A New Approach (Extra Vertex) and Generalization of Shoelace Algorithm Usage in Convex Polygon (Point-in-Polygon)

Rakhmanov, Ochilbek

doi:10.1109/icecco.2018.8634725

Cited by 9 publications

(4 citation statements)

References 3 publications

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“…In the analytical method, the surface area of a polynomial, which is presented in the Cartesian coordinate system, can be calculated on the basis of the contour corner coordinates [1]. On the assumption that the vertices (x 1 ,y 1 ), (x 2 ,y 2 ), …, (x n ,y n ) are marked clockwise, then the area of figure A is determined using the following formulas [8,13]:…”

Section: Gauss`s Formulasmentioning

confidence: 99%

Methodology of testing common rail fuel injectors with the use of Gauss’s formulas

Stoeck¹

2021

Combustion Engines

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The paper presents the methodology of testing common rail fuel injectors, which consisted in extending the standard diagnostic proce-dures with the analysis of the resulting fuel delivery fields. The calculations were carried out in a popular spreadsheet, using Gauss's formulas (the so-called shoelace formula). In this way, the necessity to modify the test bench software was eliminated, as the analytical process took place after the end of the active experiment phase. It has been shown that the proposed solution should be particularly useful in problematic situations where clear-cut verification and assessment of the technical condition of the fuel injectors is sometimes difficult, as shown in the example. In addition, implementation in a digital environment allows the presented algorithms to be reused in research with a similar profile.

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Section: Gauss`s Formulasmentioning

confidence: 99%

Methodology of testing common rail fuel injectors with the use of Gauss’s formulas

Stoeck¹

2021

Combustion Engines

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“…The landing zone area was measured using the shoelace algorithm, summing the divisions of voxels within the area. [16,17] The perimeter was calculated using the length along the lumen line, which is a direct result of lumen segmentation. The area and perimeter-derived diameters were calculated using the equation for the circumference of a circle, dividing each measurement by pi (π).…”

Section: Pre-procedural Ct Image Acquisitionmentioning

confidence: 99%

Pre-procedural Determination of Device Size in Left Atrial Appendage Occlusion Using Three-dimensional Cardiac Computed Tomography

Cho¹,

Kim²,

Lee³

et al. 2021

Preprint

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Background: The two-dimensional-based LAAO size prediction system using transesophageal echocardiography is limited by the complex structure of the left atrial appendage (LAA). The LAA anatomy can be evaluated more precisely using three-dimensional images from cardiac CT; however, a CT-based sizing method has not been established. We aimed to assess the accuracy of measurements derived from cardiac computed tomography (CT) images for selecting left atrial appendage occlusion (LAAO) devices.Methods: We retrospectively reviewed 62 patients with Amplatzer Cardiac Plug and Amulet LAAO devices who underwent implantation from 2017 to 2020. The minimal, maximal, average, area-derived, and perimeter-derived diameters of the LAA landing zone were measured using CT-based images. Predicted device sizes using sizing charts were compared with actual successfully implanted device sizes.Results: The mean size of implanted devices was 27.1 ± 3.7 mm. The perimeter-derived diameter predicted device size most accurately (mean error = -0.8 ± 2.4 mm). All other parameters showed significantly larger error (mean error; minimal diameter = -4.9 ± 3.3 mm, maximal diameter = 1.0 ± 2.9 mm, average diameter = -1.6 ± 2.6 mm, area-derived diameter = -2.0 ± 2.6 mm) than the perimeter-derived diameter (all p for difference <0.05). The error for other parameters were larger in cases with more eccentrically-shaped landing zones, while the perimeter-derived diameter had minor error regardless of eccentricity. When oversizing was used, all parameters showed significant disagreement.Conclusions: The perimeter-derived diameter on cardiac CT images provided the most accurate estimation of LAAO device size regardless of landing zone eccentricity. Oversizing was unnecessary when using cardiac CT to predict an accurate LAAO size.

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“…To acquire the social locations of geographical points is also a promising topic, such as in epidemic management. In computational geometry, this is the point-in-polygon (PIP) problem [26][27][28][29][30]. These studies provide methods to evaluate that a point is inside an area or is not-inside an area without error.…”

Section: Related Workmentioning

confidence: 99%

A GNSS-Based Crowd-Sensing Strategy for Specific Geographical Areas

Lin

Hung

Hsu

et al. 2020

Sensors

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Infectious diseases, such as COVID-19, SARS, MERS, etc., have seriously endangered human safety, economy, and education. During the spread of epidemics, restricting the range of activities of personnel is one of the options for the prevention and treatment of infectious diseases. A global navigation satellite system (GNSS), it can provide accurate coordinates of latitude and longitude to targets with GNSS receivers. However, it is not common to use GNSS coordinates to represent positions in social life. For epidemic management, it is important to know the locations (and addresses) of targets, especially in social life. When there are many targets, it is not easy to efficiently map these coordinates to locations. Therefore, we propose a GNSS-based crowd-sensing strategy for specific geographical areas that can be used to calculate how many targets are in specific geographical areas or whether a target is in a specific area. This strategy is based on the coordinates of latitude and longitude provided by GNSS to find the locations of these coordinates. As simulated data, the data records containing latitude and longitude in a well-known social networking service platform are used. The strategy is also available for mining hot spots or hot areas.

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A New Approach (Extra Vertex) and Generalization of Shoelace Algorithm Usage in Convex Polygon (Point-in-Polygon)

Cited by 9 publications

References 3 publications

Methodology of testing common rail fuel injectors with the use of Gauss’s formulas

Methodology of testing common rail fuel injectors with the use of Gauss’s formulas

Pre-procedural Determination of Device Size in Left Atrial Appendage Occlusion Using Three-dimensional Cardiac Computed Tomography

A GNSS-Based Crowd-Sensing Strategy for Specific Geographical Areas

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