Application of beam theory for the construction of twice differentiable closed contours based on discrete noisy points
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Дата
2022
Науковий керівник
Назва журналу
Номер ISSN
Назва тому
Видавець
КПІ ім. Ігоря Сікорського
Анотація
The smoothing of measured noisy positions of discrete points has considerable
significance in various industries and computer graphic applications. The idea
of work consists of the employment of the technique of beam with spring supports.
The local coordinates systems are established for beam straight line segments, where
the initial angles between them are accounted for in the conjugation equations,
which provide the angular continuity. The notions of imaginary points are introduced,
the purpose of which is to approach the real length of the smoothed contour
to the length of the straight chord. Several examples of closed denoised curve reconstruction
from an unstructured and highly noisy 2D point cloud are presented.
Опис
Ключові слова
spline, elastic beam, spring support, closed contour, imaginary point, noisy data, сплайн, пружна балка, опора, замкнутий контур, уявна точка, неточні дані
Бібліографічний опис
Application of beam theory for the construction of twice differentiable closed contours based on discrete noisy points / I. Orynyak, D. Koltsov, O. Chertov, R. Mazuryk // Системні дослідження та інформаційні технології : міжнародний науково-технічний журнал. – 2022. – № 4. – С. 119-140. – Бібліогр.: 12 назв.