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

Low level techniques (motion specific), Low level techniques (motion specif...

Low level techniques (motion specific) Techniques utilized to fully control the motion of any graphic object in any type of animation scene, these techniques are also considere

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

Define polygon, Define polygon?  A polygon is any closed continues sequ...

Define polygon?  A polygon is any closed continues sequence of line segments i.e., a polyline whose last node point is similar as that of its first node point. The line segment

Important notes for negative accelerations, Important Notes for Negative Ac...

Important Notes for Negative Accelerations Note : Having projections of points on curve, above Y axis we will obtain a pattern similar to figure 8 that is needed to produce ne

Ray tracing algorithm, Ray Tracing:  Ray t racing is the technique to dete...

Ray Tracing:  Ray t racing is the technique to determine which objects in the scene are visible.  In this to identify the visible surface for each pixel we continue to bounce the

Scan conversion, what are the advertising effects of scan conversion

what are the advertising effects of scan conversion

List of 3-d animation software, List of 3-D Animation Software Here is ...

List of 3-D Animation Software Here is a short list of several 3-D animation software are - Softimage ( Microsoft) -  Alias/Wavefront ( SGI) -  3D studia MAX (Autodesk

What is computer graphics?, What Is Computer Graphics? The term Graphi...

What Is Computer Graphics? The term Graphics mean is Graphical Tricks. All image or picture is actually a graph and when various mathematical tricks are utilized to manipulate

Scan line polygon fill and seed fill or flood fill algorithm, 1.   Distingu...

1.   Distinguish among Scan line polygon fill and Seed fill or Flood fill algorithm? Scan Line Polygon Flood Fill Algorithms ?1. This

Important points about the diffuse reflection, Important Points About the D...

Important Points About the Diffuse Reflection An extremely rough surface appears uniformly bright from each viewing direction Q the intensity of reflected light is identical i

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