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

Fixed point scaling, what is fixed point scaling? how composit transformati...

what is fixed point scaling? how composit transformation techniques works on it

Determine the perspective transformation matrix, Determine the perspective ...

Determine the perspective transformation matrix upon to z = 5 plane, when the center of projection is at origin. Solution. As z = 5 is parallel to z = 0 plane, the normal is s

Parametric continuity conditions , Parametric Continuity Conditions   To e...

Parametric Continuity Conditions   To ensure a smooth transitions from one section of a piecewise parametric curve to the next, we can impose various continuity conditions at the

Properties of perspective projections - transformation, Properties of Persp...

Properties of Perspective projections - Transformation 1) Faraway objects seem smaller. 2) Straight lines are projected to straight lines. 3) Let line 1 and 2 is two s

Drawing program with object- oriented design, For this assignment, you will...

For this assignment, you will add to the drawing program new features that are similar to features that you already have. Apply object-oriented design concepts such as inheritance

Depth-buffer (or z-buffer) method , Depth-buffer (or z-buffer) Method ...

Depth-buffer (or z-buffer) Method  Z-buffer method is a fast and easy technique for specifying visible-surfaces. Z-buffer method is also termed to as the z-buffer method, as

Scan line polygon fill algorithm - raster graphics, Scan Line Polygon Fill ...

Scan Line Polygon Fill Algorithm - Raster Graphics In such algorithm, the information for a solid body is stored in the frame buffer and utilizing that information each pixel

Line drawing algorithm, when dda line drawing algorithm is more efficient t...

when dda line drawing algorithm is more efficient than bresenhem line drawing algorithm?

Assumption for digital differential analyzer algorithm, Assumption regardin...

Assumption regarding to the Digital Differential Analyzer Algorithm The line generation by DDA is discussed merely for the first Quadrant, whether the line lies in the other q

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