Hodofraph construction of dense distribution vector function
DOI:
https://doi.org/10.15587/2313-8416.2015.35876Keywords:
construction, hodograph, dense distribution vector function, coordinate axes, movement direction, cuttingAbstract
The mathematical problem of combining figures with its mutual nonintersection is shown in this article. It is considered the detail method of hodograph construction of dense distribution vector function of two figures to solve this problem. It is illustrated the basic properties of hodograph vector function of dense distribution. It is shown the incremental algorithm for calculating hodograph coordinates. Some examples of the need for hodograph construction for industrial needs are given
References
Morekhodov, G. A. (1969). Ratsionalnoe ispolzovanie tekstinykh i iskustvenykh materialov pri raskroe na detail obuvi. Moscow: TSNIITYEIlegprom, 157.
Stoyan, Yu. G. (1970). Ob optimal’nom razmeschenii geometricheskikh obyektov. Moscow: 50.
Stoyan, Yu. G. (1975). Razmeshcheniye geometricheskikh obyektov. K.: Naukova dumka, 175.
Maykl, Laslo (1997). Vychislitelnaya geometriya i kompyuternaya grafika na C++. M.:Izdatelstvo “BINOM”, 340.
Vygodsky, M. Ya. (1956). Spravochnik po vysshey matematike. M., Hosudarstvenyi izdatelskiy dom tekhnicheskoy I teoreticheskoy literatury, 786.
Zalgaller, V. A. (1953). Ob odnom neobkhodimom priznake plotneyschego raspolozheniya figur. Moscow:UMN, 4, 47.
Kantorovich, L. V., Zalgaller, V. A. (1951). Rastshet ratzionalnogo raskroya promyshlenych materialov. Spb.:Lenizdat, 128.
Mukhacheva, Ye. A. (1966). Ratsionalnyy raskroy pryamougolnykh listov na pryamoougolnye zagotovki. Novosibirsk, Optimal planning, 6, 39–41.
Tot, L. F. (1958). Raspolozhenie na ploskosti, v sfere i prostranstve. Moscow: Fizmattiz, 132.
Chuprinka, V. I., Murzhenko, V. S., Omelchenko, P. V. (2010). Algoritm postroyeniya opornoy funktsii dlya ploskikh geometricheskikh obyektov. Mezhdunarodnyy zbornik nauchnykh trudov "Technicheskoe regulirovanie: bazovye osnovy kachestva materialov, tovarov i uslug", Shachty: YuRGUES, 137–141.
Downloads
Published
Issue
Section
License
Copyright (c) 2015 Тарас Миколайович Гаврилов
This work is licensed under a Creative Commons Attribution 4.0 International License.
Our journal abides by the Creative Commons CC BY copyright rights and permissions for open access journals.
Authors, who are published in this journal, agree to the following conditions:
1. The authors reserve the right to authorship of the work and pass the first publication right of this work to the journal under the terms of a Creative Commons CC BY, which allows others to freely distribute the published research with the obligatory reference to the authors of the original work and the first publication of the work in this journal.
2. The authors have the right to conclude separate supplement agreements that relate to non-exclusive work distribution in the form in which it has been published by the journal (for example, to upload the work to the online storage of the journal or publish it as part of a monograph), provided that the reference to the first publication of the work in this journal is included.