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गुरुवार, 16 अप्रैल 2020

BCA 4th Sem Notes-Geometrical Transformation

  • UNIT-I 
~The Advantages of Interactive Graphics
~Representative Uses of Computer Graphics 
~Classification of Application Development of Hardware and software for computer Graphics
~Overview, Scan:
~Converting Lines
~Scan Converting Circles
~Scan Converting Ellipses




  • UNIT-II 
  • ~Hardcopy Technologies
    ~Display Technologies
    ~Raster-Scan Display System
    ~Video Controller
    ~Random-Scan Display processor
    ~Input Devices for Operator Interaction
    ~Image Scanners
    ~Working exposure on graphics tools like Dream Weaver, 3D Effects etc
    ~Clipping
    ~Southland- Cohen Algorithm
    ~Cyrus-Beck Algorithm
    ~Midpoint Subdivision Algorithm




  • UNIT-III 
  • ~Geometrical Transformation
    ~2D Transformation
    ~Homogeneous Coordinates and Matrix Representation of 2DTransformations 
    ~composition of 2D Transformations
    ~The Window-to-Viewport
    Transformations



  • UNIT-V                           

  • ~Multimedia Definition
    ~CD-ROM and the multimedia highway
    ~Computer Animation
    (Design, types of animation, using different functions)



  • UNIT-VI  

  • ~Uses of Multimedia
    ~Introduction to making multimedia –
    ~The stage of Project
    ~hardware & software requirements to make good multimedia skills
    ~Training opportunities in Multimedia Motivation for Multimedia usage

    Geometrical Transformation

    Transformations are a fundamental part of computer graphics. In order to manipulate object
    in two dimensional space, we must apply various transformation functions to object. This
    allows us to change the position, size, and orientation of the objects. Transformations are
    used to position objects, to shape objects, to change viewing positions, and even to
    change how something is viewed

    There are two complementary points of view for describing object movement. The first

    is that the object itself is moved relative to a stationary coordinate system or background

    The second point of view holds that the object is held stationary while the coordinate system is moved relative to the object. This effect is attained through the application of coordinate transformations.


    We can also keep the automobile fixed while moving the backdrop fixed (a geometric transformation). We can also keep the automobile fixed while moving the backdrop scenery (a coordinate transformation)


    Geometric Transformations

    An object in the plane is represented as a set of points (vertices). Let us impose a
    coordinate system on a plane. An object Obj in the plane can be considered as a set of
    points. Every object point P has coordinates (x, y), and so the object is the sum total of
    all its coordinate points. If the object is moved to a new position, it can be regarded as a
    new object Obj', all of whose coordinate point P’ can be obtained from the original

    points P by the application of a geometric transformation.



    Points in 2-dimensional space will be represented as column vectors:
    We are interested in three types of transformation:
    • Translation
    • Scaling
    • Rotation
    •Reflection



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