In:
ACM SIGSAM Bulletin, Association for Computing Machinery (ACM), Vol. 39, No. 3 ( 2005-09), p. 80-81
Abstract:
Determining the topology of an algebraic surface is not only an interesting mathematical problem, but also a key issue in computer graphics and CAGD. An algorithm is proposed to determine the intrinsic topology of an implicit real algebraic surface f ( x,y,z ) = 0 in R 3 , where f ( x,y,z ) ∈ Q [ x,y,z ] and Q is the field of rational numbers. There exist algorithms to determine the topology for algebraic surfaces of special type [2, 3, 4, 7]. The CAD method proposed by Collins [1] can divide the space into cylindrical parts. But it does not give the connection information neither the intrinsic representation.
Type of Medium:
Online Resource
ISSN:
0163-5824
DOI:
10.1145/1113439.1113444
Language:
English
Publisher:
Association for Computing Machinery (ACM)
Publication Date:
2005
detail.hit.zdb_id:
2478700-0
detail.hit.zdb_id:
243811-2
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