Perform a x-direction shear transformation, Computer Graphics

Assignment Help:

1. If you perform a x-direction shear transformation and then a y-direction shear transformation, will the result be the same as the one which is obtained when it is simultaneous shear in both the directions?  Justify your answer by appropriate reasoning. 

Answer:No, since an x-axis shear and then a y-axis shear will lead to following matrix. 

2001_Perform a X-Direction Shear Transformation 1.png

while a simultaneous shear in both the directions will be represented by the following matrix.

709_Perform a X-Direction Shear Transformation.png


Related Discussions:- Perform a x-direction shear transformation

Determine how many key frames does one minute animation film, How many key ...

How many key frames does one minute animation film order along with no duplications need if there are five in among for each pair of key frames?   Solution : One minute = 60 sec

Transformation for 3-d shearing, 2-dimensional xy-shearing transformation, ...

2-dimensional xy-shearing transformation, as explained in equation (19), can also be simply extended to 3-dimensional case. All coordinates are translated as a function of displace

Concept for eliminating hidden lines, Concept for Eliminating Hidden Lines,...

Concept for Eliminating Hidden Lines, Surfaces or Edges To exemplify the concept for eliminating hidden-lines, surfaces or edges, see a classic wire frame model of a cube as i

Radiosity - polygon rendering & ray tracing methods, Radiosity - Polygon Re...

Radiosity - Polygon Rendering & Ray Tracing Methods Radiosity simulates the diffuse propagation of light begin at the light sources. Because global illumination is an extremel

3D transformation, what are the steps involved in 3D transformation

what are the steps involved in 3D transformation

Normalization transformation, what is normalization transformation?why is i...

what is normalization transformation?why is it needed and important?give simple example also.

Rotation about z-axis - transformation for 3-d rotation, Rotation about z-a...

Rotation about z-axis - Transformation for 3-d rotation Rotation about z-axis is explained by the xy-plane. Suppose a 3-D point P(x,y,z) be rotated to P'(x',y',z') along with

Reflecting the ball off of a polyline, To reflect the ball off of the polyl...

To reflect the ball off of the polyline, we need to re?ect it off of the segment that had the minimum thit. But the reflection computation depends only on t hit , n, P and v, so th

Beam penetration method and shadow mask method, Beam Penetration Method and...

Beam Penetration Method and Shadow Mask Method Two methods exist for displaying colors in a CRT monitor - beam penetration method and shadow mask method. Beam penetration metho

Numerical analysis packages-image processing, Numerical Analysis Packages: ...

Numerical Analysis Packages: generally utilized software is: MatLab. Characteristics: Focus generally on numeric processing. Programming with mathematical skills usuall

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