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

Cathode ray tube - graphics hardware, Cathode Ray Tube - Graphics Hardware ...

Cathode Ray Tube - Graphics Hardware Cathode Ray Tube: this is a refreshing display device. The idea of a refreshing display is depicted pictorially is given as: In fact

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

Referential links, Referential Links: A third type of link is a referentia...

Referential Links: A third type of link is a referential link. It is associated to the associative link. Quite than representing a relationship among two related ideas, a referent

Input and output devices - computer aided design, Input and Output Devices ...

Input and Output Devices - computer aided design Output and Input devices are quite significant for any software since an unsuitable selection of the concerned hardware may tu

Various ways of simulating motion, Various ways of simulating motion:- ...

Various ways of simulating motion:- -        Zero Acceleration (Constant Speed)           -        Non-Zero Accelerations -        Positive accelerations

Languge, what languge do computers speak

what languge do computers speak

Types of bitmap images, Types of Bitmap Images Bitmap images can includ...

Types of Bitmap Images Bitmap images can include any number of colours but we distinguish among four main categories as: 1)      Line-art: These are images that include

Geographic information systems (gis)-image processing, Geographic Informati...

Geographic Information Systems (GIS): The most generally utilized software is: ArcMap . Characteristics: I.          Works inside a geographic context. II.         Great

View volumes and general projection transformations, View Volumes and Gener...

View Volumes and General Projection Transformations You have to remember that the view volume is the volume which sets up near and far extents, top and bottom extents and left

Sutherland hodgman algorithm, Sutherland-Hodgman Algorithm Any polygon...

Sutherland-Hodgman Algorithm Any polygon of any type of arbitrary shape can be explained with the assist of some set of vertices connected with it. While we try to clip the po

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