CNF:Weighted Mesh To Image

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Repository

  1. https://git-community.cs.odu.edu/crtc/Utilities/weightedmeshtoimage

Code

Summer 2020

Create a new image using the weights of:

  1. k-nearest-neighbors points as values in a weighted-mean, were weight[i] = 1 / distance(pixel-point, neighbor-point[i]) ^ power.
  2. cell points as values in a weighted-mean, were weight[i] = 1 / distance(pixel-point, cell-point[i]) ^ power.
    1. Note: If the pixel point is not inside a cell, then the algorithm `1` will be used.
  3. the intersection set of k-nearest-neighbors points and cell points as values in a weighted-mean, were weight[i] = 1 / distance(pixel-point, intersection-point[i]) ^ power.
    1. Note 1: If the Intersection set is empty, then the algorithm `2` will be used.
    2. Note 2: If the pixel point is not inside a cell, then the algorithm `1` will be used.
  4. cell points as values in a weighted-mean, were weight[i] = probe-value[i] based on the location of each pixel point inside a cell. Probing values are result of FindCell function.
    1. Note: If the pixel point is not inside a cell, then the algorithm `1` will be used.

Comparison Metrics:

  1. Mean Weighted pixel value difference
    1. File:MeanWeightedPixelValueFormula.png
  2. Average Hausdorff Distance (itk filter)
  3. Similarity Index (itk filter)

Examples

Summer 2020

  1. Input Image
  2. Input Mesh

File:NT-image.png File:NT-mesh.png


  1. KNN, number of points = 4, power = 1.5

File:NT-a_1-n_4-p_1.5.png

    1. Mean Weighted pixel value difference: 0.000395461
    2. Average Hausdorff Distance: 0.030885
    3. Similarity Index: 0.986463

File:NT-a_2-n_4-p_1.5.png

    1. Mean Weighted pixel value difference: 0.0002258
    2. Average Hausdorff Distance: 0.030885
    3. Similarity Index: 0.986463


File:NT-a_3-n_5-p_1.5.png

    1. Mean Weighted pixel value difference: 0.000273839
    2. Average Hausdorff Distance: 0.030885
    3. Similarity Index: 0.986463


File:NT-a_4-n_4-p_1.5.png

    1. Mean Weighted pixel value difference: 9.17551e-05
    2. Average Hausdorff Distance: 0.030885
    3. Similarity Index: 0.986463