A Family of High Continuity Subdivision Schemes Based on Probability Distribution

Asghar, M.; Iqbal, Muhammad Javed; Mustafa, Ghulam

doi:10.22581/muet1982.1902.13

Cited by 7 publications

(5 citation statements)

References 18 publications

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“…The comparison of this proposed family of ternary approximated subdivision schemes with existing schemes, given in table 7 The visual performance of a family of 4-point ternary approximating SDS U ϕ is presented in Figure 1. The control polygon is shown by dotted lines, while smooth limit curves for ϕ= 1 2 , 1 3 , 1 4 , 1 5 , 3 10 are given in different colours in figure 1.…”

Section: Comparison With Existing Sdsmentioning

confidence: 99%

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Geometric Modelling of a Family of 4-Point Ternary Approximating Subdivision Scheme U_φ with Visual Performance

Gulzar,

Muhammad Javed Iqbal,

Inayatullah Soomro

et al. 2024

VFAST trans. math.

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Making signals better than noise in communication has always been challenging for scientists. Researchers have been working on it in different ways. The computer-aided geometric design is a new research field emerging from the collaboration of computer algorithms and mathematical logic towards curve designing, in which the subdivision schemes used have a key position due to their flexible and smooth behaviour. Using parameters in these schemes allows for increased control over designing. A parameterized framework for generating a wide range of subdivision surfaces with tunable degrees of shape control is presented in the family of schemes. The properties of the proposed family make it suitable for use in isogeometric analysis, computer animation, and geometric modelling. The purpose of this paper is to construct and analyze a family of 4-point ternary subdivision schemes to smooth the curves based on the Laurant polynomial. This family is generated by tuning the weight parameter. The scheme is analysed for its different properties. The scheme has continuity. Visual performance of the subdivision scheme is also provided as an application of this proposed study.

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Section: Comparison With Existing Sdsmentioning

confidence: 99%

“…Control points or parameters define them. Applications of CAGD are involved in computer graphics, product design and automotive designing [3,4,9,13,18].…”

Section: Introductionmentioning

confidence: 99%

Geometric Modelling of a Family of 4-Point Ternary Approximating Subdivision Scheme U_φ with Visual Performance

Gulzar,

Muhammad Javed Iqbal,

Inayatullah Soomro

et al. 2024

VFAST trans. math.

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“…To lessen the computations, scenarios are reduced to 100 using K-Means [33] technique. To generate random scenarios of solar irradiance, normal distribution [34] is used. Fast forward technique [35] is used to create 8000 scenarios and subsequently reduced to 100 by K-Means technique.…”

Section: Risk Analysis Using Monte Carlo Simulationmentioning

confidence: 99%

Two-Cored Energy Management System for Industrial Microgrid

Ali¹,

Malik

2021

Mehran Univ. res. j. eng. technol.

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Energy systems have to deal with energy cost and environmental concerns such as greenhouse gas emission. Industrial buildings considered as Microgrid (μG) with heavy load worsen these issues even more. Further, cyber-attacks on the data communication channel between utility and customer is also a potential threat and may alter the data as well as the confidentiality of it, resulting in an inaccurate result. To address these problems, this paper proposes two-cored Building Energy Management System (BEMS) for Industrial Microgrid (IμG) with first cored termed as the energy layer concentrating on energy cost and emission reduction, while second cored termed as security layer provides the un-authorized intrusion detection and prevention system (IDS/IPS) for cyber secure communication of data. The μG under consideration contains national grid, Natural Gas (NG), solar Photovoltaic (PV) as input carriers; electrical energy at output ports; electric vehicle (EV) fleet; battery bank; solar PV panel as non-dispatchable Distributed Energy Resources (DERs) and Internal Combustion Engine (ICE), Fuel Cell (FC) and Micro Turbine (MT) as dispatchable DERs. Energy layer optimization problem has been solved in MATLAB using flower pollination algorithm for µG energy consumption cost and emission reduction. To develop and analyze the security layer, Linux operating system based Smooth-sec software has been used. Devised security layer continuously monitors the network traffic between customers and BEMS as well as BEMS and utility server. During monitoring it distinguish the licensed user or malicious attacker to detect and prevent possible internal and/or external intrusions in the communication channel. Results show that EMS reduces energy cost and emission in addition to cyber security from internal threats. Proposed two-cored control may be manufactured for utilities to realize its benefits for industrial customers in a smart energy distribution system. Keywords: Demand Response, Energy Management System, Flower

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“…P. Novara et al [17] constructed a non-stationary subdivision scheme having several properties for 3 directional grids. M. Asghar et al [18] introduced a simple way to increase the continuity of the subdivision schemes. G Kanwal et al [19] developed a new numerical technique that defines a 6-point approximating subdivision techniques that helps in the generation of the smooth curves.…”

Section: Introductionmentioning

confidence: 99%