Methods of transition from projection with numerical marks to spatial images

Abstract

When depicting complex plans on drawings, such as mineral deposits, mine workings, mine plans, etc., in projections with numerical marks, complex drawings are obtained, which are a jumble of plans, established horizons, with an abundance of numerical data. In order to obtain a more complete and visual representation of the depicted mine or deposit, as an addition to the drawing, an axonometric projection is often constructed. The task of constructing an axonometric projection, based on a given projection with numerical marks, is a known difficulty and is accessible to highly qualified persons. The solution scheme for such a problem is presented in the following form: Marking the coordinate axes on the drawing, which depicts orthogonal projections with numerical marks. This moment of construction is aimed at choosing a conditional origin of coordinates and the location of the coordinate axes, if possible, parallel to the main dimensions of the plan, in order to maximally facilitate the construction of the axonometric projection. Construction and selection of distortion indices, as well as construction of a scale for determining the values ​​of distortion indices along the axes and the angles between them. Construction of a secondary projection of the plan. Construction of the axonometric projection of the depicted object itself. The main objective of this article is to develop the simplest method for constructing a spatial image of a body specified by one projection (plan), and to establish the simplest method for transitioning from projections with numerical marks to axonometric ones.