Package org.joml

Class Interpolationd

java.lang.Object
org.joml.Interpolationd
public class Interpolationd extends Object
Contains various interpolation functions.
Author:
Kai Burjack

  • Constructor Summary

    Constructors
    Constructor
    Description
    Interpolationd()
     

  • Method Summary

    Modifier and Type
    Method
    Description
    static Vector2d
    dFdxLinear(double v0X, double v0Y, double f0X, double f0Y, double v1X, double v1Y, double f1X, double f1Y, double v2X, double v2Y, double f2X, double f2Y, Vector2d dest)
    Compute the first-order derivative of a linear two-dimensional function f with respect to X and store the result in dest.
    static Vector2d
    dFdyLinear(double v0X, double v0Y, double f0X, double f0Y, double v1X, double v1Y, double f1X, double f1Y, double v2X, double v2Y, double f2X, double f2Y, Vector2d dest)
    Compute the first-order derivative of a linear two-dimensional function f with respect to Y and store the result in dest.
    static double
    interpolateTriangle(double v0X, double v0Y, double f0, double v1X, double v1Y, double f1, double v2X, double v2Y, double f2, double x, double y)
    Bilinearly interpolate the single scalar value f over the given triangle.
    static Vector3d
    interpolateTriangle(double v0X, double v0Y, double f0X, double f0Y, double f0Z, double v1X, double v1Y, double f1X, double f1Y, double f1Z, double v2X, double v2Y, double f2X, double f2Y, double f2Z, double x, double y, Vector3d dest)
    Bilinearly interpolate the three-dimensional vector f over the given triangle and store the result in dest.
    static Vector2d
    interpolateTriangle(double v0X, double v0Y, double f0X, double f0Y, double v1X, double v1Y, double f1X, double f1Y, double v2X, double v2Y, double f2X, double f2Y, double x, double y, Vector2d dest)
    Bilinearly interpolate the two-dimensional vector f over the given triangle and store the result in dest.
    static Vector3d
    interpolationFactorsTriangle(double v0X, double v0Y, double v1X, double v1Y, double v2X, double v2Y, double x, double y, Vector3d dest)
    Compute the interpolation factors (t0, t1, t2) in order to interpolate an arbitrary value over a given triangle at the given point (x, y).

    Methods inherited from class java.lang.Object

    clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

  • Constructor Details

    • Interpolationd

      public Interpolationd()

  • Method Details

    • interpolateTriangle

      public static double interpolateTriangle(double v0X, double v0Y, double f0, double v1X, double v1Y, double f1, double v2X, double v2Y, double f2, double x, double y)
      Bilinearly interpolate the single scalar value f over the given triangle.

      Reference: https://en.wikipedia.org/

      Parameters:
      v0X - the x coordinate of the first triangle vertex
      v0Y - the y coordinate of the first triangle vertex
      f0 - the value of f at the first vertex
      v1X - the x coordinate of the second triangle vertex
      v1Y - the y coordinate of the second triangle vertex
      f1 - the value of f at the second vertex
      v2X - the x coordinate of the third triangle vertex
      v2Y - the y coordinate of the third triangle vertex
      f2 - the value of f at the third vertex
      x - the x coordinate of the point to interpolate f at
      y - the y coordinate of the point to interpolate f at
      Returns:
      the interpolated value of f

    • interpolateTriangle

      public static Vector2d interpolateTriangle(double v0X, double v0Y, double f0X, double f0Y, double v1X, double v1Y, double f1X, double f1Y, double v2X, double v2Y, double f2X, double f2Y, double x, double y, Vector2d dest)
      Bilinearly interpolate the two-dimensional vector f over the given triangle and store the result in dest.

      Reference: https://en.wikipedia.org/

      Parameters:
      v0X - the x coordinate of the first triangle vertex
      v0Y - the y coordinate of the first triangle vertex
      f0X - the x component of the value of f at the first vertex
      f0Y - the y component of the value of f at the first vertex
      v1X - the x coordinate of the second triangle vertex
      v1Y - the y coordinate of the second triangle vertex
      f1X - the x component of the value of f at the second vertex
      f1Y - the y component of the value of f at the second vertex
      v2X - the x coordinate of the third triangle vertex
      v2Y - the y coordinate of the third triangle vertex
      f2X - the x component of the value of f at the third vertex
      f2Y - the y component of the value of f at the third vertex
      x - the x coordinate of the point to interpolate f at
      y - the y coordinate of the point to interpolate f at
      dest - will hold the interpolation result
      Returns:
      dest

    • dFdxLinear

      public static Vector2d dFdxLinear(double v0X, double v0Y, double f0X, double f0Y, double v1X, double v1Y, double f1X, double f1Y, double v2X, double v2Y, double f2X, double f2Y, Vector2d dest)
      Compute the first-order derivative of a linear two-dimensional function f with respect to X and store the result in dest.

      This method computes the constant rate of change for f given the three values of f at the specified three inputs (v0X, v0Y), (v1X, v1Y) and (v2X, v2Y).

      Parameters:
      v0X - the x coordinate of the first triangle vertex
      v0Y - the y coordinate of the first triangle vertex
      f0X - the x component of the value of f at the first vertex
      f0Y - the y component of the value of f at the first vertex
      v1X - the x coordinate of the second triangle vertex
      v1Y - the y coordinate of the second triangle vertex
      f1X - the x component of the value of f at the second vertex
      f1Y - the y component of the value of f at the second vertex
      v2X - the x coordinate of the third triangle vertex
      v2Y - the y coordinate of the third triangle vertex
      f2X - the x component of the value of f at the third vertex
      f2Y - the y component of the value of f at the third vertex
      dest - will hold the result
      Returns:
      dest

    • dFdyLinear

      public static Vector2d dFdyLinear(double v0X, double v0Y, double f0X, double f0Y, double v1X, double v1Y, double f1X, double f1Y, double v2X, double v2Y, double f2X, double f2Y, Vector2d dest)
      Compute the first-order derivative of a linear two-dimensional function f with respect to Y and store the result in dest.

      This method computes the constant rate of change for f given the three values of f at the specified three inputs (v0X, v0Y), (v1X, v1Y) and (v2X, v2Y).

      Parameters:
      v0X - the x coordinate of the first triangle vertex
      v0Y - the y coordinate of the first triangle vertex
      f0X - the x component of the value of f at the first vertex
      f0Y - the y component of the value of f at the first vertex
      v1X - the x coordinate of the second triangle vertex
      v1Y - the y coordinate of the second triangle vertex
      f1X - the x component of the value of f at the second vertex
      f1Y - the y component of the value of f at the second vertex
      v2X - the x coordinate of the third triangle vertex
      v2Y - the y coordinate of the third triangle vertex
      f2X - the x component of the value of f at the third vertex
      f2Y - the y component of the value of f at the third vertex
      dest - will hold the result
      Returns:
      dest

    • interpolateTriangle

      public static Vector3d interpolateTriangle(double v0X, double v0Y, double f0X, double f0Y, double f0Z, double v1X, double v1Y, double f1X, double f1Y, double f1Z, double v2X, double v2Y, double f2X, double f2Y, double f2Z, double x, double y, Vector3d dest)
      Bilinearly interpolate the three-dimensional vector f over the given triangle and store the result in dest.

      Reference: https://en.wikipedia.org/

      Parameters:
      v0X - the x coordinate of the first triangle vertex
      v0Y - the y coordinate of the first triangle vertex
      f0X - the x component of the value of f at the first vertex
      f0Y - the y component of the value of f at the first vertex
      f0Z - the z component of the value of f at the first vertex
      v1X - the x coordinate of the second triangle vertex
      v1Y - the y coordinate of the second triangle vertex
      f1X - the x component of the value of f at the second vertex
      f1Y - the y component of the value of f at the second vertex
      f1Z - the z component of the value of f at the second vertex
      v2X - the x coordinate of the third triangle vertex
      v2Y - the y coordinate of the third triangle vertex
      f2X - the x component of the value of f at the third vertex
      f2Y - the y component of the value of f at the third vertex
      f2Z - the z component of the value of f at the third vertex
      x - the x coordinate of the point to interpolate f at
      y - the y coordinate of the point to interpolate f at
      dest - will hold the interpolation result
      Returns:
      dest

    • interpolationFactorsTriangle

      public static Vector3d interpolationFactorsTriangle(double v0X, double v0Y, double v1X, double v1Y, double v2X, double v2Y, double x, double y, Vector3d dest)
      Compute the interpolation factors (t0, t1, t2) in order to interpolate an arbitrary value over a given triangle at the given point (x, y).

      This method takes in the 2D vertex positions of the three vertices of a triangle and stores in dest the factors (t0, t1, t2) in the equation v' = v0 * t0 + v1 * t1 + v2 * t2 where (v0, v1, v2) are arbitrary (scalar or vector) values associated with the respective vertices of the triangle. The computed value v' is the interpolated value at the given position (x, y).

      Parameters:
      v0X - the x coordinate of the first triangle vertex
      v0Y - the y coordinate of the first triangle vertex
      v1X - the x coordinate of the second triangle vertex
      v1Y - the y coordinate of the second triangle vertex
      v2X - the x coordinate of the third triangle vertex
      v2Y - the y coordinate of the third triangle vertex
      x - the x coordinate of the point to interpolate at
      y - the y coordinate of the point to interpolate at
      dest - will hold the interpolation factors (t0, t1, t2)
      Returns:
      dest