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Equivalently, this is the smallest set that could be produced by a greedy algorithm that tries to solve the no-three-in-line problem by placing points one at a time until it gets stuck. [3] If only axis-parallel and diagonal lines are considered, then every such set has at least points. [18]
Connected-component labeling (CCL), connected-component analysis (CCA), blob extraction, region labeling, blob discovery, or region extraction is an algorithmic application of graph theory, where subsets of connected components are uniquely labeled based on a given heuristic.
The gray polygonal chain connecting the control points is called the control polygon. In computer-aided geometric design, smooth curves are often defined by a list of control points, e.g. in defining Bézier curve segments. When connected together, the control points form a polygonal chain called a control polygon.
The material deformation gradient tensor characterizes the local deformation at a material point with position vector , i.e., deformation at neighbouring points, by transforming (linear transformation) a material line element emanating from that point from the reference configuration to the current or deformed configuration, assuming continuity ...
In geometry, an arrangement of lines is the subdivision of the Euclidean plane formed by a finite set of lines. An arrangement consists of bounded and unbounded convex polygons , the cells of the arrangement, line segments and rays , the edges of the arrangement, and points where two or more lines cross, the vertices of the arrangement.
Notice that the points (2,1) and (2,3) are on opposite sides of the line and (,) evaluates to positive or negative. A line splits a plane into halves and the half-plane that has a negative f ( x , y ) {\displaystyle f(x,y)} can be called the negative half-plane, and the other half can be called the positive half-plane.
Shortest path (A, C, E, D, F) between vertices A and F in the weighted directed graph. In graph theory, the shortest path problem is the problem of finding a path between two vertices (or nodes) in a graph such that the sum of the weights of its constituent edges is minimized.
A set of whippletrees or leader-bars for the two leaders of a four-horse team A whippletree , or whiffletree , [ 1 ] [ 2 ] is a mechanism to distribute force evenly through linkages . It is also referred to as an equalizer , leader bar , or double tree .