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0.41793156849703544, "maxChartDegrees": 5.015108108520508, "maxBilinearGradientFrobenius": 0.5470892350323271 }, "youngerToOlderBounds": { "rawMaxChartDegrees": 9.077411651611328, "magnitudeScale": 1.0, "gradientScale": 0.506110003150642, "maxChartDegrees": 4.594024181365967, "maxBilinearGradientFrobenius": 0.5470358475789104 } } } ], "pairCount": 50, "method": { "name": "Bidirectional bounded optical-flow display correspondence", "implementation": "OpenCV calcOpticalFlowFarneback", "opencvVersion": "5.0.0", "documentationURL": "https://docs.opencv.org/4.x/d4/dee/tutorial_optical_flow.html", "parameters": { "pyr_scale": 0.5, "levels": 5, "winsize": 31, "iterations": 8, "poly_n": 7, "poly_sigma": 1.5, "flags": 256 }, "features": "Signed shoreline distance (height>0), tanh(distance/7) with90levels; weak27level tanh(height/2200m) terrain detail; no modern coast or plate labels.", "sampling": "Every second node of the unmodified0.5-degree PALEOMAP height grids; 1-degree registration features only.", "periodicity": "Three longitude copies during registration; center result retained; duplicated output dateline nodes equal.", "polarPolicy": "Single published longitude0 source sample for registration-pole features; flow smoothly tapers from75degrees to zero at90degrees.", "smoothingSigmaDegrees": 2.2, "maxChartDisplacementDegrees": 12.0, "maxBilinearGradientFrobenius": 0.55, "displacementQuantizationDegrees": 0.00048828125, "fraction": "0=older source,1=younger source. Inverse advect qOld+fraction*olderToYounger(qOld)=x and qYoung+(1-fraction)*youngerToOlder(qYoung)=x, then blend transported fields.", "inverseSampling": "Iterate each bounded inverse map8times or to convergence. At exact source epochs, directly sample the unmodified source field without transport." }, "limitations": [ "Derived DISPLAY correspondence only. Optical flow is not plate velocity, a material trajectory, a geological force law, impact evidence, or ocean-crust birth/subduction history.", "The51 source epochs are the published PALEOMAP estimates; intermediate ages are a visualization inferred from neighboring terrain maps, not additional published reconstructions.", "Shorelines can change because of reconstructed sea level, erosion/deposition, mountain height or revised geography. Optical flow cannot identify which process caused a change or distinguish disappearing/new terrain.", "Bidirectional inverse advection reduces fixed-location dissolves but blends two transported fields. It does not solve occlusion, conservation of mass, geological topology or parcel identities.", "Registration is on a longitude/latitude chart, smoothly pinned near poles, bounded and damped for stable display; these deliberate bounds can underrepresent apparent motion and cannot establish scientific accuracy.", "The PALEOMAP reconstruction and its geographic frame are separate from the Müller2019 mantle-frame material model. No rotation alignment or physical coupling between those models is asserted.", "Pure PALEOMAP and Tharp reference assets remain unchanged. The source's pole/dateline defects and nominal-versus-stratigraphic age caveats still apply." ], "payloadBytes": 22555797, "sourceEpochsUnmodified": true }