Local Lagrange Interpolation on Powell-Sabin Triangulations and Terrain Modelling

2001 ◽  
pp. 227-244 ◽  
Author(s):  
Günther Nürnberger ◽  
Frank Zeilfelder
Keyword(s):  
Lagrange Interpolation ◽  
Terrain Modelling

scholarly journals Where should police forces target their residential burglary reduction efforts? Using official victimisation data to predict burglary incidences at the neighbourhood level

Crime Science ◽  
2021 ◽  
Vol 10 (1) ◽  
Author(s):  
James Hunter ◽  
Bethany Ward ◽  
Andromachi Tseloni ◽  
Ken Pease
Keyword(s):  
Police Officers ◽  
Crime Rates ◽  
Crime Reduction ◽  
Residential Burglary ◽  
England And Wales ◽  
Neighbourhood Level ◽  
The Mean ◽  
Terrain Modelling ◽  
Modelling Approach ◽  
Police Forces

AbstractExpected crime rates that enable police forces to contrast recorded and anticipated spatial patterns of crime victimisation offer a valuable tool in evaluating the under-reporting of crime and inform/guide crime reduction initiatives. Prior to this study, police forces had no access to expected burglary maps at the neighbourhood level covering all parts of England and Wales. Drawing on analysis of the Crime Survey for England and Wales and employing a population terrain modelling approach, this paper utilises household and area characteristics to predict the mean residential burglary incidences per 1000 population across all neighbourhoods in England and Wales. The analysis identifies distinct differences in recorded and expected neighbourhood burglary incidences at the Output Area level, providing a catalyst for stimulating further reflection by police officers and crime analysts.

scholarly journals Towards Camera-LIDAR Fusion-Based Terrain Modelling for Planetary Surfaces: Review and Analysis

Sensors ◽  
2016 ◽  
Vol 16 (11) ◽  
pp. 1952 ◽  
Author(s):  
Affan Shaukat ◽  
Peter Blacker ◽  
Conrad Spiteri ◽  
Yang Gao
Keyword(s):  
Planetary Surfaces ◽  
Terrain Modelling

scholarly journals Bivariate Lagrange interpolation at the node points of non-degenerate Lissajous curves

2015 ◽  
Vol 133 (4) ◽  
pp. 685-705 ◽  
Author(s):  
Wolfgang Erb ◽  
Christian Kaethner ◽  
Mandy Ahlborg ◽  
Thorsten M. Buzug
Keyword(s):  
Lagrange Interpolation

A Hierarchical Access Control Scheme Based on Lagrange Interpolation and ELGamal Algorithm with Numerical Experiments

2013 ◽  
Vol 385-386 ◽  
pp. 1705-1707
Author(s):  
Tzer Long Chen ◽  
Yu Fang Chung ◽  
Jian Mao Hong ◽  
Jeng Hong Jhong ◽  
Chin Sheng Chen ◽  
...  
Keyword(s):  
Access Control ◽  
Lagrange Interpolation ◽  
Control Mechanism ◽  
Key Generation ◽  
Electronic Documents ◽  
Control Scheme ◽  
Video Systems ◽  
Efficient Scheme ◽  
On Line ◽  
Access Control Mechanism

It is important to notice that the access control mechanism has been widely applied in various areas, such as on-line video systems, wireless network, and electronic documents. We propose an access control mechanism which is constructed based on two mathematical fundamentals: Lagrange interpolation and ElGamal algorithm. We conduct performance analysis to compare the efficiency of our proposed scheme with that of several related published schemes in both key generation phase and key derivation phase. Our new scheme is proven to be more efficient. It is shown, as expected, a more efficient scheme provides relatively less security and a more secure scheme is relatively less efficient for private keys of the same size.

scholarly journals Local Lagrange interpolation using cubic C1 splines on type-4 cube partitions

2010 ◽  
Vol 162 (3) ◽  
pp. 494-511 ◽  
Author(s):  
Michael A. Matt ◽  
Günther Nürnberger
Keyword(s):  
Lagrange Interpolation

scholarly journals Barycentric Lagrange Interpolation

SIAM Review ◽  
2004 ◽  
Vol 46 (3) ◽  
pp. 501-517 ◽  
Author(s):  
Jean-Paul Berrut ◽  
Lloyd N. Trefethen
Keyword(s):  
Lagrange Interpolation
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