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

Types of polygon tables curves and surfaces, Types of Polygon tables curves...

Types of Polygon tables curves and surfaces Attribute tables: This table has object information as transparency, surface reflexivity, texture features of an object in the vi

Image space -approaches for visible surface determination, Image Space Appr...

Image Space Approach -Approaches for visible surface determination The initial approach as image-space, determines that of n objects in the scene is visible at every pixel in

3-dimentional, expalin 3-dimentional display methods

expalin 3-dimentional display methods

Classic applications of digital video, The table as given below demonstrate...

The table as given below demonstrates possible values of such parameters for classic applications of digital video. Application                  Frame rate                  Dime

Line segment that joining by using bresenham line algorithm, Sketch Line Se...

Sketch Line Segment That Joining By Using Bresenham Line Algorithm Example: Sketch line segment that joining (20, 10) and (25, 14) by using Bresenham line generation algorit

Other file formats and bmp-dib-rle file formats, Other File Formats BM...

Other File Formats BMP/DIB/RLE File Formats These are termed as device independent bitmap files. They exist in two various type formats: a) OS2 format and b) Windows

Scan conversion, what are the advertising effects of scan conversion

what are the advertising effects of scan conversion

What are the features of inkjet printers, What are the features of Inkjet p...

What are the features of Inkjet printers?  They can print 2 to 4 pages/minutes. Resolution is about 360d.p.i. Thus better print quality is achieved. The operating

B splines, What is uniform rational splines

What is uniform rational splines

Architecture-applications for computer animation, Architecture: One of the...

Architecture: One of the purposes for the development of virtual reality (that is in fact a form of computer animation) was which it was going to be very helpful to architects. He

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