Class AlgorithmAGVF

All Implemented Interfaces:
AlgorithmInterface, ActionListener, WindowListener, Runnable, EventListener
Direct Known Subclasses:
AlgorithmCellTrackingAGVF

public class AlgorithmAGVF extends AlgorithmBase implements AlgorithmInterface
Snake-like algorithm deriviative. The algorithm is supplied a polygon (VOI - contour) and that polygon is allowed to evolve to the edge of the object generated by calculating the gradient vector field. The user/programmer supplies the sigmas (scales) at which to calculate the edge map f = |grad(Gsigma(x,y)*I(x,y))|

2 iterative processes are used. The first calculates the gradient vector field. The gradient of the edge map is used to initialize the iterative equation for the gradient vector field. In the second iterative process which calculates the boundary, the point is moved by the gradient vector field.

* This original GVF algorithm has:
u[i] += mu*del2(u[i]) - Math.sqrt(fx[i]*fx[i] + fy[i]*fy[i])*(u[i] - fx[i]);
v[i] += mu*del2(v[i]) - Math.sqrt(fx[i]*fx[i] + fy[i]*fy[i])*(v[i] - fy[i]);
This program uses the generalized GVF algorithm with:
du/dt = g(|grad f|)del2xy(u) - h(|grad f|)*(u - fx) dv/dt = g(|grad f|)del2xy(v) - h(|grad f|)*(v - fy) g[i] = Math.exp(-(fx[i]*fx[i] + fy[i]*fy[i])/(k*k))
h[i] = 1 - g[i] du/dt = u(i,j,n+1) - u(i,j,n)/(delta t) del2xy(u) = (1/((delta x)(delta y)))* (u(i+1,j,n) + u(i,j+1,n) + u(i-1,j,n) + u(i,j-1,n) - 4u(i,j,n) = del2(u)/((delta x)*(delta y)) u(i,j,n+1) = u(i,j,n) + g(|grad f|)*(delta t)/((delta x)*(delta y)) * del2(u) - (1 - g(|grad f|)*(u - fx)*delta t Letting detla x = 1, delta y = 1, and delta t = 0.25: u[i] += 0.25f*(g[i]*del2(u[i]) - (1 - g[i])*(u[i] - fx[i]));
v[i] += 0.25f*(g[i]*del2(v[i]) - (1 - g[i])*(v[i] - fy[i]));
Stability for the original GVF algorithm requires mu invalid input: '<'= 0.25f and stability for the generalized GVF algorithm requires that delta t invalid input: '<'= (delta x * delta y)/(4 * gmax) = 1/4. For 3D: delta t invalid input: '<'= (delta x * delta y * delta z)/(6* gmax) = 1/6.

A large scale slows the snake and causes the snake to conform to large scale structure. A small sigma value causes the snake to conform to the small scale structure is therefore more sensitive to noise. The three-dimensional version is really a two-and-half dimensional algorithm where the resultant contour in a slice is projected into the adjacent slice and is used as an initialization to the evolution in the new slice.

Useful references on gradient vector field:
1.) "Gradient Vector Flow: A New External Force For Snakes", Chenyang Xu and Jerry L. Prince, IEEE Proc. Conf. on Comp. Vis. Patt. Recog. (CVPR'97), pp. 66- 71.
2.) "Snakes, Shapes, and Gradient Vector Flow", Chenyang Xu and Jerry L. Prince, IEEE Transactions on Image Processing, March, 1998, pp. 359-369.
3.) "Generalized gradient vector flow external forces for active contours", Chenyang Xu and Jerry Prince, Signal Processing, 71(2), December, 1998, pp. 131-139.
4.) "Gradient Vector Flow Deformable Models", Handbook of Medical Imaging, ChenYang Xu and Jerry Prince, edited by I. Bankman, Academic Press, 2000, pp. 159-169.
5.) "Image Segmentation Using Deformable Models", Handbook of Medical Imaging -- Volume 2: Medical Imaging and Analysis, Chenyang Xu, Dzung Pham, and Jerry Prince, edited by J.M. Fitzpatrick and M. Sonka, SPIE Press, May, 2000, pp. 129-174.
More information on gradient vector field can be found at Chenyang Xu's homepage at http://iacl.ece.jhu.edu/~chenyang

See Also:
  • Field Details

    • boundaryIterations

      protected int boundaryIterations
      Maximum iterations to generate new boundary.
    • extents

      protected int[] extents
      DOCUMENT ME!
    • xDim

      protected int xDim
      DOCUMENT ME!
    • yDim

      protected int yDim
      DOCUMENT ME!
    • zDim

      protected int zDim
      DOCUMENT ME!
    • do25D

      private boolean do25D
      Only applies to 3D, if true do slice by slice.
    • expGvfBuffer

      private float[] expGvfBuffer
      DOCUMENT ME!
    • fx

      private float[] fx
      DOCUMENT ME!
    • fy

      private float[] fy
      DOCUMENT ME!
    • fz

      private float[] fz
      DOCUMENT ME!
    • gVal

      private float[] gVal
      DOCUMENT ME!
    • gvfBuffer

      private float[] gvfBuffer
      DOCUMENT ME!
    • gvfIterations

      private int gvfIterations
      Maximum iterations to generate generalized gradient vector field.
    • GxData

      private float[] GxData
      Storage location of the first derivative of the Gaussian in the X direction.
    • GyData

      private float[] GyData
      Storage location of the first derivative of the Gaussian in the Y direction.
    • GzData

      private float[] GzData
      Storage location of the first derivative of the Gaussian in the Z direction.
    • kExtents

      private int[] kExtents
      Dimensionality of the kernel.
    • kValue

      private float kValue
      In the paper "Generalized gradient vector flow external forces for active contours" by Chenyang Xu and Jerry Prince values of 0.05, 0.15, and 0.2 were used for k.
    • length

      private int length
      DOCUMENT ME!
    • propagationFlag

      private boolean propagationFlag
      If true propagate the contour to an adjacent slice.
    • resultVOI

      private VOI resultVOI
      The resultant polygon and the evolution has completed.
    • sigmas

      private float[] sigmas
      Standard deviations of the gaussian used to calculate the kernels.
    • smoothness

      private float smoothness
      DOCUMENT ME!
    • srcVOI

      private VOI srcVOI
      The initial VOI to initialize the evolution process.
    • stSlice

      private int stSlice
      DOCUMENT ME!
    • uVal

      private float[] uVal
      DOCUMENT ME!
    • vVal

      private float[] vVal
      DOCUMENT ME!
    • wVal

      private float[] wVal
      DOCUMENT ME!
    • outputBuffer

      private float[] outputBuffer
  • Constructor Details

    • AlgorithmAGVF

      public AlgorithmAGVF(ModelImage resultImage, ModelImage srcImg, float[] sigmas, int gvfIterations, int boundaryIterations, float k, float smoothness, VOI srcVOI, boolean do25D)
      Creates a new AlgorithmAGVF object.
      Parameters:
      resultImage - image of GVF field magnitude
      srcImg - 2D or 3D source image
      sigmas - describe the scale of the gaussian in each dimension
      gvfIterations - iterations in calculating GVF field
      boundaryIterations - iterations in calculating boundary
      k - GVF constant
      smoothness - DOCUMENT ME!
      srcVOI - VOI that is to be evolved
      do25D - only applies to 3D, if true do slice by slice
  • Method Details

    • finalize

      public void finalize()
      Prepares this class for destruction.
      Overrides:
      finalize in class AlgorithmBase
    • getResultVOI

      public VOI getResultVOI()
      Returns the resultant VOI.
      Returns:
      resultant VOI that has localized to the boundaries of the object
    • runAlgorithm

      public void runAlgorithm()
      starts the snake algorithm.
      Specified by:
      runAlgorithm in class AlgorithmBase
    • setPropagation

      public void setPropagation(boolean flag)
      Sets the propagation flag.
      Parameters:
      flag - if true result contour from a slice is propagated to the adjacent slice and used to initialize the snake algorithm for that slice. If false the snake algorithm stops after optimizing the boundary in the present slice.
    • getBilinear

      protected static float getBilinear(int i, float dx, float dy, int[] iExtents, float[] image)
      Performs bilinear interpolation of image data.
      Parameters:
      i - index into image
      dx - change in x from integer
      dy - change in y from integer
      iExtents - dimensions of image
      image - image data
      Returns:
      DOCUMENT ME!
    • cleanLine

      protected Vector<WildMagic.LibFoundation.Mathematics.Vector2f> cleanLine(float[] xPts, float[] yPts)
      Removes points (vectors) that form sharp angles (i.e. smoothes boudnary) Also adds points separated by some distance and removes adjacent points
      Parameters:
      xPts - x coords of points that define a contour
      yPts - y coords of points that define a contour
      Returns:
      DOCUMENT ME!
    • cleanLine

      private Vector<WildMagic.LibFoundation.Mathematics.Vector3f> cleanLine(float[] xPts, float[] yPts, float[] zPts)
    • cleanup

      protected void cleanup()
      Sets structures to null.
    • runSnake

      protected void runSnake(float[] xPoints, float[] yPoints, float[] u, float[] v, Polygon resultGon)
      Actual function that evolves the boundary.
      Parameters:
      xPoints - x coordinates that describe the contour
      yPoints - y coordinates that describe the contour
      u - x component of the GVF
      v - y component of the GVF
      resultGon - resultant polygon
    • runSnake

      protected void runSnake(float[] xPoints, float[] yPoints, float[] zPoints, float[] u, float[] v, VOIBase resultContour)
      Actual function that evolves the boundary.
      Parameters:
      xPoints - x coordinates that describe the contour
      yPoints - y coordinates that describe the contour
      u - x component of the GVF
      v - y component of the GVF
      resultGon - resultant polygon
    • calc25D

      private void calc25D()
      Prepares the data and runs the algorithm for a 3D image.
    • calc2D

      private void calc2D()
      Prepares the data and runs the algorithm for a 2D image.
    • calc3D

      private void calc3D()
      Prepares the data and runs the algorithm for a 3D image.
    • calcGVF

      private void calcGVF(int sliceNum, float[] imgBuffer)
      Calculate GVF from image buffer.
      Parameters:
      sliceNum -
      imgBuffer - DOCUMENT ME!
    • calcGVF3D

      private void calcGVF3D(float[] imgBuffer)
      Calculate GVF from 3D image buffer.
      Parameters:
      imgBuffer - DOCUMENT ME!
    • distance

      private double distance(float x1, float x2, float y1, float y2)
      Calculates the euclidian distance between two points.
      Parameters:
      x1 - first x coord.
      x2 - seconde x coord.
      y1 - first y1 coord.
      y2 - seconde y2 coord.
      Returns:
      DOCUMENT ME!
    • makeKernels2D

      private void makeKernels2D()
      Makes derivative kernels to be used in the calculation of the gradient magnitude.
    • makeKernels3D

      private void makeKernels3D()
      Makes 3D derivative kernels to be used in the calculation of the gradient magnitude.
    • setPoints

      private void setPoints(float[] xPoints, float[] yPoints, Polygon gon)
      Takes the polygon and forms two special arrarys for use in runSnake.
      Parameters:
      xPoints - storage location of array of x coord. points
      yPoints - storage location array of y coord. points
      gon - initial polygon
    • setPoints

      private void setPoints(float[] xPoints, float[] yPoints, float[] zPoints, VOIBase contour)
      Takes the polygon and forms two special arrarys for use in runSnake.
      Parameters:
      xPoints - storage location of array of x coord. points
      yPoints - storage location array of y coord. points
      gon - initial polygon
    • algorithmPerformed

      public void algorithmPerformed(AlgorithmBase algorithm)
      Description copied from interface: AlgorithmInterface
      Called after an algorithm this listener is registered to exits (maybe successfully, maybe not). If the algorithm is run in a separate thread, this call will be made within that thread. If not, this call will be made from that same, shared thread.
      Specified by:
      algorithmPerformed in interface AlgorithmInterface
      Parameters:
      algorithm - the algorithm which has just completed