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Log-spaced level curve plot In mathematical optimization , Himmelblau's function is a multi-modal function, used to test the performance of optimization algorithms . The function is defined by:
Typical applications include the contour lines on topographic maps or the generation of isobars for weather maps. Marching squares takes a similar approach to the 3D marching cubes algorithm: Process each cell in the grid independently. Calculate a cell index using comparisons of the contour level(s) with the data values at the cell corners.
This Hovmöller diagram records a running mean value of outgoing longwave radiation, OLR, which produces contour-values (here shown from +3 to –3) of the Madden–Julian oscillation, MJO. Here, time increases from top to bottom, i.e., vertically, along the ordinate, or y-axis; while the oscillation contours are oriented from left to right ...
Model F's standard deviation is clearly greater than the standard deviation of the observed field (indicated by the dashed contour at radial distance 2.9 mm/day). Fig. 1: Sample Taylor diagram displaying a statistical comparison with observations of eight model estimates of the global pattern of annual mean precipitation.
2D Contour Plot of Taylor Green Vortex. In fluid dynamics, the Taylor–Green vortex is an unsteady flow of a decaying vortex, which has an exact closed form solution of the incompressible Navier–Stokes equations in Cartesian coordinates. It is named after the British physicist and mathematician Geoffrey Ingram Taylor and his collaborator A ...
Contour band depth allows for ordering feature-set data from the center outwards and, thus, introduces a measure to define functional quantiles and the centrality or outlyingness of an observation. Having the ranks of feature-set data, the contour boxplot is a natural extension of the classical boxplot which in special cases reduces back to the ...
(a) Reconstruct projection rays from the image points (b) Estimate the nearest point of each projection ray to a point on the 3D contour (c) Estimate the pose of the contour with the use of this correspondence set (d) goto (b) The above algorithm does not account for images containing an object that is partially occluded.
Contour surfaces of Ackley's function in 3D In mathematical optimization , the Ackley function is a non- convex function used as a performance test problem for optimization algorithms . It was proposed by David Ackley in his 1987 PhD dissertation. [ 1 ]