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THE MAIN PORTAL OF THE CATHEDRAL OF MONREALE: FIRST GEOMETRIC ANALYSIS AND INTERPRETIVE ASSESSMENT OF ARCHITECTURAL FEATURES
Cultural Heritage Restoration Photogrammetry 3D survey 3D Modelling Monumental Portal
2017/6/20
Nowadays, 3D documentation of architectural assets is becoming a demanding task for the valorisation of Cultural Heritage especially after a restoration project. The 3D documentation can be used for d...
Geometric Analysis of Vexcel Imaging UltraCamX Test flights
Photogrammetry Digital Camera Calibration Triangulation
2015/11/23
In this paper we present the results of test flights performed with the large format digital photogrammetric camera system UltraCamX. Test flights are performed on a 5*7 sqkm large test site near Graz...
Multiscale Geometric Analysis for 3-D Catalogues
laments large scale structures galaxy distribution
2015/8/21
We have developed tools for analysis of 3-D volumetric data which allow sensitive characterizations of point
clouds containing ˉlamentary structures. Our approach involves multiscale X-ray transforms...
Geometric Analysis for the Metropolis Algorithm on Lipschitz Domains
Geometry comparison Steve Nash sobolev inequality the convergence rate
2015/7/7
This paper gives geometric tools: comparison, Nash and Sobolev inequalities for pieces of the relevent Markov operators, that give useful bounds on rates of convergence for the Metropolis algorithm. A...
A Geometric Analysis of Subspace Clustering with Outliers
Subspace clustering spectral clustering outlier detection `1 minimization duality in linear programming geometric functional analysis properties of convex bodies concentration of measure
2015/6/17
This paper considers the problem of clustering a collection of unlabeled data points assumed to lie near a union of lower dimensional planes. As is common in computer vision or unsupervised learning a...
Some geometric analysis on generic Ricci solitons
Ricci solitons X–Laplacian scalar curvature estimates maximum principles volume estimates
2011/9/6
Abstract: We study the geometry of complete generic Ricci solitons with the aid of some geometric-analytical tools extending techniques of the usual Riemannian setting.
Geometric analysis aspects of infinite semiplanar graphs with nonnegative curvature
Geometric analysis aspects infinite semiplanar graphs nonnegative curvature Metric Geometry
2011/9/6
Abstract: In the present paper, we apply Alexandrov geometry methods to study geometric analysis aspects of infinite semiplanar graphs with nonnegative combinatorial curvature in the sense of Higuchi....
Barrier methods for critical exponent problems in geometric analysis and mathematical physics
Nonlinear elliptic equations geometric analysis Yamabe problem general relativity
2011/8/23
Abstract: We consider the design and analysis of numerical methods for approximating positive solutions to nonlinear geometric elliptic partial differential equations containing critical exponents. Th...
Intrinsic Geometric Analysis of the Network Reliability and Voltage Stability
Geometric Analysis the Network Reliability Voltage Stability
2010/11/17
This paper presents the intrinsic geometric model for the solution of power system planning and its operation. This problem is large-scale and nonlinear, in general. Thus, we have developed the intri...