Kovtun A. Spesial polynomial splines of the third, fourth and fifth degrees in geometrical modeling.

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0406U005164

Thesis Registration Form

0406U005164.pdf

Applicant for

Specialization

  • 05.01.01 - Прикладна геометрія, інженерна графіка

28-11-2006

Specialized Academic Board

Д26.056.06

Essay

Work is devoted to development and research of properties special polynomial splines of the third, fourth and fifth degrees and to modeling on their basis of smooth curves and surfaces. In the dissertation the new way of representation of segments of thirds, the fourth and fifth degrees with managing points which belong to a curve is offered. As various variants of representation of segments of polynoms of the fourth and fifth degrees on the set points, the first and in them and in the middle of a segment are offered. On the basis of offered polynomial segments methods of the task and calculation spline curves with achievement of smoothness from orders are offered/ Various ways of the task regional conditions: points, the first, the second and the third derived are considered. Properties of the received splines are investigated. It is shown, that all not local splines have property to attenuation oscillations, and with increase in a degree of a spline these properties grow at achievement of the same order of smoothness.

Read more

Files

1Titul+1ja glava.doc

2 Розділ .doc

3 Rozdi.doc

4 Rozdil.doc

5 Rozdil.doc

DODATKI-1інструкція користувача.doc

DODATKI-2інструкція проограміста .doc

DODATKI-Five-spline ПАКЕТ ПРОГРАММ МОДЕЛ. СПЛАЙНАМИ 5 СТ.doc

DODATKI-Four-spline ПАКЕТ ПРОГРАММ МОДЕЛ. СПЛАЙНАМИ 4 СТ.doc

DODATKI-Kub-spline ПАКЕТ ПРОГРАММ МОДЕЛ. СПЛАЙНАМИ 3 СТЕПЕНИ.doc

DODATKI-ВПРОВАДЖЕННЯ В ІДГУ.doc

DODATKI-ВПРОВАДЖЕННЯ В АКБ АНТОНОВ.doc

DODATKI-ВПРОВАДЖЕННЯ В КІЛІЮ.doc

DODATKI-ВПРОВАДЖЕННЯ В КДАВТ.doc

DODATKI-ДОДАТОК А.doc

DODATKI-Додаток Б.doc

DODATKI-ТЕСТОВІ ПРИКЛАДИ СПЛАЙНІВ 3-ГО СТЕПЕНЯ.doc

DODATKI-ТЕСТОВІ ПРИКЛАДИ СПЛАЙНІВ 4-ГО СТЕПЕНЯ.doc

DODATKI-ТЕСТОВІ ПРИКЛАДИ СПЛАЙНІВ 5-ГО СТЕПЕНЯ.doc

aref.doc

СПИСОК ВИКОРИСТАНИХ ДЖЕРЕЛ.doc

Similar theses

0422U100045

Mohylianets Tetyna M.

Profiling of mating curved surfaces for the design of specialized equipment

0422U100030

Borysyuk Oksana Viktorivna

Graph-analytical models of localization of construction projects.

0521U102122

Mostovenko Oleksandr Volodumurovich

Geometric models of physical fields

0421U103975

YAKUSEVYCH ANDRII HRYHOROVYCH

Geometric modeling of cluster organizational structures

0421U103973

YAKUSEVYCH SERHII HRYHOROVYCH

Geometric modelling of effective constructions of buildings’ fasades insulation