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A monotone rectilinear polygon is a monotone polygon which is also rectilinear. A T-square is a fractal generated from a sequence of rectilinear polygons with interesting properties. Algorithmic problems involving rectilinear polygons
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A rectilinear polygon can always be covered with a finite number of vertices of the polygon. [1] The algorithm uses a local optimization approach: it builds the covering by iteratively selecting maximal squares that are essential to the cover (i.e., contain uncovered points not covered by other maximal squares) and then deleting from the polygon the points that become unnecessary (i.e ...
Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
The taxicab distance is also sometimes known as rectilinear distance or L 1 distance (see L p space). [1] This geometry has been used in regression analysis since the 18th century, and is often referred to as LASSO. Its geometric interpretation dates to non-Euclidean geometry of the 19th century and is due to Hermann Minkowski.
In Euclidean plane geometry, a rectangle is a rectilinear convex polygon or a quadrilateral with four right angles.It can also be defined as: an equiangular quadrilateral, since equiangular means that all of its angles are equal (360°/4 = 90°); or a parallelogram containing a right angle.
Rectilinear means related to a straight line; it may refer to: Gnomonic projection, also called rectilinear projection; Rectilinear grid, a tessellation of the Euclidean plane; Rectilinear lens, a photographic lens; Rectilinear locomotion, a form of animal locomotion; Rectilinear polygon, a polygon whose edges meet at right angles
A common definition used in digital image processing (image analysis) for characterizing 2-D shapes is: Roundness = Perimeter 2 / 4 π × Area . This ratio will be 1 for a circle and greater than 1 for non-circular shapes. Another definition is the inverse of that: Roundness = 4 π × Area / Perimeter 2 ,
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