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

State the technology used in lcd, State the technology used in LCD Some...

State the technology used in LCD Some passive matrix (Pixels are illuminated in scanline order like a raster display but  the lack of phospherescence causes flicker) LCDs have

Polygon or area clipping algorithm, Polygon or Area Clipping Algorithm - Su...

Polygon or Area Clipping Algorithm - Sutherland-Hodgman Algorithm There are different algorithms as Liang-Barsky, Line clipping, Weiler-Atherton Polygon Clipping,

3-dimentional, expalin 3-dimentional display methods

expalin 3-dimentional display methods

Calculate the gray level value for all the pixels, An 8x8 image f[i,j] has ...

An 8x8 image f[i,j] has gray levels given by the following equation: f [i , j]= ? i-j ? ; i,j=0,1,2,3,4,5,6,7. a. Calculate the gray level value for all the pixels in the 8x8

B-spline curves - uniform b-splines and de boor algorithm, B-spline curves ...

B-spline curves are piecewise smooth polynomial curves.  B-spline curves are defined over an interval which has been partitioned into sub-intervals. On each subinterval B-sp

Overstriking, why overstriking is harmful.justify

why overstriking is harmful.justify

Raster and random scan display technologies, Raster and Random Scan Display...

Raster and Random Scan Display Technologies For display or printing graphics objects, various technologies have been invented. Research and development is still on for getting

Write a note on mpeg-2, Question 1 Write a note on digitizers Quest...

Question 1 Write a note on digitizers Question 2 Discuss on line drawing algorithm Question 3 Explain 3D viewing Question 4 Explain different types of cohe

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