Page 1 Graphics as Mathematical Discipline M. Desbrun Nov 2003 Processing Geometry: Graphics as a Mathematical Discipline Processing Geometry: Processing Geometry: Graphics as a Mathematical Discipline Graphics as a Mathematical Discipline Mathieu Desbrun Graphics Immersion Lab USC Computer Graphics (I) Computer Graphics (I) Computer Graphics (I) Creation of visual representations of real or imagined worlds with predictive power » modeling » rendering » animation » computational geometry Computer Graphics (II) Computer Graphics (II) Computer Graphics (II) Various targets: ! CAD, design of surfaces commerce, art ! AV productions: entertainment, education ! Simulators: surgery, virtual reality Jurassic Park Recent Developments Recent Developments Recent Developments After the early years ! Rasterization, z-buffer, basic shading, etc. ! Basic libraries: OpenGL, DirectX, Java 3D We need more accuracy ! Photorealistic radiosity: simulation of light interaction ! Scientific and medical visualization: 3D viz of rich data ! Digital geometry: handling 3D geometry with ease ! Realtime animation: realistic simulation with haptics ! Etc (geophysics, spatial exploration, biology,) History of Multimedia History of Multimedia History of Multimedia Success of Digital Signal Processing (DSP) ! Technology followed scientific evolution » is your cell phone off? ! Sounds, images, videos are all signals 70 80 90 00 sound images video geometry Signals as functions ! regular sampling ! basis for quantization, transform, filtering, ... t f(t) i j f(i,j) Sound, Images, Video Sound, Images, Video Sound, Images, Video
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Page 1
Graphics as Mathematical Discipline � M. Desbrun � Nov 2003
Processing Geometry:Graphics as a Mathematical Discipline
Processing Geometry:Processing Geometry:Graphics as a Mathematical DisciplineGraphics as a Mathematical Discipline
Mathieu Desbrun
Graphics Immersion Lab
USC
Computer Graphics (I)Computer Graphics (I)Computer Graphics (I)Creation of visual representations of real or imagined worlds with predictive power