Fillet and surface intersections defined by rolling balls
type: Item
instance of: scholarly article
title: Fillet and surface intersections defined by rolling balls
zbMATH Open document ID: 0760.65014
DOI: 10.1016/0167-8396(92)90016-I
author: Reinhold Klass
author: Bernhard Kuhn
published in: Computer Aided Geometric Design
publication date: 1992-10-13T00:00:00Z
review text: The problem addressed here is to connect two surface patches by a third surface tangent to the two given ones along smooth curves. The authors use envelopes of spheres of constant radius as fillet surface. The problem is to compute the curve of centers of these spheres together with the curves of contact with the two given surfaces. The authors show explicitly how to obtain cubic spline approximations of the three curves for one segment. The segments will form \(C^ 1\) curves when appropriately patched together.
Mathematics Subject Classification ID: 65D17
zbMATH DE Number: 68938
zbMATH Keywords: fillets
zbMATH Keywords: intersection
zbMATH Keywords: ball fillets
zbMATH Keywords: surface patches
zbMATH Keywords: envelopes of spheres
zbMATH Keywords: cubic spline
reviewed by: Heinrich Guggenheimer
MaRDI profile type: Publication
cites work: Tracing surface intersections
cites work: Surface/surface intersection
cites work: Q4091004
cites work: Q4041056
cites work: Q4178157
cites work: Blending parametric surfaces
cites work: Implementation of a divide-and-conquer method for intersection of parametric surfaces
cites work: Improved test for closed loops in surface intersections
description: scientific article; zbMATH DE number 68938