INAThis paper describesen augmentationti the spline conceptto accountfor topologicalrelations between different spline curves. Theee topological relations include incidence relationa,constrainingthe extremesof spline curves tQother spline curves, and also more generalgeometric relations,for example, involving the tangents of spline curves in their extremes.To maintain these incidencerelations,some spline curves may have to be transformed(translated,rotated, scaled),or even deformed(i.e., the shapeof the curve may change)as a resultof modifyingother spline curves.A data structureand algorithmsare given to implementthe propagationof these transformationsand deformations.Based on the augmentedspline concept, to be called stkky splines, both a script system to represent spline structures and an interactive system for editing drawings while automatically maintaining their topological structure are presented.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.
hi@scite.ai
10624 S. Eastern Ave., Ste. A-614
Henderson, NV 89052, USA
Copyright © 2024 scite LLC. All rights reserved.
Made with 💙 for researchers
Part of the Research Solutions Family.