A symbolic-numeric silhouette algorithm

被引:0
|
作者
Hirukawa, H [1 ]
Mourrain, B [1 ]
Papegay, Y [1 ]
机构
[1] Electrotech Lab, Tsukuba, Ibaraki 3058568, Japan
关键词
D O I
暂无
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We have revisited the silhouette algorithm developed by Canny, and designed its new symbolic-numeric version. The symbolic-numeric silhouette algorithm do not require the symbolic computation of the determinants of resultant matrices, and can work on floating point arithmetic. Though its combinatorial complexity remains the same, but its algebraic complexity has been improved significantly which is very important towards its implementation. Several numerical examples are also presented.
引用
收藏
页码:2358 / 2365
页数:8
相关论文
共 50 条
  • [1] THE SYMBOLIC-NUMERIC INTERFACE
    FITCH, J
    [J]. COMPUTER PHYSICS COMMUNICATIONS, 1990, 61 (1-2) : 22 - 33
  • [2] Symbolic-numeric option valuation
    Mitic, P
    [J]. INNOVATION IN MATHEMATICS, 1997, : 337 - 344
  • [3] Symbolic-numeric integration of rational functions
    Robert H. C. Moir
    Robert M. Corless
    Marc Moreno Maza
    Ning Xie
    [J]. Numerical Algorithms, 2020, 83 : 1295 - 1320
  • [4] CREATION OF EFFICIENT SYMBOLIC-NUMERIC INTERFACE
    VASILIEV, NN
    [J]. LECTURE NOTES IN COMPUTER SCIENCE, 1989, 378 : 118 - 119
  • [5] Symbolic-numeric Gaussian cubature rules
    Cuyt, Annie
    Benouahmane, Brahim
    Hamsapriye
    Yaman, Lrem
    [J]. APPLIED NUMERICAL MATHEMATICS, 2011, 61 (08) : 929 - 945
  • [6] Symbolic-numeric integration of rational functions
    Moir, Robert H. C.
    Corless, Robert M.
    Maza, Marc Moreno
    Xie, Ning
    [J]. NUMERICAL ALGORITHMS, 2020, 83 (04) : 1295 - 1320
  • [7] Symbolic-Numeric Factorization of Differential Operators
    Chyzak, Frederic
    Goyer, Alexandre
    Mezzarobba, Marc
    [J]. PROCEEDINGS OF THE 2022 INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND ALGEBRAIC COMPUTATION, ISSAC 2022, 2022, : 73 - 82
  • [8] A Symbolic-Numeric Algorithm for Computing the Alexander Polynomial of a Plane Curve Singularity
    Hodorog, Madalina
    Mourrain, Bernard
    Schicho, Josef
    [J]. 12TH INTERNATIONAL SYMPOSIUM ON SYMBOLIC AND NUMERIC ALGORITHMS FOR SCIENTIFIC COMPUTING (SYNASC 2010), 2011, : 21 - 28
  • [9] Symbolic-Numeric Algorithm for Calculations in Geometric Collective Model of Atomic Nuclei
    Deveikis, Algirdas
    Gusev, Alexander A.
    Vinitsky, Sergue, I
    Blinkov, Yuri A.
    Gozdz, Andrzej
    Pedrak, Aleksandra
    Hess, Peter O.
    [J]. COMPUTER ALGEBRA IN SCIENTIFIC COMPUTING (CASC 2022), 2022, 13366 : 103 - 123
  • [10] THE SYMBOLIC-NUMERIC INTERFACE - A ZOSTERIC APPROACH
    DANES, P
    AGUILARMARTIN, J
    [J]. APPLIED ARTIFICIAL INTELLIGENCE, 1995, 9 (05) : 451 - 478