Constructing a 3D object, not a surface, in R
I want to build a 3D image of an anatomical structure with color gradation based on Z
-value
I was looking for preliminary help on this topic, eg. on 3D surfaces here , here, and here , but this all seems to be about evenly spaced datasets X
and Y
. In addition, none of the surfaces appear to be around them.
In the dataset I'm dealing with (example below), only the values are X
evenly distributed.
Data notes:
- Comes from magnetic resonance imaging of anatomical structure images. Thus,
X
is the image number. -
X
,Y
,Z
Contains the coordinates of each point. -
Strand
can be used to define wire mesh:-
X
increases monotonically from left to right from the anatomical structure. - For each,
X
there are 12Strand
that go from one image (X
) to the next. - The number
Strand
runs clockwise starting at 1 and then up to 12 to form a polygon. - So
Strand
12 is right next toStrand
1. - The image at the very bottom shows how the numbers are
Strand
displayed in eachX
(image).
-
Does anyone have any experience? Or does it just not work in R?
X Y Z Strand
1 179.3 213.8 1
1 184.1 213.8 2
1 188.8 213.8 3
1 195.9 214.9 4
1 200.7 214.9 5
1 200.7 216.1 6
1 201.9 219.7 7
1 195.9 220.9 8
1 190.0 220.9 9
1 182.9 222.1 10
1 178.1 223.3 11
1 178.1 217.3 12
2 176.6 213.8 1
2 182.3 213.8 2
2 190.6 213.8 3
2 196.8 214.0 4
2 201.6 214.0 5
2 203.4 216.1 6
2 203.7 218.8 7
2 197.7 220.9 8
2 190.0 221.8 9
2 182.0 223.0 10
2 176.3 224.1 11
2 175.5 218.2 12
3 175.2 213.8 1
3 181.1 213.8 2
3 190.6 213.2 3
3 197.7 213.2 4
3 203.1 213.2 5
3 204.3 215.5 6
3 204.3 217.9 7
3 198.3 220.3 8
3 190.6 222.7 9
3 181.7 223.3 10
3 175.2 224.4 11
3 174.0 219.1 12
4 173.7 214.0 1
4 180.2 213.8 2
4 189.4 212.6 3
4 197.4 212.6 4
4 204.3 212.6 5
4 204.5 214.9 6
4 204.5 217.3 7
4 198.6 219.7 8
4 191.2 223.5 9
4 181.1 223.5 10
4 174.0 224.7 11
4 173.1 219.7 12
5 171.0 214.9 1
5 179.3 213.8 2
5 187.6 212.6 3
5 194.8 212.6 4
5 204.3 212.6 5
5 205.4 214.9 6
5 205.4 217.3 7
5 199.5 219.7 8
5 191.2 224.4 9
5 179.3 224.4 10
5 172.2 225.6 11
5 172.2 219.7 12
6 171.0 214.0 1
6 178.4 213.8 2
6 187.6 211.7 3
6 197.4 211.7 4
6 205.1 212.6 5
6 205.4 214.9 6
6 206.3 217.3 7
6 199.5 219.7 8
6 191.2 224.4 9
6 180.2 224.4 10
6 172.2 226.5 11
6 171.3 219.7 12
7 169.8 214.3 1
7 176.3 213.8 2
7 187.0 211.4 3
7 196.5 211.4 4
7 205.4 212.6 5
7 206.0 214.9 6
7 206.0 217.3 7
7 199.5 219.1 8
7 190.6 224.4 9
7 179.3 224.4 10
7 171.0 226.2 11
7 169.8 219.7 12
8 168.6 214.6 1
8 174.9 213.8 2
8 186.1 211.1 3
8 194.8 211.4 4
8 205.4 212.9 5
8 206.3 214.9 6
8 205.4 217.3 7
8 198.9 218.8 8
8 190.0 224.4 9
8 177.8 224.7 10
8 169.5 225.9 11
8 168.6 219.7 12
9 168.6 213.8 1
9 175.8 213.8 2
9 185.3 210.2 3
9 194.8 211.4 4
9 205.4 213.8 5
9 205.4 214.9 6
9 205.4 217.3 7
9 197.1 219.7 8
9 190.0 224.4 9
9 176.9 225.6 10
9 168.6 226.8 11
9 168.6 219.7 12
10 168.6 212.9 1
10 175.8 212.9 2
10 187.0 210.2 3
10 195.6 211.4 4
10 203.7 212.9 5
10 205.4 214.9 6
10 205.4 217.3 7
10 196.2 219.7 8
10 189.1 224.4 9
10 176.0 224.7 10
10 169.5 226.8 11
10 168.6 219.7 12
11 168.6 212.6 1
11 175.8 212.6 2
11 187.6 210.2 3
11 195.9 211.4 4
11 203.7 212.6 5
11 205.4 214.9 6
11 205.4 217.3 7
11 195.9 219.7 8
11 188.2 225.0 9
11 176.3 225.0 10
11 169.8 226.8 11
11 168.6 219.1 12
12 169.2 212.6 1
12 176.3 212.9 2
12 187.9 210.2 3
12 196.2 211.7 4
12 204.3 212.6 5
12 205.1 214.9 6
12 205.4 217.3 7
12 196.5 219.7 8
12 187.9 225.3 9
12 176.9 225.3 10
12 169.8 226.8 11
12 168.9 218.5 12
13 171.0 212.6 1
13 178.1 213.8 2
13 188.8 210.2 3
13 197.1 212.6 4
13 204.3 212.6 5
13 204.3 214.9 6
13 205.4 217.3 7
13 198.3 219.7 8
13 188.8 224.4 9
13 176.9 224.4 10
13 169.8 226.8 11
13 169.8 218.5 12
14 171.0 212.6 1
14 176.3 213.8 2
14 187.9 211.1 3
14 198.9 212.6 4
14 204.3 213.5 5
14 205.1 215.8 6
14 205.4 218.2 7
14 198.3 219.7 8
14 189.7 224.4 9
14 177.8 225.3 10
14 170.7 226.8 11
14 170.7 219.4 12
15 171.6 212.6 1
15 176.3 213.8 2
15 188.2 211.4 3
15 198.3 212.0 4
15 204.3 213.2 5
15 205.4 215.5 6
15 205.4 217.9 7
15 198.9 219.1 8
15 190.0 225.0 9
15 177.5 225.6 10
15 171.0 226.2 11
15 171.0 219.1 12
16 172.2 212.9 1
16 177.2 214.0 2
16 189.1 211.4 3
16 197.1 211.7 4
16 203.7 212.6 5
16 205.1 214.9 6
16 205.1 217.6 7
16 199.2 218.8 8
16 190.0 225.3 9
16 177.2 225.3 10
16 171.3 225.9 11
16 171.3 218.5 12
17 172.2 213.8 1
17 178.1 214.9 2
17 190.0 211.4 3
17 197.1 212.6 4
17 201.9 212.6 5
17 204.3 214.9 6
17 204.3 218.5 7
17 198.3 219.7 8
17 190.0 224.4 9
17 178.1 224.4 10
17 172.2 226.8 11
17 172.2 218.5 12
18 174.0 213.8 1
18 179.0 214.9 2
18 189.1 213.2 3
18 196.2 213.5 4
18 201.9 213.5 5
18 203.4 215.8 6
18 203.4 218.5 7
18 197.4 220.6 8
18 190.0 224.4 9
18 179.9 224.4 10
18 173.1 225.9 11
18 173.1 218.5 12
19 175.8 213.8 1
19 181.1 214.9 2
19 190.0 213.8 3
19 196.5 213.8 4
19 201.3 213.8 5
19 201.9 216.7 6
19 201.9 219.7 7
19 196.5 222.1 8
19 189.4 224.4 9
19 182.3 224.4 10
19 175.8 225.0 11
19 175.2 218.5 12
20 178.1 214.0 1
20 183.5 214.9 2
20 190.9 214.0 3
20 195.9 214.0 4
20 199.5 214.0 5
20 200.1 217.3 6
20 200.4 220.6 7
20 195.6 223.3 8
20 189.1 224.1 9
20 184.4 224.1 10
20 178.7 224.4 11
20 177.8 218.2 12
21 181.7 214.9 1
21 185.3 214.9 2
21 190.0 214.9 3
21 192.4 214.9 4
21 195.9 214.9 5
21 198.3 217.3 6
21 199.5 219.7 7
21 194.8 223.3 8
21 190.0 223.3 9
21 185.3 223.3 10
21 180.5 224.4 11
21 180.5 217.3 12
For any given image ( X
) 12 separate Y
and Z
define the outer surface of the structure and are ordered around the structure:
number" data-src="/img/96f658d77b471606b9add7151b9a5bd6.jpg" class=" lazyloaded" src="https://fooobar.com//img/96f658d77b471606b9add7151b9a5bd6.jpg">
For X
= 2 and Strand
= 1, surface triangles can be defined as points located at a point:
-
Triangle
-
X
= 2,Strand
= 1 -
X
= 2,Strand
= 2 -
X
= 3,Strand
= 1
-
-
Triangle
-
X
= 2,Strand
= 1 -
X
= 1,Strand
= 2 -
X
= 1,Strand
= 1
-
-
Triangle
-
X
= 2,Strand
= 1 -
X
= 2,Strand
= 12 -
X
= 3,Strand
= 1
-
-
Triangle
-
X
= 2,Strand
= 1 -
X
= 2,Strand
= 12 -
X
= 1,Strand
= 1
-
X
of 1 (first image) and 12 (last image) would be a different setup, just because they form the left and right "walls" of the object.
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