Matches in SemOpenAlex for { <https://semopenalex.org/work/W4303182565> ?p ?o ?g. }
Showing items 1 to 68 of
68
with 100 items per page.
- W4303182565 endingPage "103" @default.
- W4303182565 startingPage "99" @default.
- W4303182565 abstract "The paper is devoted to the implementation of an algorithm for calculating the functionals of the Minkowski set in a three-dimensional digital space. The algorithm is based on the calculation of the values of these functionals for various types of node neighborhoods into which a set in a digital space can be divided. The concept of Minkowski functionals appeared in the theory of convex sets in n-dimensional Euclidean space; they are coefficients in the expansion of the volume function ε of a neighborhood of a convex set in powers of ε. Subsequently, it turned out that the concept of functionals can be generalized to the case of sets with singularities, including the case of a set in a digital space. Minkowski functionals of a digital image representing a union cubic voxel intersecting along edges and vertices are statistical measures based on the Euler-Poincare characteristic of n-dimen-sional space, show sensitivity to the morphology of disordered structures, which is confirmed by applied research. They are used in calculating density measures for a number of unordered microstructural models; particle-based models, amorphous microstructures, cellular and foamlike structures. The results of calculations for various microstructures demonstrate a number of qualitative characteristics.
 The paper studies the implementation of the algorithm for finding the Minkowski functionals for a set in a threedimensional digital space." @default.
- W4303182565 created "2022-10-07" @default.
- W4303182565 creator A5057249232 @default.
- W4303182565 creator A5080146317 @default.
- W4303182565 date "2022-09-09" @default.
- W4303182565 modified "2023-09-25" @default.
- W4303182565 title "On the Implementation of the Algorithm for Calculating the Functionals of Minkowski Three-Dimensional Digital Space" @default.
- W4303182565 cites W1995215698 @default.
- W4303182565 cites W578323415 @default.
- W4303182565 doi "https://doi.org/10.14258/izvasu(2022)4-15" @default.
- W4303182565 hasPublicationYear "2022" @default.
- W4303182565 type Work @default.
- W4303182565 citedByCount "0" @default.
- W4303182565 crossrefType "journal-article" @default.
- W4303182565 hasAuthorship W4303182565A5057249232 @default.
- W4303182565 hasAuthorship W4303182565A5080146317 @default.
- W4303182565 hasBestOaLocation W43031825651 @default.
- W4303182565 hasConcept C10233890 @default.
- W4303182565 hasConcept C111919701 @default.
- W4303182565 hasConcept C112680207 @default.
- W4303182565 hasConcept C11413529 @default.
- W4303182565 hasConcept C134306372 @default.
- W4303182565 hasConcept C157972887 @default.
- W4303182565 hasConcept C177264268 @default.
- W4303182565 hasConcept C186450821 @default.
- W4303182565 hasConcept C199360897 @default.
- W4303182565 hasConcept C202444582 @default.
- W4303182565 hasConcept C2524010 @default.
- W4303182565 hasConcept C2778572836 @default.
- W4303182565 hasConcept C33923547 @default.
- W4303182565 hasConcept C41008148 @default.
- W4303182565 hasConcept C49870271 @default.
- W4303182565 hasConcept C79464548 @default.
- W4303182565 hasConceptScore W4303182565C10233890 @default.
- W4303182565 hasConceptScore W4303182565C111919701 @default.
- W4303182565 hasConceptScore W4303182565C112680207 @default.
- W4303182565 hasConceptScore W4303182565C11413529 @default.
- W4303182565 hasConceptScore W4303182565C134306372 @default.
- W4303182565 hasConceptScore W4303182565C157972887 @default.
- W4303182565 hasConceptScore W4303182565C177264268 @default.
- W4303182565 hasConceptScore W4303182565C186450821 @default.
- W4303182565 hasConceptScore W4303182565C199360897 @default.
- W4303182565 hasConceptScore W4303182565C202444582 @default.
- W4303182565 hasConceptScore W4303182565C2524010 @default.
- W4303182565 hasConceptScore W4303182565C2778572836 @default.
- W4303182565 hasConceptScore W4303182565C33923547 @default.
- W4303182565 hasConceptScore W4303182565C41008148 @default.
- W4303182565 hasConceptScore W4303182565C49870271 @default.
- W4303182565 hasConceptScore W4303182565C79464548 @default.
- W4303182565 hasIssue "4(126)" @default.
- W4303182565 hasLocation W43031825651 @default.
- W4303182565 hasOpenAccess W4303182565 @default.
- W4303182565 hasPrimaryLocation W43031825651 @default.
- W4303182565 hasRelatedWork W1965199369 @default.
- W4303182565 hasRelatedWork W1966511180 @default.
- W4303182565 hasRelatedWork W1989506664 @default.
- W4303182565 hasRelatedWork W2004041003 @default.
- W4303182565 hasRelatedWork W2067306417 @default.
- W4303182565 hasRelatedWork W2091256942 @default.
- W4303182565 hasRelatedWork W2099361972 @default.
- W4303182565 hasRelatedWork W2963547337 @default.
- W4303182565 hasRelatedWork W3101108711 @default.
- W4303182565 hasRelatedWork W2525227673 @default.
- W4303182565 isParatext "false" @default.
- W4303182565 isRetracted "false" @default.
- W4303182565 workType "article" @default.