Construction of an Electronic Image and Drawing Using the Coordinate Method in the Computer Model Space

L. S. Sokolova

doi:10.12737/2308-4898-2025-13-1-43-52

UDC 51

CONSTRUCTION OF AN ELECTRONIC IMAGE AND DRAWING USING THE COORDINATE METHOD IN THE COMPUTER MODEL SPACE Construction of an Electronic Image and Drawing Using the Coordinate Method in the Computer Model Space

АА Аа

Published in Geometry & Graphics · Volume 13, Issue 1 · Pages 43–52 · Rubric: Methodical questions of teaching

DOI: https://doi.org/10.12737/2308-4898-2025-13-1-43-52

Received: 21.07.2025 Accepted: 21.07.2025 Published: 21.07.2025 Language of publication: ru-RU

Authors

L. S. Sokolova

Academic degree: candidate of technical sciences

Bauman Moscow State Technical University Asssociate Professor · Moscow

ABSTRACT

The coordinate method of constructing an electronic image and drawing in the model space of a computer is considered as an alternative to the classical method of two images based on projection. The currently generally accepted understanding of the coordinate method of image construction in axonometry is based on the projection of a system of spatial coordinates. The image itself is based on the coordinates of the points defining the object. The proposed coordinate method is based on a complete rejection of the use of projection. The transformation of the spatial coordinate system is performed by converting a simplex that uniquely defines the three-dimensional model space of a computer. The transformation of a simplex from three-dimensional to two-dimensional is carried out by computer software by visualizing the simplex with izometric and orthogonal views. The image of the full-scale detail is drawn within the boundaries of the transformed two-dimensional simplex in its local coordinate zone. Removing the boundaries of the local coordinate zone of the simplex allows you to start sizing on an electronic drawing, i.e. on orthogonal views of the drawn image. The method is based on the fundamental principles of modern image theory, linking the shape of an object and its image based on strict patterns and modern tools and digital technologies. The features of the method are: • using a three-dimensional simplex as a geometric finite shape. defining a three-dimensional model space of the world Cartesian rectangular coordinate system; • a three-dimensional wireframe model of a full-scale part of known overall dimensions is used as this geometric simplex. The created simplex is a local coordinate zone of a three-dimensional model space, where the coordinates of any point are known; • visualization of the simplex using isometric and orthogonal views by computer software naturally reduces the dimension of the three-dimensional model space to two-dimensional and can be considered as a result of space transformation; • drawing an image of a full-scale detail in the local coordinate zone of a simplex is the construction of an electronic image;• after drawing the image, the boundaries of the local coordinate zone are removed. The image appears in the model space in the coordinate system of the electronic model of the product. This allows you to start sizing up the electronic drawing; • the only initial condition for constructing an electronic image using the proposed coordinate method is to specify the overall size of the simplex;• separating image construction from dimensioning practically frees the created image from unpredictable shape adjustments due to the imposed dimensional dependencies.

KEYWORDS

geometric simplex, coordinate method, model space, electronic image, drawing

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Vladimir Vyshnyepolskiy

Glavnyy redaktor

A. A. Ishchenko

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Dar'ya Sklyankina

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Deputy editor-in-chief, member of the editorial Board

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GOST

Sokolova L. S. Construction of an Electronic Image and Drawing Using the Coordinate Method in the Computer Model Space // Geometry & Graphics. 2025. no. 1. pp. 43-52. DOI: https://doi.org/10.12737/2308-4898-2025-13-1-43-52. (Date of access 13.11.2026).

MLA

L. S. Sokolova. "Construction of an Electronic Image and Drawing Using the Coordinate Method in the Computer Model Space." Geometry & Graphics 13.1 (2025): 43-52. DOI: https://doi.org/10.12737/2308-4898-2025-13-1-43-52.

APA

Sokolova L. S. (2025). Construction of an Electronic Image and Drawing Using the Coordinate Method in the Computer Model Space. Geometry & Graphics, 13(1), 43-52. https://doi.org/10.12737/2308-4898-2025-13-1-43-52

Chicago

L. S. Sokolova. "Construction of an Electronic Image and Drawing Using the Coordinate Method in the Computer Model Space." Geometry & Graphics 13, no. 1 (2025): 43-52. https://doi.org/10.12737/2308-4898-2025-13-1-43-52.

WIKI

{{cite journal | author = Sokolova L. S. | title = Construction of an Electronic Image and Drawing Using the Coordinate Method in the Computer Model Space | journal = Geometry & Graphics | year = 2025 | volume = 13 | issue = 1 | pages = 43-52 | doi = 10.12737/2308-4898-2025-13-1-43-52 }}

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CONSTRUCTION OF AN ELECTRONIC IMAGE AND DRAWING USING THE COORDINATE METHOD IN THE COMPUTER MODEL SPACE Construction of an Electronic Image and Drawing Using the Coordinate Method in the Computer Model Space

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