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Although most single particle detection methods rely on a background offset in their fitting function to accommodate a slowly varying and evenly distributed background level, we found that the highly variable and changing background levels of sparklet videos necessitated a background subtraction and additional fitting constraints in the tails of the 2D Gaussian fit.
In Subsection 3.1, we first derive a general framework for the inclusion of AAM fitting constraints.
As our approach combines several fitting constraints, an important aspect is the practical relevance of individual constraint types.
For this particular scenario, we presented various types of suitable fitting constraints that were included into our probabilistic framework.
The robust template tracking approach of [16] which is used to provide local AAM fitting constraints was implemented in C++ using the OpenCV library [56].
This effect can be explained by the fact that the subset AAM is optimized for these specific landmarks, while the augmented AAM mediates between various fitting constraints for all landmarks - even those not covered in this comparison.
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The second part of the equation is a fitting constraint.
It is aimed at fitting requirements and constraints of nanotechnologies, in an effort to achieve efficient use of the huge computing power promised by them.
Existing theoretical modeling of this very complicated ν9 region permitted effective control of the multispectrum fitting technique; some constraints were applied using predicted intensity ratios, doublet separations, half-width coefficients and their temperature dependence exponents in order to determine reliable parameters for each of the two torsional-split components.
In short, the four rate constants were determined by curve fitting with a weighted non-linear least squares fitting technique with constraint-restricting parameters between 0 and 0.9.
The result of each solution step is trade-off between satisfying the set of constraints and fitting of the surfaces to the measured points.
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