Abstract
We introduce methods for approximating area of a surface and volume of a region whose boundary is a closed surface where the data are taken from a 3-dimensional lattice of gray scale values. The methods require construction of unit normal vectors for the sampled surface points. The volume can be approximated by using these normal vectors in the divergence theorem from calculus. Two major advantages for this new method are that no geometric ordering of data points is required and that the algorithms are easily implemented. We compare the method to standard algorithms for measuring surface area and volume, using both artificially created data and actual data obtained from a computed tomography scanner.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 550-562 |
| Number of pages | 13 |
| Journal | CVGIP: Graphical Models and Image Processing |
| Volume | 53 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1991 |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
On gray scale image measurements. II. Surface area and volume. / Eberly, David; Lancaster, Jack L; Alyassin, Abdalmajeid.
In: CVGIP: Graphical Models and Image Processing, Vol. 53, No. 6, 1991, p. 550-562.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - On gray scale image measurements. II. Surface area and volume
AU - Eberly, David
AU - Lancaster, Jack L
AU - Alyassin, Abdalmajeid
PY - 1991
Y1 - 1991
N2 - We introduce methods for approximating area of a surface and volume of a region whose boundary is a closed surface where the data are taken from a 3-dimensional lattice of gray scale values. The methods require construction of unit normal vectors for the sampled surface points. The volume can be approximated by using these normal vectors in the divergence theorem from calculus. Two major advantages for this new method are that no geometric ordering of data points is required and that the algorithms are easily implemented. We compare the method to standard algorithms for measuring surface area and volume, using both artificially created data and actual data obtained from a computed tomography scanner.
AB - We introduce methods for approximating area of a surface and volume of a region whose boundary is a closed surface where the data are taken from a 3-dimensional lattice of gray scale values. The methods require construction of unit normal vectors for the sampled surface points. The volume can be approximated by using these normal vectors in the divergence theorem from calculus. Two major advantages for this new method are that no geometric ordering of data points is required and that the algorithms are easily implemented. We compare the method to standard algorithms for measuring surface area and volume, using both artificially created data and actual data obtained from a computed tomography scanner.
UR - http://www.scopus.com/inward/record.url?scp=0026259002&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0026259002&partnerID=8YFLogxK
U2 - 10.1016/1049-9652(91)90005-5
DO - 10.1016/1049-9652(91)90005-5
M3 - Article
AN - SCOPUS:0026259002
VL - 53
SP - 550
EP - 562
JO - CVGIP: Graphical Models and Image Processing
JF - CVGIP: Graphical Models and Image Processing
SN - 1049-9652
IS - 6
ER -