Talks & Seminars
Title: Towards a theory and implementation of solid sweeps
Prof. Bharat Adsul, Department of Computer Science and Engineering, IIT Bombay
Date & Time: March 4, 2013 16:00
Venue: Room # SIC 301, 03rd Floor, C Block, Department of Computer Science and Engineering, Kanwal Rekhi Building
In this talk, I will describe our on-going work on modelling the boundary of the volume obtained by sweeping a solid along a trajectory of rigid motions. Sweeping is a powerful and versatile method of designing objects with a range of applications such as design of blends, conveyor screws and robot motion planning. The goal of the work is to arrive at a precise mathematical definition, an accurate representation and analysis of the swept volume boundary (also called envelope) to enable its implementation in modern CAD systems. Our approach to the representation of the envelope is via the procedural framework for defining the geometry of the envelope. The problem of detecting self-intersections of the envelope is central to a robust implementation. This has been addressed by computing a mathematical invariant which is computationally benign. I will touch upon some of these central issues during my talk. The talk is based on joint work with Jinesh Machchhar and Milind Sohoni.
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