3, 2, 4) and B (3, 2, 8). Perform a perspective projection on the z = 0 plane from the center of projection at E (0, 0, - 2). Also determine vanishing point.

1121_Perform a perspective projection on the plane.png

Figure: (k)

Solution. We know about the Equation (1) shows the center of particular point perspective transformation: of a point P (x, y, z) on z = 0 plane; where (0, 0, - d) is center of projection provided by:

2082_Perform a perspective projection on the plane 1.png

P'_n = P_n. P_per,z ------------------------(I)

Frequently the perspective transformation of provided line AB to A* B* along with d = 2 are as:

V'_n = V_n. P_per,z

1138_Perform a perspective projection on the plane 2.png

Thus, the projected points of a provided line AB are:

A* = (1, 0.667, 0) B* = (0.6, 0.4, 0)

The vanishing point is given as (0, 0, 0).

Related Discussions:- perform a perspective projection on the plane

Create an animated application, The purpose of this assignment is for you t...

The purpose of this assignment is for you to create an animation like you would see on an electronic greeting card. Have fun and be creative. Here are the requirements: you

Interrupts - event driven devices, Interrupts - Event driven devices ...

Interrupts - Event driven devices Interrupts: An option to polling is the interrupt feature. The device sends an interrupt signal to the processor while an event happens. T

Determine the advantages of raster-scan systems, Determine the advantages o...

Determine the advantages of raster-scan systems (i) Rasterisation is now performed faster since a special purpose processor is used. (ii) The CPU is not slowed down by the

Xy-shear about the origin - 2-d and 3-d transformations, xy-Shear about the...

xy-Shear about the Origin - 2-d and 3-d transformations Suppose an object point P(x,y) be moved to P'(x',y') as a outcome of shear transformation in both x- and y-directions a

DDA, limitationsof dda

limitationsof dda

perform a perspective projection on the plane, Consider at line segment AB...

Consider at line segment AB in the Figure k, parallel to the z-axis along with end points A (3, 2, 4) and B (3, 2, 8). Perform a perspective projection on the z = 0 plane from the

Important points about the frame buffers - graphics hardware, Important Poi...

Important Points about the Frame Buffers 1) Within a frame buffer, information storage starts from top left corner and goes until the bottom right corner. 2) By using this

Military-applications for computer animation, Military: In order to enter ...

Military: In order to enter the military, one has to go by various training. Depending upon whether you want to be in the army, navy or the marines, you may be working along with

Vector graphics, Vector Graphics: These are images which may be entirely d...

Vector Graphics: These are images which may be entirely described by using mathematical definitions. The image below demonstrates the principle. To the left you notice the image i

Modify the dda algorithm for negative sloped lines, 1. Modify the DDA algo...

1. Modify the DDA algorithm for negative sloped lines; discuss both the cases i.e., slope > 1 and 0 Ans. For the generation of lines along with negative slopes as:

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages