Algebraic Filtering of Surfaces from 3D Medical Images with Julia
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11140%2F20%3A10417891" target="_blank" >RIV/00216208:11140/20:10417891 - isvavai.cz</a>
Alternative codes found
RIV/00669806:_____/20:10417891 RIV/49777513:23520/21:43959834
Result on the web
<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=wOR5Q-Fsej" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=wOR5Q-Fsej</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.14733/cadaps.2021.468-485" target="_blank" >10.14733/cadaps.2021.468-485</a>
Alternative languages
Result language
angličtina
Original language name
Algebraic Filtering of Surfaces from 3D Medical Images with Julia
Original language description
In this paper we introduce a novel algebraic filter, based on algebraic topology methods, to extract and smooth the boundary surface of any subset of voxels arising from the segmentation of a 3D medical image. The input of the Linear Algebraic Representation (lar) Surface extraction filter (lar-surf) is defined as a chain, i.e., an element of a linear space of chains here subsets of voxels represented in coordinates as a sparse binary vector. The output is produced by a linear mapping between spaces of 3-and 2-chains, given by the boundary operator d3: C3 -> C2. The only data structures used in this approach are sparse arrays with one or two indices, i.e., sparse vectors and sparse matrices. This work is based on lar algebraic methods and is implemented in Julia language, natively supporting parallel computing on hybrid hardware architectures.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
30502 - Other medical science
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Computer-Aided Design and Applications
ISSN
1686-4360
e-ISSN
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Volume of the periodical
18
Issue of the periodical within the volume
3
Country of publishing house
US - UNITED STATES
Number of pages
18
Pages from-to
468-485
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85090491619