scholarly journals Numerical computation of the cut locus via a variational approximation of the distance function

2021 ◽  
Author(s):  
Edouard Oudet ◽  
Francois Générau ◽  
Bozhidar Velichkov
Keyword(s):  
Variational Problem ◽  
Numerical Computation ◽  
Distance Function ◽  
New Method ◽  
Variational Approximation ◽  
Cut Locus ◽  
Voronoi Cells ◽  
Embedded Surfaces ◽  
Compact Submanifold

We propose a new method for the numerical computation of the cut locus of a compact submanifold of R3 without boundary. This method is based on a convex variational problem with conic constraints, with proven convergence. We illustrate the versatility of our approach by the approximation of Voronoi cells on embedded surfaces of R3.

scholarly journals A location-based multiple point statistics method: modelling the reservoir with non-stationary characteristics

2017 ◽  
Vol 9 (1) ◽  
Author(s):  
Yanshu Yin ◽  
Wenjie Feng
Keyword(s):  
Distance Function ◽  
Training Image ◽  
New Method ◽  
Central Position ◽  
Multiple Point ◽  
Delta Front ◽  
Multiple Point Statistics ◽  
Shengli Oilfield ◽  
Path Distance ◽  
The Relationship

AbstractIn this paper, a location-based multiple point statistics method is developed to model a non-stationary reservoir. The proposed method characterizes the relationship between the sedimentary pattern and the deposit location using the relative central position distance function, which alleviates the requirement that the training image and the simulated grids have the same dimension. The weights in every direction of the distance function can be changed to characterize the reservoir heterogeneity in various directions. The local integral replacements of data events, structured random path, distance tolerance and multi-grid strategy are applied to reproduce the sedimentary patterns and obtain a more realistic result. This method is compared with the traditional Snesim method using a synthesized 3-D training image of Poyang Lake and a reservoir model of Shengli Oilfield in China. The results indicate that the new method can reproduce the non-stationary characteristics better than the traditional method and is more suitable for simulation of delta-front deposits. These results show that the new method is a powerful tool for modelling a reservoir with non-stationary characteristics.

scholarly journals Realization of Radar Illusion Using Active Devices

2012 ◽  
Vol 2012 ◽  
pp. 1-9 ◽  
Author(s):  
B. Z. Cao ◽  
L. Sun ◽  
Z. L. Mei
Keyword(s):  
Numerical Computation ◽  
Matrix Method ◽  
New Method ◽  
Active Devices ◽  
Electromagnetic Devices ◽  
T Matrix

A new method is proposed for realizing radar illusion of an electromagnetic target by using active devices. The devices are installed around the target but may closely cover the target or not, leading to closed or open configurations. The amplitudes and phases of the active devices are determined by using T-matrix method. The numerical computation is calculated using MATLAB, and the results show that this method is convenient, flexible, and efficient, which has important significances for implementation of novel electromagnetic devices.

A Novel Method of Disposing Conflict Evidence in Information Fusion

2013 ◽  
Vol 303-306 ◽  
pp. 900-903
Author(s):  
Bo Chen ◽  
Chuan Bao Jia ◽  
Ji Cai Feng
Keyword(s):  
Information Fusion ◽  
Distance Function ◽  
Fuzzy Inference ◽  
Evidence Theory ◽  
New Method ◽  
Combination Rules ◽  
Novel Method ◽  
Supporting Degree ◽  
Inference Theory

To solve the problem of conflict confidence in D-S evidence theory, this paper proposed a new method. First a distance function was introduced, then the supporting degree of the evidence by other evidences was calculated, and the BPAs of the evidences were modified by the supporting degree using fuzzy inference theory, and the modified evidences were fused by D-S combination rules. Experiment result showed the effectiveness of the method.

scholarly journals An ADMM-based scheme for distance function approximation

2019 ◽  
Vol 84 (3) ◽  
pp. 983-996
Author(s):  
Alexander Belyaev ◽  
Pierre-Alain Fayolle
Keyword(s):  
Variational Problem ◽  
Distance Function ◽  
Function Approximation ◽  
Numerical Experiments ◽  
Domain Boundary ◽  
Estimation Method ◽  
Surface Curvature ◽  
Binary Image ◽  
Function Estimation ◽  
Curvature Estimation

Abstract A novel variational problem for approximating the distance function (to a domain boundary) is proposed. It is shown that this problem can be efficiently solved by ADMM. A review of several other variational and PDE-based methods for distance function estimation is presented. Advantages of the proposed distance function estimation method are demonstrated by numerical experiments. Applications of the method to the problems of surface curvature estimation and computing the skeleton of a binary image are shown.

scholarly journals THE EULER NUMBER FROM THE DISTANCE FUNCTION

2013 ◽  
Vol 32 (3) ◽  
pp. 175 ◽  
Author(s):  
Ximo Gual-Arnau
Keyword(s):  
Distance Function ◽  
Critical Points ◽  
Euler Number ◽  
New Method ◽  
Concentric Spheres ◽  
Hopf Theorem

We present a new method to obtain the Euler number of a domain based on the tangent counts of concentric spheres in ℝ³ (or circles in ℝ², with respect to the center O, that sweeps the domain. This method is derived from the Poincaré-Hopf Theorem, when the index of critical points of the square of the distance function with respect to the origin O are considered.

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