Manhattan Distance is a way to measure distance between two points if you can only move horizontally or vertically like on a grid of city streets or in a computer game. Manhattan Distance = |x1 - x2| + |y1 - y2|
The Vector Sum of Two Convex Polygons Consider two convex polygons P and Q. Given a point r = (x r , y r ) e P and a point s = (x s , y s ...G.T. Toussaint and J.A. MacAllear, "A Simple O(n log n) Algorithm for Finding the Maximum Distance Between Two Finite ...
rotation matrix and R and translation vector t that maps the first set of points to the second one. It will also give you the angle of rotation in degrees, assuming we're talking about 2D. Once you have R and t, you need to solve for the point x that doesn't change under the...
If I understand it clearly your P(and d) is a row/column vector of length 4650 and you need to find 11 points which are closest to X's 11 elements. If that is the case, I think you can try the code below to achieve the desired results. ( I am defining P as a row vector of...
Find the two intersection points between the XLine and the closed figure. Use the two intersection points to layout the points you need to calculate (see example code above). Move the XLine to the next grid position along direction 2. Repeat above steps as many times as needed, until you ...
For example, gravity model-based multi-attribute fusion18 identifies the influential nodes by introducing the K-shell, degree, eigenvector centrality or distance between nodes into the gravity model, such as GSM19, MCGM20 and KSGC21. However, since the time complexity of these algorithms ...
A combinatorial algorithm to find a shortest triangular path (STP) between two points inside a digital object imposed on triangular grid is designed havingO(nglogng)time complexity,nbeing the number of pixels on the contour of the object andgbeing the grid size. First the inner triangular...
Finding the optimal/best rotation and translation between two sets of corresponding 3D point data, so that they are aligned/registered, is a common problem I come across. An illustration of the problem is shown below for the simplest case of 3 corresponding points (the minimum required points ...
Finding Fixed Points An isometry on a metric space is a one-to-one distance-preserving transformation on the space. The Euclidean group is the group of isometries of -dimensional Euclidean space. These are all the transformations that preserve the distance between any two points. The group ...
The diameter of C is the distance between the two furthest points of C. It is easy to see that it equalsmaxu∈Udwidth(u,C). Ahn et al. [1] show how to compute an ε-kernel. Their algorithm uses the following type of primitive operations for C: Let TC be the time needed to...