Computer graphics and linear algebra
This presentation is the property of its rightful owner.
Sponsored Links
1 / 10

COMPUTER GRAPHICS AND LINEAR ALGEBRA PowerPoint PPT Presentation


  • 55 Views
  • Uploaded on
  • Presentation posted in: General

COMPUTER GRAPHICS AND LINEAR ALGEBRA. AN INTRODUCTION. 1. Representing image on computer. Points on Screen == Co -ordinate vectors. Example {0, 0}, {1, 1}, {2, 2}, {3, 3}, , {4, 2}, {5, 1}, {6, 0}. Picture with points joined together. 1. Moving the images. Moving a point

Download Presentation

COMPUTER GRAPHICS AND LINEAR ALGEBRA

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

Presentation Transcript


Computer graphics and linear algebra

COMPUTER GRAPHICS AND LINEAR ALGEBRA

AN INTRODUCTION


1 representing image on computer

1. Representing image on computer

Points on Screen

== Co-ordinate vectors


Example 0 0 1 1 2 2 3 3 4 2 5 1 6 0

Example{0, 0}, {1, 1}, {2, 2}, {3, 3}, , {4, 2}, {5, 1}, {6, 0}


Picture with points joined together

Picture with points joined together


1 moving the images

1. Moving the images

Moving a point

== Transforming Co-ordinate vector

== Multiplication by matrices


Transformation of co ordinate vectors

Transformation of co-ordinate vectors

  • Original: {0, 0}, {1, 1}, {2, 2}, {3, 3}, , {4, 2}, {5, 1}, {6, 0}

  • Multiply each x-co-ordinate by 2, keeping y the same

  • New: {0, 0}, {2, 1}, {4, 2}, {6, 3}, {8, 2}, {10, 1}, {12, 0}


Co ordinate vector transformation as matrix multiplication

Co-ordinate vector transformation as Matrix multiplication


Image of transformed vectors 0 0 2 1 4 2 6 3 8 2 10 1 12 0

Image of transformed vectors{0, 0}, {2, 1}, {4, 2}, {6, 3}, {8, 2}, {10, 1}, {12, 0}


The two images in same picture blue original red new

The two images in same picture(blue: original, red: new)


Going from lines and points to moving images

Going from lines and points to moving images

  • POLYGONAL MESH

  • MOTION CAPTURE


  • Login