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Points in the re-sampled hand path were projected onto the straight line and the normal distance from each point along the curve to the corresponding point on the Euclidean straight line was measured to determine the point of maximum normal distance (maximum bending κ) in each path.
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Starting from an initial path for each step, its shape is firstly optimized by solving a sparse linear system and then the output floating path is projected to the surface to obtain the refined one for further propagation.
It's somewhat like the rocket that goes from the earth to the moon - though a clear path is projected, in reality, the rocket is constantly veering off the projected path, quickly responding and adjusting, and returning to the path - one constant adjustment after another, until it lands where it is supposed to.
The radiographic image shown in Fig. 2 is essentially a cross section through the dome parallel to the plane of the detector, on which the average density along all the muon paths is projected.
The radiograph is effectively a cross section through the volcano parallel to the plane of the detector on which the average density along all the muon paths is projected.
In terms of determining the internal structure of a volcano, this method measures the absorption of muons along a cross section of the volcano parallel to the plane of the detector, on which the average density along all muon paths is projected.
While several models of the 900-mile megastorm's path exist, Sandy is projected to make landfall late Monday night in the vicinity of Atlantic City, N.J.
"I suspect," the professor says, "someone in GM is projecting a rather robust path for the Chinese economy.
Before a hurricane's landfall, for example, residents in the storm's projected path are typically flooded with information from local officials.
The proposal that remarried Catholics might be admitted to Communion after they followed a "penitential path" is the pet project of Cardinal Walter Kasper, a German theologian who is close to the pope.
Cell Track Analysis To produce summed fluorescence images over time from differentially labeled cells, time-lapse z-stacks were individually maximally projected, then complete track paths were then generated by maximally projecting each snapshot of the time-series into a single image as described previously (Auffray et al., 2007 ).
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