Class LseCurvatureFlow3


public class LseCurvatureFlow3 extends LsePdeFilter3

This class implements the curvature flow filter for 3D images using a finite-difference-based solver for the partial differential equation:

    du/dt = |grad(u)|*divergence(grad(u)/|grad(u)|)

where u(x,y,z,t) is the evolved image at time t, du/dt is the time derivative of u, and grad(u) is the gradient of u with respect to the spatial variables. The notation divergence(Q) = Q0_x + Q1_y + Q2_z, the sum of first-order derivatives of the vector-valued function Q = (Q0,Q1,Q2).

The right-hand side of the PDE is the product of the gradient magnitude with the mean curvature of the level surfaces.

Version:
0.1 November 7, 2006
Author:
David Eberly
  • Constructor Details

    • LseCurvatureFlow3

      public LseCurvatureFlow3(int iXBound, int iYBound, int iZBound, float fXSpacing, float fYSpacing, float fZSpacing, float[] afData, boolean[] abMask, float fBorderValue, int eScaleType)
      Creates a new LseCurvatureFlow3 object.
      Parameters:
      iXBound - The x-bound of the image.
      iYBound - The y-bound of the image.
      iZBound - The z-bound of the image.
      fXSpacing - The x-spacing of the image.
      fYSpacing - The y-spacing of the image.
      fZSpacing - The z-spacing of the image.
      afData - The image elements, stored in lexicographical order.
      abMask - The image mask, stored in lexicographical order. A pixel value is processed by the PDE solver only when the mask value is false.
      fBorderValue - Specifies how to handle the image value. When set to Float.MAX_VALUE, Neumann conditions are in use, in which case zero-valued derivatives are assumed on the image border. Otherwise, Dirichlet conditions are used, in which case the image is assumed to be constant on the border with value specified by fBorderValue.
      eScaleType - The type of scaling to apply to the input image. The choices are NONE, UNIT, SYMMETRIC, or PRESERVE_ZERO.
  • Method Details

    • onUpdate

      protected void onUpdate(int iX, int iY, int iZ)
      The per-voxel update function of the PDE solver.
      Specified by:
      onUpdate in class LsePdeFilter3
      Parameters:
      iX - The x-value of the voxel to be updated.
      iY - The y-value of the voxel to be updated.
      iZ - The z-value of the voxel to be updated.