C2 popunjavanje praznina pomoću konveksne kombinacije ploha pod rubnim ograničenjima

Two surface generation methods are presented, one for connecting two surfaces with C2 continuity while matching also two prescribed border lines on the free sides of the gap, and one for G1 filling a three-sided hole in a special case. The surfaces are generated as convex combination of surface and curve constituents with an appropriate correction function, and are represented in parametric form.Dane su dvije metode za izvođenje ploha. Jedna za povezivanje dviju ploha sa C2 neprekinutošću koja odgovara i dvjema graničnim linijama, a druga za G1 popunjavanje posebnog slučaja trostrane rupe. Plohe se izvode kao konveksna kombinacija plošnih i krivuljnih sastavnih dijelova sa odgovarajućom korektivnom funkcijom, a dane su u parametarskom obliku

C2 popunjavanje praznina pomoću konveksne kombinacije ploha pod rubnim ograničenjima

Two surface generation methods are presented, one for connecting two surfaces with C2 continuity while matching also two prescribed border lines on the free sides of the gap, and one for G1 filling a three-sided hole in a special case. The surfaces are generated as convex combination of surface and curve constituents with an appropriate correction function, and are represented in parametric form.Dane su dvije metode za izvođenje ploha. Jedna za povezivanje dviju ploha sa C2 neprekinutošću koja odgovara i dvjema graničnim linijama, a druga za G1 popunjavanje posebnog slučaja trostrane rupe. Plohe se izvode kao konveksna kombinacija plošnih i krivuljnih sastavnih dijelova sa odgovarajućom korektivnom funkcijom, a dane su u parametarskom obliku

www.elsevier.com/locate/comaid Generating curves and swept surfaces by blended circles

We present an improved version of the spline curve defined by H.-J. Wenz (1996) for the interpolation of 2D curve data. This trigonometrically blended spline is curvature continuous, interpolates 3D curve data, and is generated by convex combinations of circular arcs and straight line segments. As an application we show a method for rounding off the vertices of spatial polygonal lines and generating swept surfaces. © 2000 Elsevier Science B.V. All rights reserved