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The tomographic Alcock-Paczynski(AP) method, developed over the past decade, exploits redshift evolution for cosmological determination, aiming to mitigate contamination from redshift distortions and capture nonlinear scale information.…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-20 Liang Xiao , Limin Lai , Zhujun Jiang , Xiao-Dong Li , Le Zhang

The local Minkowski tensors are valuations on the space of convex bodies in Euclidean space with values in a space of tensor measures. They generalize at the same time the intrinsic volumes, the curvature measures and the isometry covariant…

Metric Geometry · Mathematics 2014-05-07 Daniel Hug , Rolf Schneider

The mechanical properties of collagen fibrils depend on the amount and the distribution of water molecules within the fibrils. Here, we use atomic force microscopy (AFM) to study the effect of hydration on the viscoelastic properties of…

Soft Condensed Matter · Physics 2019-10-03 Manuel R. Uhlig , Robert Magerle

We pursue a novel morphometric analysis to detect sources in very-high-energy gamma-ray counts maps by structural deviations from the background noise without assuming any prior knowledge about potential sources. The rich and complex…

Instrumentation and Methods for Astrophysics · Physics 2017-10-11 Michael A. Klatt , Klaus Mecke

We demonstrate an atomic force microscopy based method for estimation of defect density by identification of threading dislocations on a non-flat surface resulting from metamorphic growth. The discussed technique can be applied as an…

Materials Science · Physics 2015-06-08 Agnieszka Gocalinska , Marina Manganaro , Valeria Dimastrodonato , Emanuele Pelucchi

Structural and mechanical differences between cancerous and healthy tissue give rise to variations in macroscopic properties such as visual appearance and elastic modulus that show promise as signatures for early cancer detection. Atomic…

We determine the Minkowski functionals for a sample of Abell/ACO clusters, 401 with measured and 16 with estimated redshifts. The four Minkowski functionals (including the void probability function and the mean genus) deliver a global…

The local structure of a protein strongly impacts its function and interactions with other molecules. Therefore, a concise, informative representation of a local protein environment is essential for modeling and designing proteins and…

Few-layer black phosphorus was recently rediscovered as a narrow-bandgap atomically thin semiconductor and has already attracted unprecedented attention due to its interesting properties. One feature of this material that sets it apart from…

Mesoscale and Nanoscale Physics · Physics 2017-04-04 Artem Mishchenko , Yang Cao , Geliang Yu , Colin R. Woods , Roman V. Gorbachev , Kostya S. Novoselov , Andre K. Geim , Leonid S. Levitov

Diffusion MRI (dMRI) tractography is currently the only method for in vivo mapping of the brain's white matter (WM) connections. Tractometry is an advanced tractography analysis technique for along-tract profiling to investigate the…

Quantitative Methods · Quantitative Biology 2026-01-29 Ruixi Zheng , Wei Zhang , Yijie Li , Xi Zhu , Zhou Lan , Jarrett Rushmore , Yogesh Rathi , Nikos Makris , Lauren J. O'Donnell , Fan Zhang

Atomic Force Microscopy (AFM) allows to reconstruct the topography of surface with a resolution in the nanometer range. The exceptional resolution attainable with the AFM makes this instrument a key tool in nanoscience and technology. The…

The local geometrical randomness of metal foams brings complexities to the performance prediction of porous structures. Although the relative density is commonly deemed as the key factor, the stochasticity of internal cell sizes and shapes…

Machine Learning · Computer Science 2022-11-04 Da Chen , Nima Emami , Shahed Rezaei , Philipp L. Rosendahl , Bai-Xiang Xu , Jens Schneider , Kang Gao , Jie Yang

The three Minkowski functionals and the recently defined length of the skeleton are estimated for the co-added first-year Wilkinson Microwave Anisotropy Probe (WMAP) data and compared with 5000 Monte Carlo simulations, based on Gaussian…

Astrophysics · Physics 2008-11-26 H. K. Eriksen , D. I. Novikov , P. B. Lilje , A. J. Banday , K. M. Gorski

We apply the Minkowski Tensor statistics to two dimensional slices of the three dimensional density field. The Minkowski Tensors are a set of functions that are sensitive to directionally dependent signals in the data, and furthermore can…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-23 Stephen Appleby , Pravabati Chingangbam , Changbom Park , Sungwook E. Hong , Juhan Kim , Vidhya Ganesan

Skeletal muscles are organized into distinct layers and exhibit anisotropic characteristics across various scales. Assessing the arrangement of skeletal muscles may provide valuable biomarkers for diagnosing muscle related pathologies and…

The functional properties of many technological surfaces in biotechnology, electronics, and mechanical engineering depend to a large degree on the individual features of their nanoscale surface texture, which in turn are a function of the…

Mapping tissue microstructure accurately and noninvasively is one of the frontiers of biomedical imaging. Diffusion Magnetic Resonance Imaging (MRI) is at the forefront of such efforts, as it is capable of reporting on microscopic…

Medical Physics · Physics 2019-03-26 Noam Shemesh

Vessel segmentation is crucial in many medical image applications, such as detecting coronary stenoses, retinal vessel diseases and brain aneurysms. However, achieving high pixel-wise accuracy, complete topology structure and robustness to…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Tianyi Shi , Xiaohuan Ding , Wei Zhou , Feng Pan , Zengqiang Yan , Xiang Bai , Xin Yang

There has been increasing experimental evidence of non-affine elastic deformation mechanisms in biological soft tissues. These observations call for novel constitutive models which are able to describe the dominant underlying…

Computational Physics · Physics 2021-03-04 Sebastian Skatulla , Carlo Sansour , Georges Limbert