Name
Abstract | ||
|---|---|---|
This paper is concerned with blending algebraic implicit curve and surface representation where the functional representations have inaccuracies. Algebraic implicit interval curves and surfaces are first defined as interval algebraic objects. The interval Buchberger algorithm, relying on polynomial interval division, is then outlined. General blending problems for algebraic implicit curves and surfaces are considered and various continuity conditions are applied. Computational cases are developed for specific problems. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.amc.2009.10.012 | Applied Mathematics and Computation |
Keywords | Field | DocType |
grö,buchberger’s algorithm,gröbner bases,buchberger's algorithm,interval analysis,algebraic implicit curves,algebraic implicit surfaces,bner bases,blending problems,function representation,buchberger s algorithm | Applied mathematics,Interval estimation,Buchberger's algorithm,Algebraic number,Polynomial,Mathematical analysis,Algebraic function,Implicit function,Interval arithmetic,Real algebraic geometry,Calculus,Mathematics | Journal |
Volume | Issue | ISSN |
215 | 9 | Applied Mathematics and Computation |
Citations | PageRank | References |
1 | 0.38 | 16 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Qun Lin | 1 | 78 | 14.23 |
| J.G. Rokne | 2 | 16 | 2.46 |