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

Problem with interpolated shading - polygon rendering, Problem with Interpo...

Problem with Interpolated Shading There are several more shading models that intermediate in complication among Gouraud and Phong shading, linking the liner interpolation of t

Achieve a perspective projection on the plane of unit cube, Achieve a persp...

Achieve a perspective projection on the z = 0 plane of the unit cube, demonstrated in Figure (l) from the cop at E (0, 0, 10) upon the z-axis. Figure: I 01:  currently c

Essential elements for the raster scan display, Essential Elements for the ...

Essential Elements for the Raster Scan Display Three elements are essential for the raster scan display. They are as: 1) The Frame Buffer that is also termed as the Refresh

Procedural animation - computer animation, Procedural Animation - Computer ...

Procedural Animation - Computer Animation This category of animation is utilized to produce real time animation that permits a more diverse series of actions to occur. These a

Frame, what is frame buffer

what is frame buffer

Animation, name some of the standard motion in key frames

name some of the standard motion in key frames

Polygon clipping algorithm, Write a polygon clipping algorithm to clip a po...

Write a polygon clipping algorithm to clip a polygon against rectangular clipping are. Read the vertices of polygon to be clipped. 2. Read the coordinates of the rectangular cl

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