title: Ð Ð°Ð·Ð²Ð¸ÑÐ¸Ðµ Ð°Ð»Ð³Ð¾ÑÐ¸ÑÐ¼Ð¾Ð² ÑÐ°ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð¿Ð»Ð¾ÑÐºÐ¸Ñ Ð¾Ð±ÑÐµÐºÑÐ¾Ð² Ñ ÑÑÑÑÐ¾Ð¼ ÑÐ¿ÐµÑÐ¸ÑÐ¸ÐºÐ¸ ÑÐµÐ°Ð»ÑÐ½ÑÑ Ð·Ð°Ð´Ð°Ñ ÐºÐ¾Ð¼Ð¿Ð¾Ð½Ð¾Ð²ÐºÐ¸
title: Development of algorithms for placement of flat objects taken into account the specifics of real layout problems
Creators: name: Ð§ÐµÐºÐ°Ð½Ð¸Ð½, ÐÐ»Ð°Ð´Ð¸ÑÐ»Ð°Ð²
name: Ð§ÐµÐºÐ°Ð½Ð¸Ð½, ÐÐ»ÐµÐºÑÐ°Ð½Ð´Ñ
name: "Ð¡Ð¾Ð²ÑÐµÐ¼ÐµÐ½Ð½Ð¾Ðµ Ð¼Ð°ÑÐ¸Ð½Ð¾ÑÑÑÐ¾ÐµÐ½Ð¸Ðµ: Ð½Ð°ÑÐºÐ° Ð¸ Ð¾Ð±ÑÐ°Ð·Ð¾Ð²Ð°Ð½Ð¸Ðµ", Ð¼ÐµÐ¶Ð´ÑÐ½Ð°ÑÐ¾Ð´Ð½Ð°Ñ Ð½Ð°ÑÑÐ½Ð°Ñ ÐºÐ¾Ð½ÑÐµÑÐµÐ½ÑÐ¸Ñ (13; 2024; Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³)
Publisher: name: ÐÐÐÐÐ¢ÐÐ¥-ÐÐ ÐÐ¡Ð¡
Year: 2024
Subjects: ÐÐ»Ð³Ð¾ÑÐ¸ÑÐ¼Ñ
ÐÐ¾Ð¼Ð¿ÑÑÑÐµÑÐ½Ð¾Ðµ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ
Ð·Ð°Ð´Ð°ÑÐ¸ ÑÐ°ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸
ÐºÐ¾Ð¼Ð¿Ð¾Ð½Ð¾Ð²ÐºÐ°
Ð¼Ð¾Ð´ÐµÐ»Ñ Ð¿Ð¾ÑÐµÐ½ÑÐ¸Ð°Ð»ÑÐ½ÑÑ ÐºÐ¾Ð½ÑÐµÐ¹Ð½ÐµÑÐ¾Ð²
Ð¾ÑÑÐ¾Ð³Ð¾Ð½Ð°Ð»ÑÐ½ÑÐ¹ Ð¼Ð½Ð¾Ð³Ð¾Ð³ÑÐ°Ð½Ð½Ð¸Ðº
Ð²Ð¾ÐºÑÐµÐ»Ð¸Ð·Ð°ÑÐ¸Ñ
packing problems
layout
model of potential containers
orthogonal polyhedron
voxelization

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description: The paper presents developed placement algorithms that allow solving the problem of optimized placement of a given set of flat objects, taking into account additional restrictions specified when arranging real objects. A description of the algorithm for setting individual indents for all placed objects is given, restricted zones are introduced, an algorithm is proposed for uniformly arranging a set of objects across the placement space, a placement algorithm is described taking into account several starting points for placement, a speedoptimized algorithm for placing orthogonal polyhedra is proposed, and the procedure for selecting an angle of objects to be packed is described. Examples of various layouts obtained using the developed placement algorithms are given.