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  2. Bézier curve - Wikipedia

    en.wikipedia.org/wiki/Bézier_curve

    The points P i are called control points for the Bézier curve. The polygon formed by connecting the Bézier points with lines, starting with P 0 and finishing with P n, is called the Bézier polygon (or control polygon). The convex hull of the Bézier polygon contains the Bézier curve.

  3. Variation diminishing property - Wikipedia

    en.wikipedia.org/wiki/Variation_diminishing_property

    The process of degree elevation for Bézier curves can be considered an instance of piecewise linear interpolation. Piecewise linear interpolation can be shown to be variation diminishing. [4] Thus, if R 1, R 2, R 3 and so on denote the set of polygons obtained by the degree elevation of the initial control polygon R, then it can be shown that

  4. B-spline - Wikipedia

    en.wikipedia.org/wiki/B-spline

    Spline curve drawn as a weighted sum of B-splines with control points/control polygon, and marked component curves. In the mathematical subfield of numerical analysis, a B-spline or basis spline is a spline function that has minimal support with respect to a given degree, smoothness, and domain partition.

  5. Composite Bézier curve - Wikipedia

    en.wikipedia.org/wiki/Composite_Bézier_curve

    Béziergon – The red béziergon passes through the blue vertices, the green points are control points that determine the shape of the connecting Bézier curves. In geometric modelling and in computer graphics, a composite Bézier curve or Bézier spline is a spline made out of Bézier curves that is at least continuous. In other words, a ...

  6. De Casteljau's algorithm - Wikipedia

    en.wikipedia.org/wiki/De_Casteljau's_algorithm

    Consider a Bézier curve with control points , …,. Connecting the consecutive points we create the control polygon of the curve. Subdivide now each line segment of this polygon with the ratio : and connect the points you get. This way you arrive at the new polygon having one fewer segment.

  7. Polygonal chain - Wikipedia

    en.wikipedia.org/wiki/Polygonal_chain

    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.

  8. Egg prices are likely to shoot up even more in 2025. Here's why.

    www.aol.com/eggs-prices-likely-shoot-even...

    H5N1, which has a high mortality rate among infected poultry and wild birds, is being watched closely by the U.S. Centers for Disease Control and Prevention as a potential public health threat.

  9. De Boor's algorithm - Wikipedia

    en.wikipedia.org/wiki/De_Boor's_algorithm

    In the mathematical subfield of numerical analysis, de Boor's algorithm [1] is a polynomial-time and numerically stable algorithm for evaluating spline curves in B-spline form. It is a generalization of de Casteljau's algorithm for Bézier curves. The algorithm was devised by German-American mathematician Carl R. de Boor. Simplified ...