A second-order PDE technique to construct distance functions with more accurate derivatives.

被引:0
|
作者
Manay, S [1 ]
Yezzi, A [1 ]
机构
[1] Georgia Inst Technol, Sch Elect & Comp Engn, Atlanta, GA 30332 USA
关键词
D O I
暂无
中图分类号
TB8 [摄影技术];
学科分类号
0804 ;
摘要
In this paper we demonstrate the use of an anisotropic PDE to improve the behavior of first and second derivatives of a distance function. We begin by deriving a property of these derivatives and showing a natural relationship between this property and the anti-geometric heat flow. We then construct a PDE that combines a known first-order PDE with the anti-geometric flow and then demonstrate its effectiveness with a discrete simulation.
引用
收藏
页码:873 / 876
页数:4
相关论文
共 50 条
  • [31] Using inclusion complexes for achieving second-order advantage: A novel technique for cinnamic acid derivatives analysis with second-order calibration methods
    Nikpour, Hamidreza
    Mousavi, Mehdi
    Asadollahzadeh, Hamideh
    JOURNAL OF CHEMOMETRICS, 2019, 33 (04)
  • [32] Transfer Functions of Second-Order Digital Filters with Two Equal Second-Order Modes
    Yamaki, Shunsuke
    Abe, Masahide
    Kawamata, Masayuki
    2012 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS 2012), 2012,
  • [33] A technique to construct symmetric variable-stepsize linear multistep methods for second-order systems
    Cano, B
    Durán, A
    MATHEMATICS OF COMPUTATION, 2003, 72 (244) : 1803 - 1816
  • [34] A Second-Order Algorithm for the Distance Of A Point to An Epigraph
    Zhao, Wenhui
    Li, Ruan
    Gao, Yan
    2018 IEEE 4TH INTERNATIONAL CONFERENCE ON CONTROL SCIENCE AND SYSTEMS ENGINEERING (ICCSSE 2018), 2018, : 6 - 9
  • [35] Submanifolds that are level sets of solutions to a second-order elliptic PDE
    Enciso, Alberto
    Peralta-Salas, Daniel
    ADVANCES IN MATHEMATICS, 2013, 249 : 204 - 249
  • [36] Conformal geometry of surfaces in the Lagrangian Grassmannian and second-order PDE
    The, Dennis
    PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 2012, 104 : 79 - 122
  • [37] On uniqueness of continuation for polynomials of solutions to second-order elliptic PDE
    Belishev, M. I.
    Filonov, N. D.
    Krymskiy, S. T.
    Vakulenko, A. F.
    APPLICABLE ANALYSIS, 2022, 101 (10) : 3689 - 3696
  • [38] More on a rational second-order difference equation
    Stevic, Stevo
    Alghamdi, Mohammed A.
    Alotaibi, Abdullah
    Shahzad, Naseer
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 236 : 565 - 571
  • [39] Robust second-order accurate discretizations of the multi-dimensional Heaviside and Dirac delta functions
    Min, Chohong
    Gibou, Frederic
    JOURNAL OF COMPUTATIONAL PHYSICS, 2008, 227 (22) : 9686 - 9695
  • [40] The Effect of Pressure and Temperature on the Second-Order Derivatives of the Free Energy Functions for Lower Alkanediols
    Edward Zorębski
    International Journal of Thermophysics, 2014, 35 : 890 - 913