Creates a two-dimensional point behavior. The location of the point is calculated by adding the corresponding coordinates of the given point and vector behaviors.
public static Point2Bvr add(
Point2Bvr pt,
Vector2Bvr vec
);
Returns the Point2Bvr object.
Creates a Point2Bvr behavior based on a B-spline function. The function depends on the control elements, the knot vector, the mathematical degree, and the weights of the control elements (these are optional).
A B-spline function without weights is piecewise polynomial and with weights is piecewise rational (the quotient of two polynomials). It requires that:
numberOfControlElements = numberOfKnots - degree + 1
The control elements define the approximate direction and shape of the function. The knots represent junction values, in parameter space, between the connected polynomial parts.
Given a degree d and a number of knots k, the function is valid in the range knotd to knotk-d+1, and is otherwise undefined. For example, for a degree 2 curve, the valid range is from the second knot to the next to the last knot, inclusive.
The returned Point2Bvr is the traversal of the spline function according to the evaluation parameter. The evaluation parameter is a NumberBvr that must be in the valid range of the spline, which is [knotd, knotk-d+1]. Any values outside this range are automatically clamped to the end values.
public static Point2Bvr bSpline(
int degree,
NumberBvr[] knots,
Point2Bvr[] control_elements,
NumberBvr[] weights,
NumberBvr evaluation
);
Returns the Point2Bvr object.
Creates a two-dimensional vector behavior of the instantaneous derivative (rate of change) of the given point behavior. For example, a constant yields a constant derivative of [0 0], and point2(time, 0) (without additional time substitutions) yields a constant derivative of [1 0].
public static Vector2Bvr derivative(
Point2Bvr pt
);
Returns the Vector2Bvr object.
Creates a number behavior representing the distance between two point behaviors.
public static NumberBvr distance(
Point2Bvr p1,
Point2Bvr p2
);
Returns the NumberBvr object.
Creates a number behavior representing the square of the distance between two point behaviors. This is the same as the distance method except that the distance is squared.
public static NumberBvr distanceSquared(
Point2Bvr p1,
Point2Bvr p2
);
Returns the NumberBvr object.
Creates a two-dimensional point behavior. The location of the point is given in Cartesian coordinates.
public static Point2Bvr point2(
NumberBvr x,
NumberBvr y
);
Returns the Point2Bvr object.
Creates a two-dimensional point behavior. The location of the point is given in polar coordinates.
public static Point2Bvr point2Polar(
NumberBvr XYangle,
NumberBvr length
);
Returns the Point2Bvr object.
Creates a two-dimensional vector behavior. The coordinate values of the vector are calculated by subtracting the coordinates of p2 from the corresponding coordinates of p1.
public static Vector2Bvr sub(
Point2Bvr p1,
Point2Bvr p2
);
Returns the Vector2Bvr object.
Creates a two-dimensional point behavior. The location of the point is calculated by subtracting the coordinates of the given vector behavior from the corresponding coordinates of the given point behavior.
public static Point2Bvr sub(
Point2Bvr pt,
Vector2Bvr vec
);
Returns the Point2Bvr object.
© 1997 Microsoft Corporation. All rights reserved. Terms of Use.