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Re-Imaging the Worldthrough Linear AlgebraMalena I. EspanolAssistant Professor of Computational MathematicsVictoria UribePhD Student of Applied MathematicsSchool of Mathematical and Statistical SciencesArizona State Universitymalena.espanol@asu.eduMathematics Sin FronterasMarch10, 17, 24, 2021
The magesMatrices2
The Mathematics of Colors
Primary ColorsBlueRedWhy do we call them that?Yellow
Secondary Colors Blue GreenYellow RedVioletRedBlue YellowOrange
Tertiary ColorsBlueBlueRed RedYellowYellow Violet GreenOrange BlueRedBlueYellow Red Yellow PurpleRed VioletBlue GreenYellow GreenRed OrangeYellow Orange
“Recipe” for the Secondary Colors 1/2RedBlue 1/2GreenYellow RedViolet 1/2Blue1/2 1/2 1/2YellowOrange
Recipe of the Purple Color 1/2Violet 1/2BluePurple
Recipe of the Purple Color 1/2Blue 1/2Blue 1/2PurpleBlueViolet(VioletRed1/21/2 1/2) 1/2Red 1/2BluePurple
Recipe of the Purple Color1/2( 1/2BlueBlue Red BluePurpleBlue1/4Blue3/4 1/2Red 3/4PurpleBlue 1/4 1/2Red 1/4) 1/2Purple 1/4Red 0YellowPurple
Recipes of the Tertiary Colors3/4Blue1/4Blue Blue Blue 3/4Blue1/4Blue001/4Red3/4Red Red Red ellow3/4Yellow PurpleRed VioletBlue GreenYellow GreenRed OrangeYellow Orange
Color WheelRueda de R.J.B.Mérimée, 1830*Color wheel - Wikipedia
Primary Colors of the LightRedGreenRGBBlueThey are used in the computer screens, TVs, and movie screensRGB color model - Wikipedia
Creating colors with RGB 1/2RedRed 1/2Yellow ? 0Blue ?Green BlueVioletViolet
Creating colors with RGB 1/2RedRedBlue 0Green 1/2Yellow 1/2 0 1/2BlueVioletViolet
Creating colors with RGB 1/2 1/4RedYellowRedBlue ? ? 1/4Green BlueBrownBrown
Creating colors with RGB 1/2RedRedBlue 1/2Green 1/4Yellow 1/2 1/4 0BlueBrownBrown
Creating colors in the Computer aRed ? cbGreenBluea, b, c are numbersthat can only use1 byte 8 bits
Creating colors in the Computer aRed ? cbGreenBluea, b, c are integer numbers from 0 to 255 0 00RedGreenRedGreenBlackBlue 255 255255 BlueWhite
Creating colors in the Computer 90RedGreen 150Green 250RedBlue 00Red 0Green Blue 0Red200 00Blue 0Green 0Blue
How many colors are in a computer?256 x 256 x 256 16.777.216
Points in the Plane and Vectors
Coordinate Systems1/2Red1/2Red 1/4 1/2YellowGreen 1/4 0BlueBlue BrownBrown
Vector Operations
Properties of Vectors
Linear CombinationBrown 1/2Red 1/4Yellow 1/4Blue
Linear Combination of Images
Linear Combination of EigenfacesThis is used to identify faces.
Inner Product
Norms y Distances
Digital ImagesRed 230Green 90Blue 0
Digital ImagesRed 2020202020202020202022 21 21 33 30 30 29 2022 21 33 33 33 33 33 2921 33 33 33 33 33 33 33Red 2302020202020Green 23222222222222212423232322212133 0202933 e20202020202933332020202020202933
Matrices
Sum of Matrices
Product by a escalar
Linear Combination of Images
Re-Imaging the World through Linear Algebra Malena I. Espanol. Assistant Professor of Computational Mathematics. Victoria Uribe. PhD Student of Applied Mathematics
