منابع مشابه
Swept Volumes
Given a solid S ⊂ R with a piecewise smooth boundary, we compute an approximation of the boundary surface of the volume which is swept by S under a smooth one-parameter motion. Using knowledge from kinematical and elementary differential geometry, the algorithm computes a set of points plus surface normals from the envelope surface. A study of the evolution speed of the so called characteristic...
متن کاملImage-Swept Volumes
Many graphical objects can be represented by swept volumes (including its subset – generalised cylinders) by sweeping 2D or 3D templates along 3D trajectories. In this paper, we present a new approach for constructing swept volumes using image templates. We utilise scalar fields as our underlying data type, and employ volume ray casting techniques for rendering swept volumes in their original s...
متن کاملComputing swept volumes
The swept volume problem is practical, dif®cult and interesting enough to have received a great deal of attention over the years, and the literature contains much discussion of methods for computing swept volumes in many situations. The method presented here permits an arbitrary polyhedral object (given in a typical boundary representation) to be swept through an arbitrary trajectory. A polyhed...
متن کاملVolumes of Solids Swept Tangentially Around Cylinders
In earlier work ([1]-[5]) the authors used the method of sweeping tangents to calculate area and arclength related to certain planar regions. This paper extends the method to determine volumes of solids. Specifically, take a region S in the upper half of the xy plane and allow the plane to sweep tangentially around a general cylinder with the x axis lying on the cylinder. The solid swept by S i...
متن کاملComputing Swept Volumes for Sensor Planning Tasks
This paper discusses the computation of the volumes swept by polyhedral objects moving through space and how these volumes can be used for sensor planning in active environments. It presents some new results in the computation of the approximate volumes swept by polyhedral objects as they undergo arbitrary motions. An algorithm is presented which approximates these volumes under a restricted cl...
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ژورنال
عنوان ژورنال: Computer-Aided Design and Applications
سال: 2005
ISSN: 1686-4360
DOI: 10.1080/16864360.2005.10738324