Publication: Modeling and Visualization of Complex Shaped Surfaces Using Interpolation Curves
Файлы
Дата
2024
Авторы
Konopatskiy, E. V.
Bezdytniy, A. A.
Journal Title
Научная визуализация
Journal ISSN
Volume Title
Научная визуализация
Издатель
НИЯУ МИФИ
Аннотация
This article presents an approach to modeling and visualizing surfaces of complex shapes using interpolation curves with predetermined geometric properties. A modified Bezier curve of n-order was used as interpolation curves. Modification of a Bezier arc into an interpolation curve is possible both with and without preserving tangents. When preserving tangents, the Bezier arc retains its properties as a contour arc and acquires the ability to pass through preset points. The considered modification is possible in several variations: universal, based on the uniform distribution of the parameter during the modification process, and adaptive, when the parameter values are adapted to the initial data. The use of interpolation curves makes it possible to implement a special case of the moving simplex method, an analogue of which in geometric modeling and computer-aided design systems is the section operation (or lofting). The difference is that a continuous curve is used as a generating surface instead of a piecewise one. To ensure the functionality of such a connection, we give examples of models of the surface of an onion dome and a vase using various guides. An analysis of the obtained results was carried out. The introduction of research results into CAD/CAM will significantly expand their tools in terms of shape formation and visualization of surfaces and bodies that have predetermined geometric requirements.
Описание
Ключевые слова
Lofting , Section operation , Shaping operations , Moving simplex method , Interpolation curves , Surface , Geometric modeling
Цитирование
E.V. Konopatskiy, A.A. Bezdytniy. Modeling and Visualization of Complex Shaped Surfaces Using Interpolation Curves (2024). Scientific Visualization 16.4: 1 - 10, DOI: 10.26583/sv.16.4.01