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 uniform scaling and differential scaling, Distinguish b...

Distinguish between uniform scaling and differential scaling?  When the scaling factors sx and sy are assigned to the similar value, a uniform scaling is produced that maintain

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

Transformation, Define transformation. Explain all basic transformation

Define transformation. Explain all basic transformation

Clipping and 3d primitives, Clipping and 3D Primitives This unit introd...

Clipping and 3D Primitives This unit introduces you to three important concepts of Computer Graphics. After that discusses the concept of clipping, which means removal of objec

Prepare a cylinder, Question: (a) Write a short note on the dot syntax...

Question: (a) Write a short note on the dot syntax as used in actionScript. (b) A data type describes the kind of information a variable or ActionScript element can hold.

Udp datagram communication and tcp stream communication, Question: a) D...

Question: a) Datagram packet delivery and Virtual circuit packet delivery are two approaches to the delivery of packets by the network layer. Explain. b) What is the meaning

Phong model or phong specular reflection model, Phong Model or Phong Specul...

Phong Model or Phong Specular Reflection Model It is an empirical model that is not based on physics, although physical observation. Phong observed here for extremely shiny su

Explain advantages of rendering polygons by scan line method, What are the ...

What are the advantages of rendering polygons by scan line method?  i. The max and min values of the scan were simply found.  ii. The intersection of scan lines with edges i

Exceptional cases - orthographic projection, Exceptional cases - Orthograph...

Exceptional cases - Orthographic Projection 1)   We have an Orthographic projection, if f=0, then cot (β) =0 that is β=90 0 . 2)   β =cot-1 (1)=450 and this Oblique projec

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