Two-dimensional geometric transformations, Computer Graphics

Assignment Help:

Two-Dimensional Geometric Transformations

 When a real life object is modelled using shape primitives, there are several possible applications.  You may be required to do further processing with the objects.  For example, suppose you have created a chair model.  You may then like to view it from different angles, or you may like to create another chair model with a slight variation in its shape or size.  Similarly, you may want to show an object moving from one position to another along a path, or rotate it about a given pivot point.  All this can be achieved by using simple mathematical transformations called affine transformations.  Since these transformations help change the geometry of the object in terms of shape, size or position, we call them geometric transformations.  Present section deals with two-dimensional (2D) geometric transformations.  2D geometric transformations can be broadly classifies as - (i) Rigid body transformations (ii) Non-rigid body transformations.  Rigid body transformations do not change the object dimensions, while non-rigid body transformations modify the dimensions of the object.  For example, when you resize a rectangle, the transformation is non-rigid body, but when you rotate an object its shape or size does not change, hence it is rigid body transformation.


Related Discussions:- Two-dimensional geometric transformations

Positioning Techniques, Explain Positioning Techniques in computer Graphics...

Explain Positioning Techniques in computer Graphics in detail

Liang barsky line clipping algorithm, Liang Barsky line clipping algorithm ...

Liang Barsky line clipping algorithm : The algorithm uses parametric form of the line segment.  Four inequalities are created using the parametric form of the line segments.  Th

2-d and 3-d transformations, 2-D and 3-D Transformations Previously, w...

2-D and 3-D Transformations Previously, we have presented approaches for the generation of polygonal regions and lines. We identified that once the objects are produced, the v

Character generation - output primitives, Character Generation You know...

Character Generation You know that graphics displays often contain components which are text based.  For example graph labels, annotations, descriptions on data flow diagrams,

Z- buffer algorithm, Q.   Describe the z- Buffer algorithm for hidden surfa...

Q.   Describe the z- Buffer algorithm for hidden surface removal. Ans. Z- buffer method: This method compares surface depths at each pixel position on the projection plane. T

Transformation for 3-d scaling, As we already seen that the scaling proces...

As we already seen that the scaling process is mainly utilized to change the size of an object. The scale factors find out whether the scaling is a magnification as s>1 or a red

Video games, why do video game characters look better today?

why do video game characters look better today?

Design and label the pattern of the folding carton, Question : You have...

Question : You have been approached to design a ‘tuck top auto-lock bottom' carton package for a high-end cosmetic jar under the brand name ‘Beauty One'. Your client asked you

What do you mean by perspective projection, What do you mean by Perspective...

What do you mean by Perspective projection?  Perspective projection is one in which the lines of projection are not parallel. Instead, they all converge at a single point known

Computer aided design and computer aided manufacturing, The development of ...

The development of CAD had little consequence on CNC initially because of the various abilities and file formats used through drawing and machining programs. Conversely, as Compute

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