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Convergence of Dirichlet Energy Minimization for Spherical Conformal Parameterizations
In this paper, we first derive a theoretical basis for spherical conformal parameterizations between a simply connected closed surface
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Some considerations on the role of joint spacing in rock slope stability analyses using a 3D discrete element approach
Stability assessment of potential wedge failures in rock slopes is usually carried out based on stereographic projection techniques and limit...
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Polyhedral Transformation Based on Confocal Quadratic Surface Properties. Graphical Speculations
Several procedures are presented that allow us to discretize a rotational quadratic surface in a simple way while fulfilling various geometric...
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Growth, electrical, electronic, NLO, spectral, SEM studies of LA crystals of macro, micro-scales for utilization in devices, displays and in micro-photonics
The L-Alanine (LA) crystals are grown using slow evaporation method with the cell dimensions as a = 5.7780(5) Å; b = 6.0284(6) Å; c = 12.3237(12) Å....
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Point Symmetry
The concept of point group is defined, and the wo-dimensional point groups and three-dimensional groups are presented as the groups of...
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Projections
Conical orthomorphic projection on the sphere.
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SPNet: Deep 3D Object Classification and Retrieval Using Stereographic Projection
We propose an efficient Stereographic Projection Neural Network (SPNet) for learning representations of 3D objects. We first transform a 3D input...
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Context-Dependent Parameter Sensitivities in Rock Slope Stability
AbstractContext-dependent sensitivities of parameters and reliability-based design (RBD) of rock slopes are the subjects of this paper. The...
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Projections and Grids
Having discussed the concept of geodesy in Chap. 3 , it is necessary to discuss the next step which...
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The Convergence of Discrete Uniformizations for Genus Zero Surfaces
The notion of discrete conformality proposed by Luo (2004) and Bobenko et al. (2015) on triangle meshes has rich mathematical theories and wide...
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DEM Simulation of the Bridge Collapse under the Impact of Rock Avalanche: A Case Study of the 2020 Yaoheba Rock Avalanche in Southwest China
Mountainous regions present severe risks, including damage to transportation infrastructure, due to the occurrence of geohazards such as rock...
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A hyperbolic Kac-Moody Calogero model
A new kind of quantum Calogero model is proposed, based on a hyperbolic Kac-Moody algebra. We formulate nonrelativistic quantum mechanics on the...
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Python-Based Open-Source Tool for Automating Seleno-Referencing of Chandrayaan-2 Hyper-Spectral Data Cubes
ISRO’s Imaging InfraRed Spectrometer (IIRS) onboard Chandrayaan-2 is relatively the most advanced spectrometer in the lunar orbit till date. IIRS...
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Referencing and Coordinate Systems in GIS
The fundamental requirement of Geographic Information Systems (GIS) is the use of spatially aligned map layers. If they do not, obvious errors can...
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A new approach for evaluation of slope stability in large open-pit mines: a case study at the Dexing Copper Mine, China
The slope stability has already become one of the most important factors directly related to the safety production and development of a mine, which...
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Holomorphic representation of minimal surfaces in simply isotropic space
It is known that minimal surfaces in Euclidean space can be represented in terms of holomorphic functions. For example, we have the well-known...
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A novel conformal deformation based sparse subspace clustering
Sparse Subspace Clustering (SSC) methods based on variant norms have attracted significant attention due to their empirical success. However, SSC...
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Regression Models for Directional Variables
The statistical analysis of directional random variables requires different techniques than the linear random variables due to the difference...
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