12 citations · 12 across the 3 of their papers we have counts for
3 papers
cs.GR2019
Extending editing capabilities of subdivision schemes by refinement of point-normal pairs
Evgeny Lipovetsky, Nira Dyn
In this paper we extend the 2D circle average of [11] to a 3D binary average of point-normal pairs, and study its properties. We modify classical surface-generating linear subdivis…
cs.GR2019
Subdivision of point-normal pairs with application to smoothing feasible robot path
Evgeny Lipovetsky
In a previous paper [11] we introduced a weighted binary average of two 2D point-normal pairs, termed circle average, and investigated subdivision schemes based on it. These scheme…
cs.GR2016★ 12 cited
A weighted binary average of point-normal pairs with application to subdivision schemes
Evgeny Lipovetsky, Nira Dyn
Subdivision is a well-known and established method for generating smooth curves and surfaces from discrete data by repeated refinements. The typical input for such a process is a m…