Transformation for 3-d shearing, Computer Graphics

Assignment Help:

Transformation for 3-D Shearing

2-dimensional xy-shearing transformation, as explained in equation, can also be simply extended to 3-dimensional case. All coordinates are translated as a function of displacements of another two coordinates, which is,

Shxyz=      x'=x+a.y+b.z

                 y'=y+c.x+d.z                      

                 z'=z+e.x+f.y

Here a,b,c,d,e and f are the shearing factors in the respective directions. Equation (46) in terms of homogeneous HC system, is:

575_Transformation for 3-D Shearing.png

That is, P'h = Ph.Shxyz

Here remember that the off-diagonal terms in the upper left 3x3 sub-matrix of the generalized 4x4 transformation matrix in equation produce shear in 3-dimensions.


Related Discussions:- Transformation for 3-d shearing

Vecgen algorithm, explain vecgen line drawing algorithm

explain vecgen line drawing algorithm

Scan conversion, State the purpose of scan conversion , along with the side...

State the purpose of scan conversion , along with the side effects

Light pen - input and output devices, Light Pen - input and output devices ...

Light Pen - input and output devices It is a pointing device. This has a light sensitive tip that is excited while the light is emitted and an illuminated point upon the disp

Determine the term- virtual reality, Determine the term- Virtual Reality ...

Determine the term- Virtual Reality Virtual Reality (VR) This is an artificial 3D environment which is created by a computer system. Very often user wears data helmet, d

Illustrate the advantages of using virtual reality, Illustrate the Advantag...

Illustrate the Advantages of using virtual reality - it's safer (As techniques can be tried out in advance without the dangers of real operation for example maintaining a nucle

X-shear regarding the origin - 2-d and 3-d transformations, X-shear Regardi...

X-shear Regarding the Origin - 2-d and 3-d transformations Suppose an object point P(x,y) be moved to P'(x',y') in the x-direction, via the given scale parameter 'a',that is,

What do you understand by the term image compositing, Question 1: (a) E...

Question 1: (a) Explain in detail what you understand by the term image compositing and where it is more often used? (b) You are given 3-5 images to make a photo montage/ima

What is the minimum amount of video ram, Consider a raster system with the ...

Consider a raster system with the resolution of 1024 x 768 pixels and the color palette calls for 65,536 colors. What is the minimum amount of video RAM that the computer must have

What will be the resulting rotation matrix, An object has to be rotated abo...

An object has to be rotated about an axis passing through the points (1,0 ,1), (1,3,1) .  What will be the resulting rotation matrix?    Solution: The axis is parallel to y axis

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd