Class Interpolation3D

java.lang.Object

org.episteme.core.mathematics.analysis.interpolation.Interpolation3D

public class Interpolation3D
extends Object

3D Interpolation methods.

Methods for interpolating values on a 3D grid.

Since:

1.0

Author:

Silvere Martin-Michiellot, Gemini AI (Google DeepMind)

Constructor Summary

Constructors

Constructor	Description
Interpolation3D()

Method Summary

Modifier and Type	Method	Description
static Real	trilinear(Real x, Real y, Real z, Real c000, Real c100, Real c010, Real c110, Real c001, Real c101, Real c011, Real c111)	Trilinear interpolation on a unit cube.
static Real	trilinear(Real x, Real y, Real z, Real x0, Real x1, Real y0, Real y1, Real z0, Real z1, Real v000, Real v100, Real v010, Real v110, Real v001, Real v101, Real v011, Real v111)	Trilinear interpolation on an arbitrary rectangular prism.

Methods inherited from class Object

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

Constructor Details

Interpolation3D

public Interpolation3D()

Method Details

trilinear

public static Real trilinear(Real x,
 Real y,
 Real z,
 Real c000,
 Real c100,
 Real c010,
 Real c110,
 Real c001,
 Real c101,
 Real c011,
 Real c111)

Trilinear interpolation on a unit cube.

Interpolates value at (x, y, z) where 0 invalid input: '<'= x, y, z invalid input: '<'= 1. Values at corners cXYZ (e.g., c000 is at (0,0,0), c100 is at (1,0,0)).

trilinear

public static Real trilinear(Real x,
 Real y,
 Real z,
 Real x0,
 Real x1,
 Real y0,
 Real y1,
 Real z0,
 Real z1,
 Real v000,
 Real v100,
 Real v010,
 Real v110,
 Real v001,
 Real v101,
 Real v011,
 Real v111)

Trilinear interpolation on an arbitrary rectangular prism.

Parameters:

x - target x

y - target y

z - target z

x0 - x min

x1 - x max

y0 - y min

y1 - y max

z0 - z min

z1 - z max

v000 - value at (x0, y0, z0)

v100 - value at (x1, y0, z0)

v010 - value at (x0, y1, z0)

v110 - value at (x1, y1, z0)

v001 - value at (x0, y0, z1)

v101 - value at (x1, y0, z1)

v011 - value at (x0, y1, z1)

v111 - value at (x1, y1, z1)

Returns:

interpolated value