Motion estimation of plane polynomial curves

被引：1
|
作者：
Unel, M [1 ]
Ghosh, BK [1 ]
机构：
[1] Sabanci Univ, Fac Engn & Nat Sci, TR-34956 Istanbul, Turkey
来源：
ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7 | 2005年
关键词：
D O I：
10.1109/ACC.2005.1470142
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we are interested in the motion estimation of a planar free-form object whose boundary is represented by a plane polynomial curve. We develop new Riccati equations in real variables for the slope and intercept parameters of the line factors obtained from the decomposition of the closed-bounded polynomial curve. We also derive new recursions on multiplicative scalars of the decomposition. For the estimation of motion parameters, an adaptive scheme has been employed and the results are verified by simulations.
引用
收藏
页码：1289 / +
页数：2
相关论文
共 50 条
  • [1] On polynomial curves in the affine plane
    Fujimoto, Mitsushi
    Suzuki, Masakazu
    Yokoyama, Kazuhiro
    [J]. OSAKA JOURNAL OF MATHEMATICS, 2006, 43 (03) : 597 - 608
  • [2] MOTION OF CURVES IN THE PLANE
    NAKAYAMA, K
    WADATI, M
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (02) : 473 - 479
  • [3] MOTION OF DISCRETE CURVES IN THE PLANE
    HISAKADO, M
    NAKAYAMA, K
    WADATI, M
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1995, 64 (07) : 2390 - 2393
  • [4] The KdV equation and motion of plane curves
    Chou, KS
    Qu, CZ
    [J]. JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2001, 70 (07) : 1912 - 1916
  • [5] Plane polynomial vector fields with prescribed invariant curves
    Walcher, S
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2000, 130 : 633 - 649
  • [6] Polynomial Carleson Operators Along Monomial Curves in the Plane
    Guo, Shaoming
    Pierce, Lillian B.
    Roos, Joris
    Yung, Po-Lam
    [J]. JOURNAL OF GEOMETRIC ANALYSIS, 2017, 27 (04) : 2977 - 3012
  • [7] Recognition of polynomial plane curves under affine transformations
    Mozo-Fernández, J
    Munuera, C
    [J]. APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 2002, 13 (02) : 121 - 136
  • [8] Recognition of Polynomial Plane Curves Under Affine Transformations
    Jorge Mozo-Fernández
    Carlos Munuera
    [J]. Applicable Algebra in Engineering, Communication and Computing, 2002, 13 : 121 - 136
  • [9] LEVEL CURVES OF OPEN POLYNOMIAL FUNCTIONS ON THE REAL PLANE
    FERRERA, J
    DELAPUENTE, MJ
    [J]. COMMUNICATIONS IN ALGEBRA, 1994, 22 (14) : 5973 - 5981
  • [10] Motion curves for parametric shape and motion estimation
    Bazin, PL
    Vézien, JM
    [J]. COMPUTER VISION - ECCV 2002, PT II, 2002, 2351 : 262 - 276
12345