Search | Engineering

Subscribe Submit

Home Journals Focus Achievement Fronts About Us 中文版

Resource Type

Journal Article 1

Year

2021 1

Keywords

Circle 1

Envelope 1

Interpolation 1

Medial axis transform 1

Skinning 1

Search scope:

排序： Display mode:

Applying Rational Envelope curves for skinning purposes

Kinga Kruppa,kruppa.kinga@inf.unideb.hu

Frontiers of Information Technology & Electronic Engineering 2021, Volume 22, Issue 2, Pages 141-286 doi: 10.1631/FITEE.1900377

Abstract: Special curves in the Minkowski space such as Minkowski Pythagorean hodograph curves play an important role in computer-aided geometric design, and their usages are thoroughly studied in recent years. Bizzarri et al. (2016) introduced the class of Rational (RE) curves, and an method for Hermite data was presented, where the resulting RE curve yielded a rational boundary for the represented domain. We now propose a new application area for RE curves: of a discrete set of input s. We show that if we do not choose the Hermite data correctly for , then the resulting RE curves are not suitable for . We introduce a novel approach so that the obtained curves touch each at previously defined points of contact. Thus, we overcome those problematic scenarios in which the location of touching points would not be appropriate for purposes. A significant advantage of our proposed method lies in the efficiency of trimming offsets of boundaries, which is highly beneficial in computer numerical control machining.

Keywords： Medial axis transform Envelope Interpolation Skinning Circle