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

Target market before doing a design work, Question: (a) Explain the i...

Question: (a) Explain the importance of knowing and understanding your target market before doing a design work. Use example(s) to enhance your answer. (b) Describe the

Introduction of viewing transformations, Introduction of Viewing  Transfor...

Introduction of Viewing  Transformations Projection is fundamentally a transformation or mapping of 3D objects upon 2D screen. Projection is mostly categorised in Para

Rotation - 2-d and 3-d transformations, Rotation - 2-d and 3-d transformati...

Rotation - 2-d and 3-d transformations Given a 2-D point P(x,y), that we want to rotate, along with respect to an arbitrary point A(h,k). Suppose P'(x'y') be the effect of ant

Pixel paint, PIXEL PAINT: The pixel paint file format permits a document t...

PIXEL PAINT: The pixel paint file format permits a document to be opened in the pixel paint and pixel paint professional graphics application. Such format permits you to identify

Animate 3d articulated character - forward kinematic method, In this progra...

In this programming assignment, you will animate and pose 3D articulated characters by implementing forward and inverse kinematic methods. You should be able to animate character j

Applications that can handle bitmap data, Applications that can handle Bitm...

Applications that can handle Bitmap Data Hundreds of applications are there in the market which can be used to modify or make bitmap data. For illustration: Adobe Photo Shop, C

Graphics tablet - cad and cam, Graphics Tablet - CAD and CAM We need ...

Graphics Tablet - CAD and CAM We need to know what we mean via tablet in computer terminology, before going into details on the graphic tablet, since in the other disciplines

Determine the steps uses in cohen sutherland line clipping, Steps uses in t...

Steps uses in the Cohen Sutherland Line Clipping Algorithm are: Figure: Steps for Cohen Sutherland Line Clipping STEP 1: Input:  x L , x R , y T , y B

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