Area preserving maps and volume preserving maps between a class of polyhedrons and a sphere
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-016-9502-z
Abstract: We construct a bijective continuous area preserving map from a class of elongated dipyramids to the sphere, together with its inverse. Then we investigate for which such solid polyhedrons the area preserving map can be… read more here.
Keywords: class; preserving maps; area preserving; volume preserving ... See more keywords
Topological Disk Mesh Morphing Based on Area-Preserving Parameterization
Sign Up to like & getrecommendations! Published in 2018 at "Wuhan University Journal of Natural Sciences"
DOI: 10.1007/s11859-018-1311-4
Abstract: Mesh morphing is a technique which gradually deforms a mesh into another one. Mesh parameterization, a powerful tool adopted to establish the one-to-one correspondence map between different meshes, is of great importance in 3D mesh… read more here.
Keywords: area preserving; mesh morphing; parameterization; preserving parameterization ... See more keywords
Birkhoff averages and rotational invariant circles for area-preserving maps
Sign Up to like & getrecommendations! Published in 2020 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2020.132569
Abstract: Abstract Rotational invariant circles of area-preserving maps are an important and well-studied example of KAM tori. John Greene conjectured that the locally most robust rotational circles have rotation numbers that are noble, i.e., have continued… read more here.
Keywords: area preserving; preserving maps; invariant circles; rotational invariant ... See more keywords
Proof of the transverse intersection of the stable and unstable manifolds in the two-dimensional area preserving map
Sign Up to like & getrecommendations! Published in 2023 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptad060
Abstract: In this paper, we study the area preserving map T included in the Hénon family of maps. The map T defined on the plane is characterized by a parameter a( ≥ 0). There exist the… read more here.
Keywords: intersection; preserving map; area preserving; proof transverse ... See more keywords
Area-Preserving Mapping of 3D Carotid Ultrasound Images Using Density-Equalizing Reference Map
Sign Up to like & getrecommendations! Published in 2020 at "IEEE Transactions on Biomedical Engineering"
DOI: 10.1109/tbme.2019.2963783
Abstract: Atherosclerotic plaques are focal and tend to occur at arterial bends and bifurcations. To quantitatively monitor the local changes in the carotid vessel-wall-plus-plaque thickness (VWT) and compare the VWT distributions for different patients or for… read more here.
Keywords: area; reference map; carotid; density equalizing ... See more keywords
Records and Occupation Time Statistics for Area-Preserving Maps
Sign Up to like & getrecommendations! Published in 2023 at "Entropy"
DOI: 10.3390/e25020269
Abstract: A relevant problem in dynamics is to characterize how deterministic systems may exhibit features typically associated with stochastic processes. A widely studied example is the study of (normal or anomalous) transport properties for deterministic systems… read more here.
Keywords: time; preserving maps; area preserving; occupation time ... See more keywords