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

Dda, differentiate between dda and bresenhams line algorithm

differentiate between dda and bresenhams line algorithm

Functions of hand-held pointer and tablet, The hand-held pointer and tablet...

The hand-held pointer and tablet in the form of a stylus i.e. pen or puck can function one or more of these three functions: (i)  For choosing positions on a drawing or on a men

Categories of orthographic projection, Categories of Orthographic Projectio...

Categories of Orthographic Projection Orthographic projection is additionally divided into Multi-view projection and axonometric projection, depending upon where the direction

Advantages of bresenham’s line drawing algorithm, What are the advantages o...

What are the advantages of Bresenham's line drawing algorithm over DDA line drawing algorithm? DDA and Bresenham algorithms both are efficient line drawing algorithm. Breaenham

Polygonalization of the surface, Remember in polygonalization of the surfac...

Remember in polygonalization of the surface, following rules must be followed. Any two polygons  (i)  share a common edge,   (ii)  Share a common vertext,  (iii)  Arc disj

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).

What is the purpose behind the staircase effect, 1. What is the purpose be...

1. What is the purpose behind the Staircase effect? Ans. The approximation concerned in the calculation for finding of pixel position concerned in the display of lines and th

Describe fully the term preflight, Question: Adobe InDesign software ...

Question: Adobe InDesign software is used to create works such as posters, flyers, brochures, magazines and books. Designers and graphics production artists are the principa

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