Harmonic Warping
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*mapping (x,y) from Euclidean plane unto (d(x),d(y)) in rectangle | *mapping (x,y) from Euclidean plane unto (d(x),d(y)) in rectangle | ||
- | ==Polar Harmonic Warping== | + | ===Polar Harmonic Warping=== |
- | ==Infinite Poles== | + | ===Infinite Poles=== |
Revision as of 09:52, 23 June 2009
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Harmonic Warping |
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Contents |
Basic Description
Look at Blue Wash for more information to learn how the image that is tiled was created.A More Mathematical Explanation
- Note: understanding of this explanation requires: *Single Variable Calculus
Essentially, an equation was used to map the points of
- equation , limit is 1
, limit is 1
- distance compressing warp
- infinite tiling of Euclidean plane mapped onto a rectangle (or ellipse)
- mapping (x,y) from Euclidean plane unto (d(x),d(y)) in rectangle
Polar Harmonic Warping
Infinite Poles
Teaching Materials
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