We study the Legendre ellipsoid and the LYZ ellipsoid.First,we give a direct proof of the Cramer-Rao inequality for convex bodies.Second,we prove that origin-centered ellipsoids are the only convex bodies with identic...
supported by the National Natural Science Foundation of China(Nos.32171789,32211530031,12411530088);the National Key Research and Development Program of China(No.2023YFF1303901);the Joint Open Funded Project of State Key Laboratory of Geo-Information Engineering and Key Laboratory of the Ministry of Natural Resources for Surveying and Mapping Science and Geo-spatial Information Technology(2022-02-02);Background Resources Survey in Shennongjia National Park(SNJNP2022001);the Open Project Fund of Hubei Provincial Key Laboratory for Conservation Biology of Shennongjia Snub-nosed Monkeys(SNJGKL2022001).
Terrestrial laser scanning(TLS)accurately captures tree structural information and provides prerequisites for treescale estimations of forest biophysical attributes.Quantifying tree-scale attributes from TLS point clo...
Rock fracture mechanics and accurate characterization of rock fracture are crucial for understanding a variety of phenomena interested in geological engineering and geoscience.These phenomena range from very large-sca...
Project supported by the National Natural Science Foundation of China(Grant Nos.12372251 and 12132015);the Fundamental Research Funds for the Provincial Universities of Zhejiang(Grant No.2023YW69).
The Brownian motion of spherical and ellipsoidal self-propelled particles was simulated without considering the effect of inertia and using the Langevin equation and the diffusion coefficient of ellipsoidal particles ...
the Science and Technology Research Program of Shenzhen(Nos.JCYJ20200109142820687 and JCYJ20210324120012035);the Cross-research Innovation Fund of the International Graduate School at Shenzhen,Tsinghua University(No.JC2021002);the Russian Science Foundation(No.23-14-00287).
A Mueller matrix covers all the polarization information of the measured sample,however the combination of its 16 elements is sometimes not intuitive enough to describe and identify the key characteristics of polariza...
Due to the importance of Critical Infrastructure(Cl)in a nation's economy,they have been lucrative targets for cyber attackers.These critical infrastructures are usually Cyber-Physical Systems such as power grids,wate...
.Abstracting eye models from MRI images is critical in advancing medical imaging, particularly for clinical diagnostics. Current methods often struggle with accuracy and efficiency, highlighting a gap this research ai...
supported by National Natural Science Foundation of China (Grant No. 62073081);Project Op Medibot, FEDER Medibot, and China Scholarship Council (Grant No. 202106160022)
The objective of the invariant ellipsoid method is to minimize the smallest invariant and attractive set of a linear control system operating under the influence of bounded external disturbances. This study extends th...
supported by the National Natural Science Foundation of China(Grant 52175236).
This paper proposes a multi-material topology optimization method based on the hybrid reliability of the probability-ellipsoid model with stress constraint for the stochastic uncertainty and epistemic uncertainty of m...
supported in part by the National Natural Science Foun-dation of China(51975236);the National Key Research and Development Program of China(2018YFA0703203);the Innovation Project of Optics Valley Laboratory(OVL2021BG007)。
The sampling process is very inefficient for sam-pling-based motion planning algorithms that excess random sam-ples are generated in the planning space.In this paper,we pro-pose an adaptive space expansion(ASE)approac...