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

Pitfalls in computer simulation - computer aided design, Pitfalls in comput...

Pitfalls in computer simulation Though generally avoided in computer simulations, in strict logic the rules governing floating point arithmetic even apply. For illustration, t

Reflection and types of reflection, Reflection and Types of Reflection ...

Reflection and Types of Reflection Reflection and its types:   Reflection: this is the phenomenon of bouncing back of light; such phenomenon obeys laws of Reflec

Space exploration-applications for computer animation, Space Exploration: ...

Space Exploration: now, the farthest point far away from earth which the human was on the moon, although we continually want to learn more. A trip by a human to the other planet w

Design a game using graphical user interface, BlackJack is a popular card g...

BlackJack is a popular card game played in many casinos. The player plays against the dealer aiming to reach 21 points, or a score higher than the dealer without exceeding 21. The

Serial line db9 connector, Main Objectives of this connector is to allow fu...

Main Objectives of this connector is to allow full duplex communication between peripherals that uses such connector such PIC Demo board, ICD2 Debugger etc. The RS32 connector pin

Types of animation systems - computer animation, Types of Animation Systems...

Types of Animation Systems - Computer Animation We have discussed above about the sequencing of animation is helpful in developing any animation. Such sequencing is more or le

Estimate general light such as bouncing around scene, identify a sphere alo...

identify a sphere along with a light source above it; hence its lower half will not be illuminated. In practice in a actual scene this lower half would be partially illuminated thr

Explain parallel and perspective projection, Distinguish between parallel a...

Distinguish between parallel and perspective projection Parallel Projection Perspective projection Coordinate position are transformed

Light sources - polygon rendering and ray tracing methods, Light Sources - ...

Light Sources - polygon rendering and ray tracing methods Light Sources are key parts in any ray traced scene, since without them; there would be no rays to trace. Light sour

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