If the solution has been found in the previous step, then it is corrected with a local alignment algorithm. To generate the final map that consists of partial maps, it is necessary to transform maps to the common coordinate system and aggregate data from them into one model. 2.1 Models extr...
First we need to transform the equations into a form that is more amenable to numerical solution. Recall that the Navier-Stokes equations are three equations that we can solve for the quantities u, v, and p. However, it is not obvious how to solve them. The following section desc...
It has been shown that, if the initial problem is transformed into a pair of convex problems, an iterative algorithm can be proposed to address the shape of the drone trajectory. Mozaffari et al. proposed the method to optimize the path of the drones by calculating the optimum number of ...
Based on Equation (6), it is feasible to transform the point cloud coordinates from various scanning angles into the initial state within the LiDAR coordinate system. This makes it easier to integrate point clouds from various scanning angles on a single LiDAR. A thorough point cloud of a siza...
For un-projected shapefiles (in a Geographic Coordinate System using latitude/longitude in degrees), only the file with the .shp extension is required. If the shapefile is in a projected coordinate system (UTM, State Plane, Web Mercator, etc.), zip all the component files together and import...
In this paper, we proposed a sliding mode control method for the bearingless permanent magnet slice motor for the blood pump based on the genetic particle swarm algorithm, which aims to solve the problems of strong coupling, strong interference, nonlinea
a 2D image. Although SI is widely cited and time-efficient approach, it is sensitive to mesh resolution and has limited descriptiveness [16,20,27]. Chen and Bhanu [28] proposed a local surface patch (LSP) descriptor, which constructs LSPs and encodes the shape index and normal deviations ...
inside (negative) or outside (positive). We use hardware gradients to approximate a screen-space signed distance to the curve boundary. This signed distance is used for antialiasing the curved boundaries. We can apply an arbitrary projective transform to view our plane curves in 3D. The re...
\({w}_{\mathrm{1,2}}=\sqrt{{u}^{2}+{v}^{2 }}\,is\,the\,radial\,coordinate\,in\,the\,Fourier\,plane\) \(corresponding\,to\,each\,circle.\) The Fourier transform of shifted dirac-delta function gives inclined plane wave as: $$\begin{aligned}F.T. \left\{\updelta \left(...
When rotating an object, we rotate it around the coordinate system’s origin to a specific degree: 2.4. Shearing The shear transformation is a transformation that tilts an object’s shape. Skewing is another name for shearing transformation. -Shear and -Shear are the two kinds of shear that ...