Concepts inOn the parameterization of Catmull-Rom curves
Parametrization
Parametrization (or parameterization; also parameterisation, parametrisation in British English) is the process of deciding and defining the parameters necessary for a complete or relevant specification of a model or geometric object. Sometimes, this may only involve identifying certain parameters or variables.
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Curve
In mathematics, a curve (also called a curved line in older texts) is, generally speaking, an object similar to a line but which is not required to be straight. This entails that a line is a special case of curve, namely a curve with null curvature. Often curves in two-dimensional or three-dimensional (space curves) Euclidean space are of interest.
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Cusp (singularity)
In the mathematical theory of singularities a cusp is a type of singular point of a curve. Cusps are local singularities in that they are not formed by self intersection points of the curve. The plane curve cusps are all diffeomorphic to one of the following forms: x ¿ y = 0, where k ¿ 1 is an integer.
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Centripetal force
Centripetal force (from Latin centrum "center" and petere "to seek") is a force that makes a body follow a curved path: it is always directed orthogonal to the velocity of the body, toward the instantaneous center of curvature of the path. In simple terms, centripetal force is defined as a force which keeps a body moving with a uniform speed along a circular path and is directed along the radius towards the centre.
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In geometry a polygon is a flat shape consisting of straight lines that are joined to form a closed chain or circuit. A polygon is traditionally a plane figure that is bounded by a closed path, composed of a finite sequence of straight line segments (i.e. , by a closed polygonal chain). These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices or corners. An n-gon is a polygon with n sides.
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