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

Rotation - 2-d and 3-d transformations, Rotation - 2-d and 3-d transformati...

Rotation - 2-d and 3-d transformations Given a 2-D point P(x,y), that we want to rotate, along with respect to an arbitrary point A(h,k). Suppose P'(x'y') be the effect of ant

Types of light resources - illumination model, Types of Light Resources - i...

Types of Light Resources - illumination Model Let us discuss about the types of light resources. The light sources can not merely be natural like light from Sun or Moon or Sta

Vector graphics, Vector Graphics: These are images which may be entirely d...

Vector Graphics: These are images which may be entirely described by using mathematical definitions. The image below demonstrates the principle. To the left you notice the image i

Construction of an isometric projection - transformation, Construction of a...

Construction of an Isometric Projection - Transformation In this projection, the direction of projection i.e. d = (d 1 ,d 2 ,d 3 ) makes an identical angles with all the 3-pr

Computer science, what do you means by bresenham s him algorithm

what do you means by bresenham s him algorithm

Bitmap graphics, Bitmap Graphics: The information below illustrates bitmap...

Bitmap Graphics: The information below illustrates bitmap data. Bitmap images are a set of bits that form an image. The image comprises a matrix of individual dots or pixels wh

Flat panel, help me discuss about flat panel with respect to emissive and n...

help me discuss about flat panel with respect to emissive and non emissive display

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

Sub classes of orthographic projection, Sub Classes of Orthographic Project...

Sub Classes of Orthographic Projection There are three ordinary sub-classes of Orthographic (axonometric) projections as: 1) Isometric: The direction of projection makes

Animation, Animation, Video and Digital Movies : These are sequences of bi...

Animation, Video and Digital Movies : These are sequences of bitmapped graphic scenes or frames, quickly played back. But animations can also be made inside the authoring system t

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