Application form
for participation in ХХI International scientific and practical conference
of young scientists and students
"Modern problems of scientific support of power engineering"
(April 23 – 26, 2024)

Report theme
Security of computer networks with dynamic IP addressing

Report UDC	XXX.XX.XX:XXX.XX

Conference section	Information technologies and computer modeling

AUTHOR 1

Name Surname Patronymic	Hubenko Mykola Serhijovych

Place of study (organisation name)
Igor Sikorsky Kyiv Polytechnic Institute

Status	BS's programme of the 4 year

Email	login@server.com

AUTHOR 2

Name Surname Patronymic

Place of study (organisation name)
Igor Sikorsky Kyiv Polytechnic Institute

Status	of the year

Email	login@server.com

ACADEMIC LEADER

Name Surname Patronymic	Shapovalova Svitlana Igorivna

Position	assoc.prof.

Academic degree	cand.eng.sc.

Workplace (organisation name)
Igor Sikorsky Kyiv Polytechnic Institute

Email	login@server.com

Google scholar

https://scholar.google.com.ua/citations?user=UgfWon8AAAAJ&hl=en

9 1 4 1 6 0 0 0 0 0 0 1 0 1	technical info

Security of computer networks with dynamic IP addressing.

HUBENKO M.S., BS's programme

Academic leader - assoc.prof., cand.eng.sc. Shapovalova S.I.

Hubenko M.S.

Shapovalova S.I.

UDC XXX.XX.XX:XXX.XX

¹ BS's programme 4th year Hubenko M.S.

¹ Assoc.prof., cand.eng.sc. Shapovalova S.I.

https://scholar.google.com.ua/citations?user=UgfWon8AAAAJ&hl=en

¹ Igor Sikorsky Kyiv Polytechnic Institute

SECURITY OF COMPUTER NETWORKS WITH DYNAMIC IP ADDRESSING

Statement of the problem and its relevance. In the conditions of rapid development of modern graphic information processing technology, timely and in-depth study of the mathematical foundations of computer graphics is important [1,2]. The educational process is increasingly focused on the study of disciplines in distance mode [4]. For deep learning of any discipline, it is necessary to create high-quality manuals with correctly explained theory and good visual examples. It is for this reason that it is advisable in the manuals not only to provide algorithms for performing certain tasks, but also to provide examples of what the student should get as a result of performing laboratory work.

Analysis of the latest research. For an example of such a presentation of the material, consider the construction of a grid based on Bezier curves [1].

In computer graphics, the use of Bézier meshes is a technique that allows artists and designers to create precise and complex shapes and surfaces. By combining the power of Bézier curves with the flexibility of meshes, it is possible to create complex 3D models that would be difficult or impossible to obtain using traditional modeling methods [2].

Goal formulation. A variety of techniques can be used to create 3D models using a Bézier mesh. One common technique is to create a Bézier curve, then extrude it along the contour to create a surface.

Main part. The general form of Bezier curves is given by formula (1)

(1)

where	d – a degree;

t – a parameter in the range of [0,1];

– the curve parametric point;

(t) – the Bernstein polynomial defined by equation (2).

.	(2)

For extrusion along the contour polynomial is calculated according to the formula

(3)

where	– a desired point on the contour;

– the Bezier curve that defines the surface profile;

– a vector that defines the direction of extrusion at each point and which is calculated as , where – derivative of the Bezier curve.

By adjusting the control points of the curve, you can create a wide range of shapes and designs. Another technique is to combine several Bezier curves to create more complex shapes and surfaces (Fig. 1).

Figure 1 – A mesh based on multiple Bézier curves

To build a grid based on Bézier curves, it is need to set the general form of the formula for the coordinates of the points of the desired curve [1]. It looks like

.	(4)

One of the key benefits of using a Bézier mesh is the ability to create smooth and accurate surfaces. This is because Bézier curves allow smooth transitions between control points that can be used to define the shape of a surface. By extruding or extruding a curve along the contour, you can create a surface of different shapes and thicknesses, as well as smooth transitions between different areas of the surface [3].

Table 1 – Energy consumption of OES under different conditions of its operation

Frequence ARM, MHz	Camera state	Frames per second	Power consumed, W	Software state	CPU temperature in air 18o C, o C
800	De-energized	-	1.7	Background processes	39
800	Energized	-	3.7	Background processes	39
800	Energized	3.5	4.6	GUI rendering	43
800	Streaming video	2.5	4.9	Raw stream playback	43
800	Streaming video	0.5	5.5	GLSL filters activated	46

Basing on the data in Table 1, the following conclusions can be drawn:

- the processor and motherboard consume 1.2 W of power even if the processor generator is stopped;

- the camera equipment itself consumes 2 W;

- significant energy consumption and heat release occur when GLSL filters are activated;

- a decrease in the frequency of the processor leads to a decrease in the speed of frame processing and a decrease in the power consumption; at the same time, at less than half the frequency, the performance of the system decreases proportionally, and the power consumed decreases by only 60% of the proportional value.

Another benefit of using a Bézier mesh is the flexibility it provides in the design process. Because Bezier curves are easy to manipulate, you can experiment with different shapes and designs before settling on a final design. This allows artists and designers to quickly iterate on their designs and explore new ideas, which can save time and money in the long run [5].

Based on equation (1), an anodized aluminum radiator with an emissivity coefficient of 0.85, a temperature of 333K (60oC) and an area of ​​30 cm2 has a radiation power of

W.

At the maximum permissible processor temperature of 363K (80oC), the radiation power is

W.

An important element of heat removal from the processor is the thermal interface between the radiator and the processor cover. Based on the quality of surface treatment and permissible mechanical loads on the motherboard, thermal paste GD900 was chosen as the thermal interface, which has a thermal conductivity of 4.8 W/(m⋅K). The thickness of the thermal interface layer was 0.05 mm, which corresponds to a duralumin layer with a thickness of 1.25 mm (the thermal conductivity of the hardened duralumin alloy after natural aging is 120 W/(m⋅K) ). Thermal paste GD900 consists of silicone and silver particles (according to the manufacturer's passport).

The main requirements of the developed system are: accessibility, convenient and understandable user interface, uninterrupted work with the database, constant support of the existing functionality and development of new modules, system speed at high load, and processing of a large amount of information.

The radiator not only dissipates the supplied heat due to radiation, but also helps to cope with peak loads during shooting. This is because the heatsink provides more thermal mass to transfer heat to than the motherboard and SoC cover itself. The shooting process creates a short but intense load, so that the temperature control system automatically reduces the frequency of the cores (or turns them off altogether). During the recording time, the heatsink, acting as a thermal mass, absorbs this heat, preventing frequency drop (and premature termination of the recording). The term until the next shooting session should be sufficient for the radiation of the heat that has already been supplied to the radiator.

Conclusions. In summary, using a Bézier mesh is a powerful technique for creating complex 3D models in computer graphics. Combining the power of Bézier curves with the flexibility of meshes, it's possible to create precise and complex shapes and surfaces that would be difficult (or impossible) to achieve using traditional modeling methods.

References:

1.	Scott J. Drader 3D Surface Rendering in Postscript. URL: https://personal.math.ubc.ca/~cass/courses/m308-03b/projects-03b/drader/main.htm (access date 04.12.2018)

2. Petrov O. H. Kryvi Bezie u promyslovosti : avtoref. dys. ... kand. tekhn. nauk : 12.00.06. Kyiv, 2009. 40 p.

3. Pustovit V. V., Dzha I. L., Yakymchuk A.S. Pobudova kryvykh : monohrafiia. Kharkiv : KhNPU, 2017. 348 p.

4. Bangfort B., Bilbro R., Ojeda T. Applied Text Data Analysis in Python. USA: O’Reilly Media. 2018. 332 p.

5. Zhidkov E.P. Computer modeling of magnet systems for physical setups. Computer Research and Modeling. 2009. V. 1, № 2. P. 189–198.