As to the description of the performance of the SPF method in this section, this is summarized in the graph in Figure 3, along with the performance of the other methods.
Figures 18 and 19 show the robustness of geodesic D2 against pose changes; however, Osada's D2 performs poorly as explained in Section 3. The graphs in Figs. 18 and 19 are generated by smoothing splines and polynomial curve fitting of degree 9 contrary to piecewise linear functions in [21].
These numbers were classified by their location into cerebral cortex, SVZ, WM, and from layer VI to I. The expression patterns in whole brain were obtained as a total of sections per individual and plotted in the graph.
The phylogenetic groups are indicated by colors and their taxonomies are shown in the upper section of the graph.
This library, discussed in the next section, executes the graph transformations.
The calculations in the following section assume that the nodes in the graph have been sorted according to an appropriate causal ordering in the graph such that if i< j, then X j is not an ancestor of X i ; we note that such an ordering is possible under the assumption of acyclicity of the graph.
In this case, a section is the graph of a function (f :Omega rightarrow {mathbb C}), and the metric for the trivial line bundle is given by begin{aligned} langle f, g rangle (z) := f z) overline{g z)} e^{-varphi (z)}, quad zin Omega.
In this section, by considering the graph Γ ( S M ) defined as in the first section, we will mainly deal with the graph properties, namely diameter, girth, maximum and minimum degrees, domination number and finally irregularity index of it.
After introducing the model of computation in "Model of computation" section, we formally define the graph convergence problem and present two round-optimal solutions to it in "The graph convergence problem" section: an algorithm that solves graph convergence on trees, for any number of processes, and an algorithm that solves graph convergence on any connected graph, for two processes.
In this section, by considering the graph Γ ( P M ) drawn in Figure 1, we mainly deal with some graph properties, namely diameter, maximum and minimum degrees, girth, degree sequence, irregularity index, domination number, chromatic number and clique number of Γ ( P M ).
