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| Content Provider | The American Society of Mechanical Engineers (ASME) Digital Collection |
|---|---|
| Author | Ashok, V. Kumar Lee, Jongho |
| Copyright Year | 2004 |
| Abstract | Implicit equations of curves and surfaces have been shown to be useful for constructing solutions for boundary value problems such that the boundary conditions are satisfied exactly. This application has generated interest in constructing solid models where the geometry is represented using implicit equations rather than parametric equations. In this paper we present a method for constructing step functions of solids that have a unit value within the solid and zero outside. A level set of this step function can then be defined as the boundary of the solid. This step function can be used not only to apply boundary conditions but also to compute volume integrals over the solid. Methods for combining step functions of solid primitives using ordinary and regularized Boolean operations to construct step functions of the Boolean result are also presented. |
| Sponsorship | Design Engineering Division and Computers and Information in Engineering Division |
| Starting Page | 483 |
| Ending Page | 492 |
| Page Count | 10 |
| File Format | |
| ISBN | 0791846970 |
| DOI | 10.1115/DETC2004-57700 |
| e-ISBN | 0791837424 |
| Volume Number | Volume 4: 24th Computers and Information in Engineering Conference |
| Conference Proceedings | ASME 2004 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference |
| Language | English |
| Publisher Date | 2004-09-28 |
| Publisher Place | Salt Lake City, Utah, USA |
| Access Restriction | Subscribed |
| Subject Keyword | Geometry Solid models Boundary-value problems Solids Algebra |
| Content Type | Text |
| Resource Type | Article |
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