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SURF is based on Hessian matrix, and it utilizes integral images to reduce the computation time.
In this article, we design a symmetric finite volume method, develop the corresponding preconditioning technique, and propose a mesh adaptation algorithm based on Hessian matrix and a two-grid method.
Chen presented a vessel tracing method based on Hessian matrix [ 14].
For the method based on Hessian matrix, it can improve the result, but the final segmentation is also unsatisfactory on the details.
As seen for the single-population models, coverage rates of 95% CI, based on Hessian estimates of uncertainty, were often lower for parameterizations involving recent population divergence than for those with ancient divergence (Additional file 1: Table S2).
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The employed smoothness criterion is based on a Hessian determinant test for the density.
If a Maximum Likelihood estimator is used to calibrate the parameters, the confidence intervals can be determined based on the Hessian of the objective function at the optimum (Marsili-Libelli et al., 2003).
Confidence intervals for parameters were based on the Hessian matrices, and the delta method was used to obtain variance estimates for the plateau as a function of the parameters.
R package version 2.16 .. Interval estimation was based on the Hessian at the optimal solution of Equation (12). Figure 4b and c shows the estimation when the technical variation is adapted using an exponentiated Poisson distribution with v = 5 and v = 0.2, respectively.
Another common technique is the speed up robust feature (SURF) [15], which is inspired by the SIFT detector and is based on the determinant Hessian matrix.
It is encouraging that, based on the Lagrangian Hessian, we can design an alternative computational technique for (H_{k}) such that ({H_{k}}) is bounded and satisfies request (27), which implies (11) whenever ({x^{k}}) is bounded, see formulas (52), (54) and (55) as well as Theorem 5 in Section 5.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com