Conversion Methods between Parametric and Implicit Curves and Surfaces

reportActive / Technical Report | Accession Number: ADA228715 | Open PDF

Abstract:

We present methods for parameterizing implicit curves and surfaces and for implicitizing parametric curves and surfaces, based on computational techniques from algebraic geometry. After reviewing the basic mathematical facts of relevance, we describe and illustrate state-of-the-art algorithms and insights for the conversions problem. Keywords Points.

Author(s):
Hoffmann, Christop M.
Author Organization(s):
PURDUE UNIV LAFAYETTE IN DEPT OF COMPUTER SCIENCES
Descriptive Note:
Technical rept.
Supplementary Note:
Also available as Rept. no. CER-90-18. DOI: 10.21236/ADA228715
Pagination:
0065

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release
Distribution Statement:
Approved For Public Release; Distribution Is Unlimited.

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
CSD-TR-975
Contract/Grant Number(s):
N00014-90-J-1599, NSF-OCR86-19817
Monitor Series:
ONR
 Subject Terms
Joint Capability Areas:
JCA_1_Force Support; JCA_1.2_Force Preparation; JCA_1.2.3_Educating; JCA_1.3_Human Capital Management; JCA_1.2.6_Concepts; JCA_1.3.2_Personnel Management; JCA_5_Command and Control
Communities of Interest:
Air Platforms
Descriptor(s):
*PARAMETRIC ANALYSIS, *CURVES(GEOMETRY), COMPUTATIONS, ALGEBRAIC GEOMETRY, STATE OF THE ART, ALGORITHMS, CONVERSION
Field(s)/Group(s):
Numerical Mathematics
Report Date:
1990 Apr 01