geometric point

  • 21Point in polygon — In computational geometry, the point in polygon (PIP) problem asks whether a given point in the plane lies inside, outside, or on the boundary of a polygon. It is a special case of point location problems and finds applications in areas that deal …

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  • 22Point cloud — A point cloud is a set of vertices in a three dimensional coordinate system. These vertices are usually defined by X , Y and Z coordinates.Point clouds are most often created by 3D scanners. These devices measure a large number of points on the… …

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  • 23Point on plane closest to origin — In Euclidean 3 space we will find the point on an arbitrary plane that is closest to the origin using the method of Lagrange multipliers. First, let us start with an arbitrary plane, ax + by + cz = d. The distance, L, from the origin to a point… …

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  • 24Point distribution model — The point distribution model is a model for representing the mean geometry of a shape and some statistical modes of geometric variation inferred from a training set of shapes. It has been developed by Cootes, [citation author = T. F. Cootes title …

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  • 25point — 1. SYN: punctum. 2. A sharp end or apex. 3. A slight projection. 4. A stage or condition reached, as the boiling p. 5. To become ready to open, said of an abscess or boil the wall of which is becoming thin and about to rupture. 6. In mathematics …

    Medical dictionary

  • 26Point set triangulation — A triangulation of a set of points P in the plane is a triangulation of the convex hull of P, with all points from P being among the vertices of the triangulation. Triangulations are special cases of planar straight line graphs.Sometimes it is… …

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  • 27Singular point of an algebraic variety — In mathematics, a singular point of an algebraic variety V is a point P that is special (so, singular), in the geometric sense that V is not locally flat there. In the case of an algebraic curve, a plane curve that has a double point, such as the …

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  • 28Comparison of vector algebra and geometric algebra — Vector algebra and geometric algebra are alternative approaches to providing additional algebraic structures on vector spaces, with geometric interpretations, particularly vector fields in multivariable calculus and applications in mathematical… …

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  • 29Distance from a point to a line — The distance from a point to a line is the shortest distance from a point to a line in Euclidean geometry. It can be calculated in the following ways. Contents 1 Cartesian coordinates 2 Vector formulation 3 Proof 1 (algebraic proof) …

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  • 30Infinitely near point — In mathematics, the notion of infinitely near points was initially part of the intuitive foundations of differential calculus. In the simplest terms, two points which lie at an infinitesimal distance apart are considered infinitely near.… …

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