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Rock mass joint set identification at Draa Sfar mine in Morocco through stereographic projection and K-means clustering
Rock mass joint set identification, crucial for geological and geotechnical studies, is often based on stereographic projection. However, the related...
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Rock Mass Joint Sets Identification Through Stereographic Projection and Unsupervised Learning: A Comparative Study
Geological and geotechnical studies have been usually based on experimentation, analytical analysis, graphical representations, and numerical... -
Applying inverse stereographic projection to manifold learning and clustering
In machine learning, a data set is often viewed as a point set distributed on a manifold. Using Euclidean norms to measure the proximity of this data...
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Interactive 4-D Visualization of Stereographic Images from the Double Orthogonal Projection
The double orthogonal projection of the 4-space onto two mutually perpendicular 3-spaces is a method of visualization of four-dimensional objects in... -
Objective analysis of perfluoropropane tamponade area after pars plana vitrectomy using ultra-widefield fundus stereographic projection images
To objectively analyze the gas tamponade area in patients with different concentrations of perfluoropropane (C 3 F 8 ) after pars plana vitrectomy (PPV),...
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RepF-Net: Distortion-Aware Re-projection Fusion Network for Object Detection in Panorama Image
Panorama image has a large 360 \(^{\circ }\)... -
On the Geographical Projection of the Surface of the Sphere
In this memoir, Euler studies angle-preserving maps. In particular, he develops the differential geometry of the stereographic projection. -
Stereographic Projection and Inversions
It is impossible to map figures on the sphere onto congruent ones on the plane. Because the Earth is spherical, any flat representation of it causes... -
Ocean Sciences with the Spilhaus Projection: A Seamless Ocean Map for Spatial Data Recognition
The ocean, as a vast interconnected body of water on Earth, plays an essential role in Earth’s planetary dynamics, climate change, and the evolution...
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Determining the inclination angles of anchor bolts for sliding and toppling failures: a case study of İzmir, Türkiye
When anchors are installed along or close to discontinuity surfaces in a jointed rock slope, it is very difficult for them to bond to the rock mass....
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Circles, Spheres and Spherical Geometry
This textbook focuses on the geometry of circles, spheres, and spherical geometry. Various classic themes are used as introductory and motivating...
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Map** Philosophy: Peirce’s Quincuncial Projection
From very early on in his career both as a scientist and as a philosopher, Peirce paid close attention to the role played in cognition by maps. For... -
Proposal for a Unique Cartographic Projection System for the Galapagos Islands in Order to Generate Cartography at Large Scales
The conservation of Galapagos is a priority component in Ecuador's territorial planning and administration policy, because it is a world benchmark... -
Magnon Topological Transition in Skyrmion Crystal
We study the magnon spectrum in skyrmion crystal formed in thin ferromagnetic films with Dzyaloshinskii–Moriya interaction in presence of magnetic...
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Parametric generation of optimal structures through discrete exponential functions: unveiling connections between structural optimality and discrete isothermicity
This study discusses an equilibrium state of structures endowed with integrability and relates the structural optimality for Michell’s classic...
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Investigation of wedge sliding potential using different methods in two open pit albite mines excavated in gneiss in western Türkiye
The wedge failures in open pit mines are of great importance for bench configuration in jointed rock masses. This study initially determined 14...