Splitting proximate algorithm (SPA) for deformable image registration based on functions of bounded deformation.
Sign Up to like & getrecommendations! Published in 2022 at "Medical physics"
DOI: 10.1002/mp.15721
Abstract: BACKGROUND Deformable image registration is a crucial task in the field of medical image analysis. Functions of bounded deformation (BD) have been proved effective for modeling the displacement fields between medical images since they can… read more here.
Keywords: bounded deformation; deformation; registration; algorithm ... See more keywords
On Subadditive Functions Bounded Above on a “Large” Set
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DOI: 10.1007/s00025-020-01186-4
Abstract: It is well known that boundedness of a subadditive function need not imply its continuity. Here we prove that each subadditive function $$f:X\rightarrow {\mathbb {R}}$$ f : X → R bounded above on a shift–compact (non–Haar–null,… read more here.
Keywords: subadditive functions; functions bounded; bounded large; large set ... See more keywords
Mimetic properties of difference operators: product and chain rules as for functions of bounded variation and entropy stability of second derivatives
Sign Up to like & getrecommendations! Published in 2018 at "BIT Numerical Mathematics"
DOI: 10.1007/s10543-018-0736-7
Abstract: For discretisations of hyperbolic conservation laws, mimicking properties of operators or solutions at the continuous (differential equation) level discretely has resulted in several successful methods. While well-posedness for nonlinear systems in several space dimensions is… read more here.
Keywords: chain rules; bounded variation; mimetic properties; second derivatives ... See more keywords
On some nonlinear operators in $${\varvec{\Lambda }} {\varvec{BV}}$$ΛBV-spaces
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0450-0
Abstract: In this paper we investigate autonomous as well as nonautonomous superposition operators acting between spaces of functions of bounded $$\Lambda $$Λ-variation. A particular emphasis is put on acting conditions as well as on continuity problems… read more here.
Keywords: nonlinear operators; lambda variation; functions bounded; operators varvec ... See more keywords
Hornich Operations on Functions of Bounded Boundary Rotations and Order $$\alpha $$α
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DOI: 10.1007/s40315-019-00276-x
Abstract: In this paper, we consider the class of functions of bounded boundary rotation and some generalizations and refinements of the class. We will see that several results can be understood more naturally by introducing the… read more here.
Keywords: bounded boundary; functions bounded; hornich operations; rotations order ... See more keywords
Approximation of m-subharmonic functions on bounded domains in Cn
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.05.050
Abstract: Abstract Let D be a bounded domain in C n . We study approximation of (not necessarily bounded from above) m-subharmonic function D by continuous m-subharmonic ones defined on neighborhoods of D ‾ . We… read more here.
Keywords: approximation subharmonic; bounded domains; functions bounded; function ... See more keywords
Integral Representation of Functions of Bounded Variation
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DOI: 10.1155/2019/1065946
Abstract: Functions of bounded variations form important transition between absolute continuous and singular functions. With Bainov’s introduction of impulsive differential equations having solutions of bounded variation, this class of functions had eventually entered into the theory… read more here.
Keywords: bounded variation; variation; functions bounded; absolute continuous ... See more keywords
On functions of bounded β-dimensional mean oscillation
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DOI: 10.1515/acv-2022-0084
Abstract: Abstract In this paper, we define a notion of β-dimensional mean oscillation of functions u : Q 0 ⊂ ℝ d → ℝ {u:Q_{0}\subset\mathbb{R}^{d}\to\mathbb{R}} which are integrable on β-dimensional subsets of the cube Q 0… read more here.
Keywords: dimensional mean; beta; mean oscillation; bounded dimensional ... See more keywords
Some Bounds for the Complex Čebyšev Functional of Functions of Bounded Variation
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DOI: 10.3390/sym13060990
Abstract: In this paper, we provide several bounds for the modulus of the complex Čebyšev functional. Applications to the trapezoid and mid-point inequalities, that are symmetric inequalities, are also provided. read more here.
Keywords: bounded variation; functional functions; complex eby; functions bounded ... See more keywords