Fractals/curves
< Fractals
- level curves
- field lines
Level curvesEdit
Level cures:
- edge detection of level sets boundaries
- tracing equilevel curves
- inverse iteration of closed curve ( circle) around attractor
Level curves of 2D scalar field:
- equipotential lines ( isocurves , contour lines)
- boundary
- filed lines ( rays) = level curves of external angle
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preimages of circle : {z:abs(z)=ER} under fc(z)=z*z+c. Preimages of circle from the exterior gives level sets of the escaping time. Exterior of the circle is the trap for escaping points ( target set)
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edge detection of boundaries of Level Sets of escape time
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Level curves - method unknown, probably edge detection
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equipotential lines and external rays as preimages under Riemann map
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array of pixels for diminish number of points
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preimages of the circle from the Fatou set's interior
_%3D_z*z%2B0.25.svg)
Field linesEdit
- parameter plane
- dynamic plane
- external rays on dynamic plane = dynamic rays
- internal rays
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parameter external and internal rays
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Parameter external and internal rays
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Dynamic internal and external rays
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_%3D_z*z_%2B_0.35.png)
