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

Steps for clip a line segment-pq, Steps for clip a line segment-PQ ...

Steps for clip a line segment-PQ Initially, find all the points of intersections of the line segment PQ along with the edges of the polygonal window and describe them eith

Constant intensity shading or flat shading, Constant intensity shading OR F...

Constant intensity shading OR Flat shading  In this technique particular intensity is calculated for each polygon surface that is all points that lie upon the surface of the

2d clipping algorithms - clipping and 3d primitives, 2D Clipping Algorithms...

2D Clipping Algorithms Clipping is an operation that eliminates invisible objects from the view window.  To understand clipping, recall that when we take a snapshot of a scene,

Objectives-visible-surface detection, After going through this section, you...

After going through this section, you should be capable to: know the meaning of Visible-surface detection; distinguish among image-space and object-space approach for vi

Important points for key frame systems - computer animation, Important poin...

Important points for Key Frame Systems - Computer Animation In key frame systems the "in-between" "tweening" or frames can be created from the specification of two or more key

Finding where the ball hits a segment, You will write a two-dimensional pre...

You will write a two-dimensional precursor of the three-dimensional bouncing ball simulation that is one of your choices for a ?nal project. This involves adding functions to your

Convert the rgb values for the colours, In computers, colours are created b...

In computers, colours are created by blending different combinations of red, green and blue. These colours are normally specified as three two-digit hexadecimal numbers in html, ph

How avar values generate to get realistic movement, How avar values generat...

How avar values generate to get realistic movement There are numerous ways of generating avar values to get realistic movement. One way is to use markers on a real person (or w

Compare bresenham line generation algorithm with dda, 1. Compare Bresenham...

1. Compare Bresenham line generation with Digital Differential Analyzer line generation. Ans.   Bresenham line generation algorithm is better than Digital Differential Analyze

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