BPC: Art and Computation – Summer 2008BPC: Art and Computation – Summer 2008

Selected curriculum elementsSelected curriculum elements

Erik Brisson

ebrisson@bu.edu

BPC: Art and Computation – Summer 2008 2

The thread throughoutThe thread throughout

BPC: Art and Computation – Summer 2008 3

Digital Media in VRDigital Media in VR

Practical skillUse in course– Texture map in VR world

Connections– Familiar concept (photograph)– Computer rep (digital image)–Mathematical object (2D array)

BPC: Art and Computation – Summer 2008 4

What is a digital image?What is a digital image?

BPC: Art and Computation – Summer 2008 5

What is a digital image?What is a digital image?

BPC: Art and Computation – Summer 2008 6

What is a digital image?What is a digital image?

BPC: Art and Computation – Summer 2008 7

What is a digital image?What is a digital image?

P31136 852255191 214 206 113 134 135 101 120 135 102 119 147 113 129 165117 131 170 125 138 170 158 168 195 219 227 246 244 251 255249 254 255 197 202 222 157 163 187 156 161 190 165 172 200218 224 246 250 255 255 252 255 251 251 255 252 245 249 250251 255 255 188 192 204 196 200 212 234 238 250 177 181 192111 114 133 122 121 155 154 151 194 182 176 220 243 240 255253 252 255 250 251 246 254 254 252 255 255 255 255 255 255254 254 254 255 255 255 255 255 255 254 254 254 255 255 255249 249 249 249 249 249 252 252 252 255 255 255 255 255 255255 255 255 254 254 254 255 255 255 255 255 255 255 255 255255 255 255 255 255 255 255 255 255 255 255 255 255 255 255255 255 255 255 255 255 255 255 255 253 253 253 252 252 252252 252 252 253 253 253 255 255 255 255 255 255 255 255 255…

BPC: Art and Computation – Summer 2008 8

Texture mapTexture map

++

BPC: Art and Computation – Summer 2008 9

Concepts of Computer GraphicsConcepts of Computer Graphics

Practical skillUse in course– Display the VR world

Concepts–Modeling and simulation of physical

and geometric phenomena– Data structures representing models– Lighting, rendering, surfaces, etc

BPC: Art and Computation – Fall 2006 10

Human view of physical worldHuman view of physical world

BPC: Art and Computation – Fall 2006 11

Computer graphics paradigmComputer graphics paradigm

BPC: Art and Computation – Summer 2008 12

C.G. concept - texture mapC.G. concept - texture map

BPC: Art and Computation – Summer 2008 13

AnimationAnimation

Practical skillUse in course– Object motion in VR world

Concept– Discrete approximation of continuous

functions

BPC: Art and Computation – Summer 2008 14

History – Zoetrope (~ 1834)History – Zoetrope (~ 1834)

BPC: Art and Computation – Summer 2008 15

2D Animation into VE2D Animation into VE

BPC: Art and Computation – Summer 2008 16

3D motion as animation - models3D motion as animation - models

BPC: Art and Computation – Summer 2008 17

Building a VR worldBuilding a VR world

Practical skillUse in course– Layout a VR world

Connections– 2D visual rep (landscape plan)–Mathematical rep (poly’s in Cart plane)– Computer rep (description file)– 3D visual rep (comp graph display)

BPC: Art and Computation – Summer 2008 18

Landscape PlansLandscape Plans

Used without permission from: http://www.medwaycoopbank.com/main/color_landscape_plan.jpg

BPC: Art and Computation – Summer 2008 19

Landscape PlansLandscape Plans

Used without permission from: http://www.smartdraw.com/examples/preview/index.aspx?example=Residential_-_10

BPC: Art and Computation – Summer 2008 20

World as set of simple objectsWorld as set of simple objects

BPC: Art and Computation – Summer 2008 21

Grid on ground planeGrid on ground plane

BPC: Art and Computation – Summer 2008 22

Top-down viewTop-down view

BPC: Art and Computation – Summer 2008 23

Plan drawing – on graph paperPlan drawing – on graph paper

BPC: Art and Computation – Summer 2008 24

Specifying horizontal quadrilateralsSpecifying horizontal quadrilaterals

Horizontal squareHorizontal square(x0,y0) = (2,2)(x0,y0) = (2,2)(x1,y1) = (4,2)(x1,y1) = (4,2)(x2,y2) = (4,4)(x2,y2) = (4,4)(x3,y3) = (2,4)(x3,y3) = (2,4)

On ground (height h = 0)On ground (height h = 0)

hquad,hquad, x0, y0, x1, y1,x0, y0, x1, y1,x2, y2, x3, y3, hx2, y2, x3, y3, h

hquad, 2, 2, 4, 2, 4, 4, 2, 4, 0hquad, 2, 2, 4, 2, 4, 4, 2, 4, 0

BPC: Art and Computation – Summer 2008 25

The description fileThe description file

hquad, 2, 2, 4, 2, 4, 4, 2, 4, 0hquad, 2, 2, 4, 2, 4, 4, 2, 4, 0vrect, 2, 5, 4, 5, 2vrect, 2, 5, 4, 5, 2vrect, 4, 5, 4, 7, 2vrect, 4, 5, 4, 7, 2vrect, 4, 7, 2, 7, 2vrect, 4, 7, 2, 7, 2vrect, 2, 7, 2, 5, 2vrect, 2, 7, 2, 5, 2vcyl, 0, 2, 0.5, 3vcyl, 0, 2, 0.5, 3vcone, 2, -5, 1, 2vcone, 2, -5, 1, 2vrect, -1.5, -3, 0, -3, 2vrect, -1.5, -3, 0, -3, 2vrect, 0, -3, 2, -1, 2vrect, 0, -3, 2, -1, 2vrect, 2, -1, 0.5, -1, 2vrect, 2, -1, 0.5, -1, 2vrect, 0.5, -1, -1.5, -3, 2vrect, 0.5, -1, -1.5, -3, 2hquad, 2, -5, 4, -3, 2, -1, 0, -3, 2hquad, 2, -5, 4, -3, 2, -1, 0, -3, 2

BPC: Art and Computation – Summer 2008 26

Project workflowProject workflow

hquad, 2, 2, 4, 2, 4, 4, 2, 4, 0hquad, 2, 2, 4, 2, 4, 4, 2, 4, 0vrect, 2, 5, 4, 5, 2vrect, 2, 5, 4, 5, 2vrect, 4, 5, 4, 7, 2vrect, 4, 5, 4, 7, 2vrect, 4, 7, 2, 7, 2vrect, 4, 7, 2, 7, 2vrect, 2, 7, 2, 5, 2vrect, 2, 7, 2, 5, 2vcyl, 0, 2, 0.5, 3vcyl, 0, 2, 0.5, 3vcone, 2, -5, 1, 2vcone, 2, -5, 1, 2vrect, -1.5, -3, 0, -3, 2vrect, -1.5, -3, 0, -3, 2vrect, 0, -3, 2, -1, 2vrect, 0, -3, 2, -1, 2vrect, 2, -1, 0.5, -1, 2vrect, 2, -1, 0.5, -1, 2vrect, 0.5, -1, -1.5, -3, 2vrect, 0.5, -1, -1.5, -3, 2hquad, 2, -5, 4, -3, 2, -1, 0, -3, 2hquad, 2, -5, 4, -3, 2, -1, 0, -3, 2