Image warping using radial basis functions

被引：11
|
作者：
Chen, Ting-Li [1 ]
Geman, Stuart [2 ]
机构：
[1] Acad Sinica, Inst Stat Sci, Taipei 11529, Taiwan
[2] Brown Univ, Div Appl Math, Providence, RI 02912 USA
来源：
JOURNAL OF APPLIED STATISTICS | 2014年 / 41卷 / 02期
基金：
美国国家科学基金会;
关键词：
thin plate spline; image warping; image morphing; data interpolation; optimization; SCATTERED DATA INTERPOLATION; BIVARIATE;
D O I：
10.1080/02664763.2013.838667
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
Image warping is the process of deforming an image through a transformation of its domain, which is typically a subset of R-2. Given the destination of a collection of points, the problem becomes one of finding a suitable smooth interpolation for the destinations of the remaining points of the domain. A common solution is to use the thin plate spline (TPS). We find that the TPS often introduces unintended distortions of image structures. In this paper, we will analyze interpolation by TPS, experiment with other radial basis functions, and suggest two alternative functions that provide better results.
引用
收藏
页码：242 / 258
页数：17
相关论文
共 50 条
  • [1] IMAGE WARPING BY RADIAL BASIS FUNCTIONS - APPLICATION TO FACIAL EXPRESSIONS
    ARAD, N
    DYN, N
    REISFELD, D
    YESHURUN, Y
    [J]. CVGIP-GRAPHICAL MODELS AND IMAGE PROCESSING, 1994, 56 (02): : 161 - 172
  • [2] IMAGE WARPING USING FEW ANCHOR POINTS AND RADIAL FUNCTIONS
    ARAD, N
    REISFELD, D
    [J]. COMPUTER GRAPHICS FORUM, 1995, 14 (01) : 35 - 46
  • [3] AN IMPROVED RADIAL BASIS FUNCTION BASED METHOD FOR IMAGE WARPING
    Nie Xuan Zhao Rongchun Zhang Cheng Zhang Xiaoyan College of computer Northwestern Polytechnical University Xian China
    [J]. JournalofElectronics, 2005, (04) - 426
  • [4] AN IMPROVED RADIAL BASIS FUNCTION BASED METHOD FOR IMAGE WARPING
    Nie Xuan Zhao Rongchun Zhang Cheng Zhang Xiaoyan (College of computer
    [J]. Journal of Electronics(China), 2005, (04) : 422 - 426
  • [5] Image decomposition by radial basis functions
    Andersen, JD
    [J]. IMAGE ANALYSIS, PROCEEDINGS, 2003, 2749 : 749 - 754
  • [6] A New Image Rotation Approach Using Radial Basis Functions
    Cheng, Huifang
    Wan, Yi
    [J]. 2015 8TH INTERNATIONAL CONGRESS ON IMAGE AND SIGNAL PROCESSING (CISP), 2015, : 1026 - 1031
  • [7] Image registration using radial basis functions with adaptive radius
    Shusharina, Nadezhda
    Sharp, Gregory
    [J]. MEDICAL PHYSICS, 2012, 39 (11) : 6542 - 6549
  • [8] Facial expression synthesis by Radial Basis Function network and image warping
    Leung, MYY
    Hui, HY
    King, I
    [J]. ICNN - 1996 IEEE INTERNATIONAL CONFERENCE ON NEURAL NETWORKS, VOLS. 1-4, 1996, : 1400 - 1405
  • [9] Image-based talking heads using radial basis functions
    Edge, JD
    Maddock, S
    [J]. THEORY AND PRACTICE OF COMPUTER GRAPHICS, PROCEEDINGS, 2003, : 74 - 80
  • [10] Radial Basis Functions for the image analysis of deformations
    Biancolini, M. E.
    Salvini, P.
    [J]. COMPUTATIONAL MODELLING OF OBJECTS REPRESENTED IN IMAGES: FUNDAMENTALS, METHODS AND APPLICATIONS III, 2012, : 361 - 365
12345