Recognizing Patterns in Geospatial Data Using Persistent Homology: A Study of Geologic Fractures

A crucial step in the analysis of persistent homology is the transformation of data into an appropriate topological object (in our case, a simplicial complex). Modern packages for persistent homology often construct Vietoris–Rips or other distance-based simplicial complexes on point clouds because they are relatively easy to compute. We investigate alternative methods of constructing these complexes and the effects of making associated choices during simplicial-complex construction on the output of persistent-homology algorithms. We present two new methods for constructing simplicial complexes from two-dimensional geospatial data (such as maps). We apply these methods to a California precinct-level voting data set, demonstrating that our new constructions can capture geometric characteristics that are missed by distance-based constructions. Our new constructions can thus yield more interpretable persistence modules and barcodes for geospatial data. In particular, they are able to distinguish short-persistence features that occur only for a narrow range of distance scales (e.g., voting behaviors in densely populated cities) from short-persistence noise by incorporating information about other spatial relationships between precincts.

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Web Based GIS Application using Open Source Software for Sharing Geospatial Data

International Journal of Advanced Remote Sensing and GIS ◽

10.23953/cloud.ijarsg.109 ◽

2015 ◽

Vol 4 (1) ◽

pp. 1224-1228 ◽

Cited By ~ 9

Author(s):

Debasish Chakraborty ◽

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Debanjan Sarkar ◽

Shubham Agarwal ◽

Dibyendu Dutta ◽

...

Keyword(s):

Open Source ◽

Open Source Software ◽

Geospatial Data ◽

Web Based ◽

Gis Application

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Using the potential of peripheral green areas of cities for educational and recreational purposes on the example of Stary Sącz, Nowy Targ and Kraków

Urban Development Issues ◽

10.2478/udi-2020-0005 ◽

2020 ◽

Vol 65 (1) ◽

pp. 53-63

Author(s):

Mateusz Kulig ◽

Anna Przeniczny ◽

Piotr Ogórek

Keyword(s):

Land Cover ◽

Environmental Protection ◽

Public Spaces ◽

Geospatial Data ◽

Valuable Resource ◽

Green Areas

AbstractGreen areas located on the peripheries of cities have the potential to become green public spaces not only of recreational but also educational character, promoting at the same time the knowledge about environmental protection. The cities included in the research belong to the małopolskie voivodeship (Lesser Poland voivodeship). With the use of geospatial data of land cover, as well as territorial forms of environmental protection, it was pointed that 48.4% of forest, wooded and shrub green areas located within city borders are covered by a form of environmental protection, thus being a valuable resource of significant nature potential. Making such spaces available in a conscious and attractive way is presented on the example of projects implemented in the cities of: Stary Sącz, Nowy Targ and Kraków. The presented projects were used to make recommendations for city authorities to create green public spaces.

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Forest canopy disturbance geospatial data for Lake Superior basin, USA, 1985-2008

Forest Service Research Data Archive ◽

10.2737/rds-2014-0014 ◽

2014 ◽

Author(s):

Ian W. Housman ◽

Mark D. Nelson ◽

Charles H. Perry ◽

Kirk M. Stueve ◽

Chengquan Huang

Keyword(s):

Forest Canopy ◽

Lake Superior ◽

Geospatial Data ◽

Canopy Disturbance

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Forest canopy disturbance geospatial data for Lake Michigan basin, USA, 1985-2008

Forest Service Research Data Archive ◽

10.2737/rds-2014-0013 ◽

2014 ◽

Author(s):

Ian W. Housman ◽

Mark D. Nelson ◽

Charles H. Perry ◽

Kirk M. Stueve ◽

Chengquan Huang

Keyword(s):

Forest Canopy ◽

Lake Michigan ◽

Geospatial Data ◽

Michigan Basin ◽

Canopy Disturbance

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Robust Watermarking Scheme for GIS Vector Maps

Ibn AL- Haitham Journal For Pure and Applied Science ◽

10.30526/31.1.1835 ◽

2018 ◽

Vol 31 (1) ◽

pp. 277 ◽

Cited By ~ 1

Author(s):

Methaq Talib Gaata

Keyword(s):

Main Idea ◽

Geospatial Data ◽

Robust Watermarking ◽

Digital Map ◽

Statistical Measures ◽

Data Authentication ◽

Two Factors ◽

Illegal Copying ◽

Value Decomposition ◽

Watermarking Scheme

With the fast progress of information technology and the computer networks, it becomes very easy to reproduce and share the geospatial data due to its digital styles. Therefore, the usage of geospatial data suffers from various problems such as data authentication, ownership proffering, and illegal copying ,etc. These problems can represent the big challenge to future uses of the geospatial data. This paper introduces a new watermarking scheme to ensure the copyright protection of the digital vector map. The main idea of proposed scheme is based on transforming the digital map to frequently domain using the Singular Value Decomposition (SVD) in order to determine suitable areas to insert the watermark data. The digital map is separated into the isolated parts.Watermark data are embedded within the nominated magnitudes in each part when satisfied the definite criteria. The efficiency of proposed watermarking scheme is assessed within statistical measures based on two factors which are fidelity and robustness. Experimental results demonstrate the proposed watermarking scheme representing ideal trade off for disagreement issue between distortion amount and robustness. Also, the proposed scheme shows robust resistance for many kinds of attacks.

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