involute curve - ορισμός. Τι είναι το involute curve
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Τι (ποιος) είναι involute curve - ορισμός

MATHEMATICAL CURVE CONSTRUCTED FROM ANOTHER CURVE
Evolvent; Involute of a circle; Involute of a Circle
  • Involutes of a circle
  • Involutes of a semicubic parabola (blue). Only the red curve is a parabola. Notice how the involutes and tangents make up an orthogonal coordinate system. This is a general fact.
  • Two involutes (red) of a parabola
  • Involutes of a cycloid (blue): Only the red curve is another cycloid
  • Involute: properties. The angles depicted are 90 degrees.
  • The red involute of a catenary (blue) is a tractrix.

Epidemic curve         
  • Common source outbreak of Hepatitis A in Nov-Dec 1978
A STATISTICAL CHART USED IN EPIDEMIOLOGY TO VISUALISE THE ONSET OF A DISEASE OUTBREAK.
Epi curve; Epidemiological curve
An epidemic curve, also known as an epi curve or epidemiological curve, is a statistical chart used in epidemiology to visualise the onset of a disease outbreak. It can help with the identification of the mode of transmission of the disease.
Bezier curve         
  • Animation of the construction of a fifth-order Bézier curve
  • cyan: ''y'' {{=}} ''t''<sup>3</sup>}}.
  • Abstract composition of cubic Bézier curves ray-traced in 3D. Ray intersection with swept volumes along curves is calculated with Phantom Ray-Hair Intersector algorithm.<ref>Alexander Reshetov and David Luebke, Phantom Ray-Hair Intersector. In Proceedings of the ACM on Computer Graphics and Interactive Techniques (August 1, 2018). [https://research.nvidia.com/publication/2018-08_Phantom-Ray-Hair-Intersector]</ref>
  • Animation of a linear Bézier curve, ''t'' in [0,1
  • Animation of a quadratic Bézier curve, ''t'' in [0,1
  • Construction of a quadratic Bézier curve
  • Animation of a cubic Bézier curve, ''t'' in [0,1
  • Construction of a cubic Bézier curve
  • Animation of a quartic Bézier curve, ''t'' in [0,1
  • Construction of a quartic Bézier curve
  • Quadratic Béziers in [[string art]]: The end points ('''&bull;''') and control point ('''&times;''') define the quadratic Bézier curve ('''⋯''').
CURVE USED IN COMPUTER GRAPHICS AND RELATED FIELDS
Bezier curve; Bezier curves; Bézier Curve; Bernstein-Bézier curve; Bernstein-Bezier curve; Besier curve; Bezier cubic; Bézier cubic; Bezier splines; Bezier Curve; Cubic bezier; Conic Bezier curve; Conic Bézier curve; Bezier path; Cubic bézier curve; Cubic Bézier curve
<graphics> A type of curve defined by mathematical formulae, used in computer graphics. A curve with coordinates P(u), where u varies from 0 at one end of the curve to 1 at the other, is defined by a set of n+1 "control points" (X(i), Y(i), Z(i)) for i = 0 to n. P(u) = Sum i=0..n [(X(i), Y(i), Z(i)) * B(i, n, u)] B(i, n, u) = C(n, i) * u^i * (1-u)^(n-i) C(n, i) = n!/i!/(n-i)! A Bezier curve (or surface) is defined by its control points, which makes it invariant under any affine mapping (translation, rotation, parallel projection), and thus even under a change in the axis system. You need only to transform the control points and then compute the new curve. The control polygon defined by the points is itself affine invariant. Bezier curves also have the variation-diminishing property. This makes them easier to split compared to other types of curve such as Hermite or B-spline. Other important properties are multiple values, global and local control, versatility, and order of continuity. [What do these properties mean?] (1996-06-12)
Blancmange curve         
FRACTAL WHICH IS CONSIDERED TO RESEMBLE A BLANCMANGE
Blancmange function; Takagi curve; Takagi-Landsberg curve; Midpoint displacement; Takagi fractal curve; Takagi function; Takagi’s function; Takagi Fractal Curve
In mathematics, the blancmange curve is a self-affine curve constructible by midpoint subdivision. It is also known as the Takagi curve, after Teiji Takagi who described it in 1901, or as the Takagi–Landsberg curve, a generalization of the curve named after Takagi and Georg Landsberg.

Βικιπαίδεια

Involute

In mathematics, an involute (also known as an evolvent) is a particular type of curve that is dependent on another shape or curve. An involute of a curve is the locus of a point on a piece of taut string as the string is either unwrapped from or wrapped around the curve.

The evolute of an involute is the original curve.

It is generalized by the roulette family of curves. That is, the involutes of a curve are the roulettes of the curve generated by a straight line.

The notions of the involute and evolute of a curve were introduced by Christiaan Huygens in his work titled Horologium oscillatorium sive de motu pendulorum ad horologia aptato demonstrationes geometricae (1673), where he showed that the involute of a cycloid is still a cycloid, thus providing a method for constructing the cycloidal pendulum, which has the useful property that its period is independent of the amplitude of oscillation.