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A signed distance function is constructed to perform the comparison which returns the signed distance from each sampled point to the designed surface.
The function is initialized as a signed distance function.
The segmenting curve is represented as the zero level set of a signed distance function.
Often, a re-initializing algorithm is incorporated to transform a numerically instable level set function to a signed distance function.
The level set field is periodically reinitialized to a signed distance function using an iterative approach with a new upwind gradient.
Finally, a Gaussian filtering is used to regularize the level set function following each iteration, which avoids the calculation of a signed distance function and re-initialization.
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The resultant segmenting level set function is always a transformed version of an original signed distance function, which itself is thus a signed distance function.
A single signed distance function is used to track the solid liquid interface with the aid of markers, the value of which is the orientation angle, for identification of different crystals.
We introduce an algorithm for constructing an approximate signed distance function through manipulation of values calculated from flow of time dependent eikonal equations.
Level set methods use a level set function, usually an approximate signed distance function, Φ, to represent the interface as the zero set of Φ.
To avoid the gray regions, an approximated signed distance function is proposed to regularize the LSF and KS function.
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