The AROMATH seminar will usually happen on Tuesday at 10h30-11h30 every two weeks, except for a few deviations.
The presentations will typically take place at Inria Sophia Antipolis, Byron Blanc 106, and also online.
To join online, at https://cutt.ly/aromath or with a web browser at https://cutt.ly/aromath-web
use meeting ID: 828 5859 7791, passcode: 123
Jana Vráblíková (Inria Aromath) - Arc spline approximation of envelopes
10h30-11h30
23 May 2025
The swept volume generated by a domain Omega and a motion M is the union of all positions of Omega under the motion M.
In a more general setting, deformations of the domain are allowed. The swept volume has a wide range of applications, including motion planning, geometric modeling, and collision detection.
The main challenge when computing swept volumes is identifying and extracting the the envelope of the swept volume.
While an explicit and rational parameterisation of the envelope can be computed for specific and simple domains and motions, in the general case, only an approximation of the envelope of the swept volume can be obtained.
In this talk, we focus on envelopes of planar swept volumes and their approximation by circular arcs.
