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

What is a dot size and interdot distance, What is a dot size and interdot d...

What is a dot size and interdot distance? Dot size may be explained as the diameter of a single dot on the devices output. Dot size is also known as the Spot size.  Interdo

Anti- aliasing, Anti- aliasing: Most aliasing artifacts, when appear in a ...

Anti- aliasing: Most aliasing artifacts, when appear in a static image at a moderate resolution, are often tolerable, and in many cases, negligible. However, they can have a signi

What is scaling, What is scaling?  The scaling transformations changes...

What is scaling?  The scaling transformations changes the shape of an object and can be carried out by multiplying every vertex (x,y) by scaling factor Sx, Sy where Sx is the

Geometrical examine types of line clipping, Geometrical examine Types of Li...

Geometrical examine Types of Line Clipping Geometrical examine of the above kinds of clipping (it assists to get point of intersection of line PQ along with any edge). Assu

Reflection about a line - 2-d and 3-d transformations, Reflection about a L...

Reflection about a Line - 2-D and 3-D Transformations Reflection is a transformation that produces the mirror image of an object. Since we discussed that the mirror reflection

Basic tests - producing polygon surface, Basic Tests - Producing Polygon Su...

Basic Tests - Producing Polygon Surface A few basic tests that must be performed before producing a polygon surface through any graphic package as: 1) All vertexes are list

Define computer graphics, Define Computer graphics.  Computer graphics ...

Define Computer graphics.  Computer graphics remains one of the most popular and rapidly growing computer fields. Computer graphics may be explained as a pictorial representati

Psychrometric properties - design project, Read the next page and work thro...

Read the next page and work through the steps: a.  Select a location (anywhere in the world) and research the typical weather (temperature, barometric pressure, and humidity).

Produce a complete 3d cad model, 1. Identify the market segment for the pro...

1. Identify the market segment for the product and write a basic PDS 2. Produce three concept sketch ideas - (remember the assignment is a CAD one not a concept creative design

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