Wavelet Rasterization Josiah Manson and Scott Schaefer - - PowerPoint PPT Presentation

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Wavelet Rasterization Josiah Manson and Scott Schaefer - - PowerPoint PPT Presentation

May 04, 2023 145 likes •911 views

Wavelet Rasterization Josiah Manson and Scott Schaefer Rasterization in 2D KarensWhimsy.com Rasterization in 3D Drububu.com The aliasing problem http://www.webpages.uidaho.edu/cti/photoshop/intro/anti-aliasing.htm Anti-aliasing

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Wavelet Rasterization

Josiah Manson and Scott Schaefer

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Rasterization in 2D

KarensWhimsy.com

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Rasterization in 3D

Drububu.com

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The aliasing problem

http://www.webpages.uidaho.edu/cti/photoshop/intro/anti-aliasing.htm

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Anti-aliasing

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Anti-aliasing

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Anti-aliasing

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Pixel Raster Equation

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Pixel Raster Equation

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Pixel Raster Equation

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Applications

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Applications

“A Multiscale Approach to Mesh-based Surface Tension Flows” Nils Thuerey, Chris Wojtan, Markus Gross, and Greg Turk

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Haar Wavelets

1

  • 1

1

Φ

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Haar Wavelets

1

  • 1

1 1

  • 1

1

Φ Ψ

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Haar Wavelets

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Haar Wavelets

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Haar Wavelets

+

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Haar Wavelets

+ +

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Haar Wavelets

+ + +

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2D Haar Wavelets

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2D Haar Wavelets

=

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2D Haar Wavelets

= +

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Why Wavelets?

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Why Wavelets?

GPU AGG Wavelet

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Calculating Wavelet Coefficients

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Calculating Wavelet Coefficients

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Calculating Wavelet Coefficients

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Calculating Wavelet Coefficients

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Calculating Wavelet Coefficients

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Choosing F

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Choosing F

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Choosing F

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Choosing F

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Choosing F

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Choosing F

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Choosing F

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Choosing F

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Choosing F

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Line Segments

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Line Segments Details in paper

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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The Algorithm, Step-by-step

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Bêzier Curves

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Bêzier Curves

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Bêzier Curves

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Results

FreeType Wavelets Difference

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Results

2 20 10000

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Progressive Rasterization

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Progressive Rasterization

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Progressive Rasterization

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Progressive Rasterization

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Results

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Speed

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The Future

  • Use higher order wavelets
  • Implement on GPU
  • Progressive rasterization
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Bêzier Curves

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Bêzier Curves

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Bêzier Curves Details in paper

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3D Formulation

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3D Formulation