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

Distinguish between window port and view port, Distinguish between window p...

Distinguish between window port & view port?  A portion of a picture that is to be displayed by a window is called as window port. The display area of the part selected or the f

What is scaling, What is scaling?  The scaling transformations changes...

What is scaling?  The scaling transformations changes the shape of an object and can be carried out by multiplying every vertex (x,y) by scaling factor Sx, Sy where Sx is the

Image processing, Image Processing New digital technology has made this...

Image Processing New digital technology has made this possible for the manipulation of multi- dimensional signals along with systems which range from easy digital circuits to

Principle vanishing point - perspective projections, Principle Vanishing po...

Principle Vanishing point - Perspective Projections Assume that line 1 and l2 be two straight lines parallel to each other that are also parallel to x-axis. If the projection

What do you mean by scan conversion, What do you mean by scan conversion?  ...

What do you mean by scan conversion?  A main task of the display processor is digitizing a picture definition given in an application program into a set of pixel-intensity valu

Whether cavalier projection is a parallel projection, State whether the fol...

State whether the following statements are true or false. Give reasons/examples to justify your answer.  a)  Cavalier projection is a parallel projection. b)  Angles are not

Bezier curves - 2d shape primitives, Bezier curves: Theses are special...

Bezier curves: Theses are special polynomial curves expressed using Bernstein polynomials. Spline curves are simple extensions of Bézier curves composed of two or more polynom

Different advertising hooks, Question: (a) Name two visual effects you...

Question: (a) Name two visual effects you would use to communicate: i. Good old days ii. Rebellion iii. Fear (b) Explain each of your answers given in section (a).

Graphic primitives, Graphic Primitives In previous section, we have di...

Graphic Primitives In previous section, we have discussed refreshing display devices and its categories which are Raster and Random Scan display devices. We have also discusse

Transformation, Define transformation. Explain all basic transformation

Define transformation. Explain all basic transformation

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