On reconstruction of surfaces by shadow contours

被引：0
|
作者：
Begmatov, A.H. [1 ]
机构：
[1] Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Acad. Koptyug prosp., 4, Novosibirsk 630090, Russia
来源：
Journal of Inverse and Ill-Posed Problems | 2002年 / 10卷 / 03期
关键词：
D O I：
10.1515/jiip.2002.10.3.213
中图分类号：
学科分类号：
摘要：
The problem of reconstruction of surfaces based on a given plane by their shadow contours is considered. The optical projection of the surface point and shadow contours with respect to perpendicular and optical projection is introduced. Necessary and sufficient conditions of unique reconstruction of a plane curve by complete set of optical and perpendicular projections of their points are presented. A uniqueness result on the problem is obtained in the case of smooth hat-shaped surface. A uniqueness theorem for the problem of simultaneous reconstruction of two nonintersecting piecewise-smooth hat-shaped surfaces by complete set of their shadows is proved.
引用
收藏
页码：213 / 220
相关论文
共 50 条
  • [1] Reconstruction of surfaces from contours
    Jia, Chao
    Nie, Shaomin
    Chen, Fei
    Sun, Yanyan
    Jixie Gongcheng Xuebao, 11 (198-202):
  • [2] Reconstruction and simplification of surfaces from contours
    Klein, R
    Schilling, A
    Strasser, W
    GRAPHICAL MODELS, 2000, 62 (06) : 429 - 443
  • [3] Methods for the dynamic control of the shape and dimensions of microelements with reconstruction by the contours of shadow projections
    Domoratskij, E.P.
    Atomnaya Energiya, 1993, 75 (08): : 132 - 138
  • [4] On reconstruction of surfaces from their apparent contours and the stationary phase observations
    Golubyatnikov, VP
    Pekmen, U
    Karaca, I
    Ozyilmaz, E
    Tantay, B
    SHAPE MODELING INTERNATIONAL '99 - INTERNATIONAL CONFERENCE ON SHAPE MODELING AND APPLICATIONS, PROCEEDINGS, 1999, : 116 - 120
  • [5] Reconstruction of surfaces from planar contours through contour interpolation
    Sunderland, Kyle
    Woo, Boyeong
    Pinter, Csaba
    Fichtinger, Gabor
    MEDICAL IMAGING 2015: IMAGE-GUIDED PROCEDURES, ROBOTIC INTERVENTIONS, AND MODELING, 2015, 9415
  • [6] WHATS BEHIND THE SHADOW CONTOURS
    MAMASSIAN, P
    KNILL, DC
    KERSTEN, D
    INVESTIGATIVE OPHTHALMOLOGY & VISUAL SCIENCE, 1991, 32 (04) : 1278 - 1278
  • [7] Reconstruction of lambertian surfaces by discrete equal height contours and regions propagation
    Braquelaire, A
    Kerautret, B
    IMAGE AND VISION COMPUTING, 2005, 23 (02) : 177 - 189
  • [8] Affine reconstruction of curved surfaces from uncalibrated views of apparent contours
    Sato, J
    Cipolla, R
    IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1999, 21 (11) : 1188 - 1198
  • [9] Reconstruction of variational implicit surfaces from parallel contours for medical imaging
    Peri, D
    Crespin, B
    VISION, MODELING, AND VISUALIZATION 2003, 2003, : 175 - 182
  • [10] Affine reconstruction of curved surfaces from uncalibrated views of apparent contours
    Sato, J
    Cipolla, R
    SIXTH INTERNATIONAL CONFERENCE ON COMPUTER VISION, 1998, : 715 - 720
12345