2D Example Meshes

The directory containing the 2D input data is located in the 2D folder of CNF_Data.

Synthetic Gaussian Data

Input distribution size : 1,000,000 cells
Uniform case: 30,949 triangles
Adapted case: 3,788 triangles

Commands to generate meshes :

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/Gaussian2.vtk  --output Gaussian_me_10_uniform.vtk --uniform --min-edge=10

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/Gaussian2.vtk  --output Gaussian_me_10_wl_1e-1.vtk --weight-limit=0.05 --min-edge=10

GPDGK16Numerical_140519

The 2D case created by extracting a 2D slice at X=50 out of the 3D distribution (see 3D case below) GPDGK16Numerical_140519

Input distribution size : 10,000 cells
Uniform case: 7,587 triangles
Adapted (min_edge = 2) case: 623 triangles
Adapted (min_edge = 0.5) case: 1,409 triangles

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/GPDGK16Numerical_140519_X50.vtk --output GPDGK16Numerical_140519_me_2_uniform.vtk --min-edge=2 --uniform

Adapted :(min_edge = 2) Output Mesh

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/GPDGK16Numerical_140519_X50.vtk --output GPDGK16Numerical_140519_me_2_wl_1e-1.vtk --min-edge=2 --weight-limit=0.1

Adapted :(min_edge = 0.5) Output Mesh

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/GPDGK16Numerical_140519_X50.vtk --output GPDGK16Numerical_140519_me_0.5_wl_1e-1.vtk --min-edge=0.5 --weight-limit=0.1

Note: By using min-edge less than 1 we are essentially generating triangles with an edge smaller than the input pixels. Using values much smaller than 1 is not expected to help the discretization since we are essentially packing more element into a pixel which has a constant value.

NT_140519

Input distribution size : 10,000 cells
Uniform case: 7,587 triangles
Adapted case: 1,038 triangles

The 2D case created by extracting a 2D slice at X=50 out of the 3D distribution (see 3D case below) NT_140519

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/NT_140519_50_X.vtk  --output NT_140519_X50_me_2_uniform.vtk --min-edge=2 --uniform

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/NT_140519_50_X.vtk  --output NT_140519_X50_me_2_wl_1e-1.vtk --min-edge=2 --weight-limit=0.1

OBS_ALU_Y50

Input distribution size : 10,000 cells
Uniform case: 7,587 triangles
Adapted case: 1,018 triangles

The 2D case created by extracting a 2D slice at Y=50 out of the 3D distribution (see 3D case below) OBS_ALU

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/OBS_ALU_Y50.vtk --output OBS_ALU_Y50_me_2_uniform.vtk --min-edge=2 --uniform

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m tessellate2d  --input ./CNF_Data/2D/OBS_ALU_Y50.vtk --output OBS_ALU_Y50_me_2_wl_1e-1.vtk --min-edge=2 --weight-limit=0.1

3D Example Meshes

The directory containing the 3D input data is located in the 3D folder of CNF_Data.

CFF_14052019

GPDGK16Numerical_140519

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 273,716 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d -i ../../Data/3D/CNF_SHARE/CFF_14052019/GPDGK16Numerical_140519.nrrd --image-segmentation --linear-interpolation --output ./GPDGK16Numerical_140519,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/GPDGK16Numerical_140519.nrrd --cnf --weight-limit 0.1 --min-edge 1 --output ./GPDGK16Numerical_140519,d=5,wl=0.1,me=1.vtk

GPDMMS13_140519

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 264,762 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/GPDMMS13_140519.nrrd --image-segmentation --linear-interpolation --output ./GPDMMS13_140519,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/GPDMMS13_140519.nrrd --cnf --weight-limit 0.05 --min-edge 1 --output ./GPDMMS13_140519,d=5,wl=0.05,me=1.vtk

GPDVGG99_140519

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 261,485 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/GPDVGG99_140519.nrrd --image-segmentation --linear-interpolation --output ./GPDVGG99_140519,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/GPDVGG99_140519.nrrd --cnf --weight-limit 0.05 --min-edge 1 --output ./GPDVGG99_140519,d=5,wl=0.05,me=1.vtk

NT_140519

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 253,965 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/NT_140519.nrrd --image-segmentation --linear-interpolation --output ./NT_140519,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/NT_140519.nrrd --cnf --weight-limit 0.07 --min-edge 1 --output ./NT_140519,d=5,wl=0.07,me=1.vtk

OBS_ALU_140519

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 259,269 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/OBS_ALU_140519.nrrd --image-segmentation --linear-interpolation --output ./OBS_ALU_140519,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/OBS_ALU_140519.nrrd --cnf --weight-limit 0.13 --min-edge 1 --output ./OBS_ALU_140519,d=5,wl=0.13,me=1.vtk

OBS_CS_140519

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 25,168 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/OBS_CS_140519.nrrd --image-segmentation --linear-interpolation --output ./OBS_CS_140519,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_14052019/OBS_CS_140519.nrrd --cnf --weight-limit 0.01 --min-edge 1 --output ./OBS_CS_140519,d=5,wl=0.01,me=1.vtk

CFF_DATA

cff_E.data_IM

Input distribution size : 8,000,000 cells
Uniform case: 745,291 tetrahedra
Adapted case: 1,668,140 tetrahedra
Adapted case: 1,668,140 tetrahedra (other side of the same adapted case)

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_E.data_IM.nrrd --image-segmentation --linear-interpolation --output ./cff_E.data_IM,d=2,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_E.data_IM.nrrd --cnf --weight-limit 0.01 --min-edge 1 --output ./cff_E.data_IM,d=10,wl=0.01,me=1.vtk

cff_E.data_REAL

Input distribution size : 8,000,000 cells
Uniform case: 745,291 tetrahedra
Adapted case: 1,433,247 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_E.data_REAL.nrrd --image-segmentation --linear-interpolation --output ./cff_E.data_REAL,d=2,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_E.data_REAL.nrrd --cnf --weight-limit 0.1 --min-edge 1 --output ./cff_E.data_REAL,d=10,wl=0.1,me=1.vtk

cff_H.data_IM

Input distribution size : 8,000,000 cells
Uniform case: 745,291 tetrahedra
Adapted case: 1,379,521 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_H.data_IM.nrrd --image-segmentation --linear-interpolation --output ./cff_H.data_IM,d=2,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_H.data_IM.nrrd --cnf --weight-limit 0.05 --min-edge 1 --output ./cff_H.data_IM,d=10,wl=0.05,me=1.vtk

cff_H.data_REAL

Input distribution size : 8,000,000 cells
Uniform case: 745,291 tetrahedra
Adapted case: 1,699,757 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_H.data_REAL.nrrd --image-segmentation --linear-interpolation --output ./cff_H.data_REAL,d=2,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_H.data_REAL.nrrd --cnf --weight-limit 0.1 --min-edge 1 --output ./cff_H.data_REAL,d=10,wl=0.1,me=1.vtk

cff_Ht.data_IM

Input distribution size : 8,000,000 cells
Uniform case: 745,291 tetrahedra
Adapted case: 1,594,872 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_Ht.data_IM.nrrd --image-segmentation --linear-interpolation --output ./cff_Ht.data_IM,d=2,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_Ht.data_IM.nrrd --cnf --weight-limit 0.1 --min-edge 1 --output ./cff_Ht.data_IM,d=10,wl=0.1,me=1.vtk

cff_Ht.data_REAL

Input distribution size : 8,000,000 cells
Uniform case: 745,291 tetrahedra
Adapted case: 1,821,299 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_Ht.data_REAL.nrrd --image-segmentation --linear-interpolation --output ./cff_Ht.data_REAL,d=2,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/CFF_DATA/cff_Ht.data_REAL.nrrd --cnf --weight-limit 0.1 --min-edge 1 --output ./cff_Ht.data_REAL,d=10,wl=0.1,me=1.vtk

DATA_04252019

CFF_E_im

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 236,512 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/CFF_E_im.nrrd --image-segmentation --linear-interpolation --output ./CFF_E_im,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/CFF_E_im.nrrd --cnf --weight-limit 0.04 --min-edge 1 --output ./CFF_E_im,d=5,wl=0.04,me=1.vtk

CFF_E_re

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 260,349 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/CFF_E_re.nrrd --image-segmentation --linear-interpolation --output ./CFF_E_re,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/CFF_E_re.nrrd --cnf --weight-limit 0.08 --min-edge 1 --output ./CFF_E_re,d=5,wl=0.08,me=1.vtk

CFF_H_im

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 263,040 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/CFF_H_im.nrrd --image-segmentation --linear-interpolation --output ./CFF_H_im,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/CFF_H_im.nrrd --cnf --weight-limit 0.06 --min-edge 1 --output ./CFF_H_im,d=5,wl=0.06,me=1.vtk

CFF_H_re

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 249,257 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/CFF_H_re.nrrd --image-segmentation --linear-interpolation --output ./CFF_H_re,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/CFF_H_re.nrrd --cnf --weight-limit 0.13 --min-edge 1 --output ./CFF_H_re,d=5,wl=0.13,me=1.vtk

GPD_H_down

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 300,117 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/GPD_H_down.nrrd --image-segmentation --linear-interpolation --output ./GPD_H_down,d=1,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/GPD_H_down.nrrd --cnf --weight-limit 0.1 --min-edge 1 --output ./GPD_H_down,d=5,wl=0.1,me=1.vtk

GPD_H_up

Input distribution size : 1,000,000 cells
Uniform case: 768,033 tetrahedra
Adapted case: 295,671 tetrahedra

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/GPD_H_up.nrrd --image-segmentation --linear-interpolation --output ./GPD_H_up,d=1,uniform.vtk

Adapted :Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/GPD_H_up.nrrd --cnf --weight-limit 0.1 --min-edge 1 --output ./GPD_H_up,d=5,wl=0.1,me=1.vtk

OBS_ALU

Input distribution size : 1,000,000 cells
Uniform case: tetrahedra
Adapted case: tetrahedra

[[File:|500px|]]

OBS ALU,d=1,bg=0,uniform.png

Commands to generate meshes :

Uniform : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/OBS_ALU.nrrd --image-segmentation --background-value 0 --linear-interpolation --output ./OBS_ALU,d=1,bv=0,uniform.vtk

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/DATA_04252019/OBS_ALU.nrrd --cnf --background-value 0 --weight-limit 0.07 --min-edge 1 --output ./OBS_ALU,d=5,bv=0,wl=0.07,me=1.vtk

phase_space_000

Input distribution size : 1,000,000 cells
Uniform case: tetrahedra
Adapted case: tetrahedra

[[File:|500px|]]

Commands to generate meshes :

Uniform : [ Output Mesh]

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/phase_space_000/phase_space_000.nrrd --image-segmentation --background-value 0 --linear-interpolation --output

Adapted : Output Mesh

docker run -v $(pwd):/data/ crtc_i2m podm3d --input ./CNF_Data/3D/phase_space_000/phase_space_000.nrrd --delta 1.5 --cnf --background-value 0 --weight-limit 0.005 --min-edge 1 --output ./phase_space_000,d=1.5,bv=0,wl=0.005,me=1.vtk

CNF Example Meshes

Contents

2D Example Meshes

Synthetic Gaussian Data

GPDGK16Numerical_140519

NT_140519

OBS_ALU_Y50

3D Example Meshes

CFF_14052019

GPDGK16Numerical_140519

GPDMMS13_140519

GPDVGG99_140519

NT_140519

OBS_ALU_140519

OBS_CS_140519

CFF_DATA

cff_E.data_IM

cff_E.data_REAL

cff_H.data_IM

cff_H.data_REAL

cff_Ht.data_IM

cff_Ht.data_REAL

DATA_04252019

CFF_E_im

CFF_E_re

CFF_H_im

CFF_H_re

GPD_H_down

GPD_H_up

OBS_ALU

phase_space_000

phase_space_000

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