Directional analysis of digitized three-dimensional images by configuration counts

被引:5
作者
Gutkowski, P
Jensen, EBV
Kiderlen, M
机构
[1] Tech Univ Lodz, Inst Elect, Med Elect Div, PL-90924 Lodz, Poland
[2] Aarhus Univ, Dept Math Sci, DK-8000 Aarhus C, Denmark
[3] Univ Karlsruhe, Math Inst 2, D-76128 Karlsruhe, Germany
来源
JOURNAL OF MICROSCOPY-OXFORD | 2004年 / 216卷
关键词
configuration; design-based approach; normal measure; orientation distribution; orientated rose; 3D binary image;
D O I
10.1111/j.0022-2720.2004.01405.x
中图分类号
TH742 [显微镜];
学科分类号
摘要
A method for estimating the orientated rose of normal directions of a three-dimensional (3D) set Z from a digitization of Z, i.e. a voxel image, is presented. It is based on counts of informative configurations in nxnxn voxel cubes. An algorithm for finding all informative configurations is proposed and an estimation procedure is described in detail for the case n = 2. The presented method is a 3D version of a method of estimating the orientated rose of binary planar images using nxn configurations. A new feature is the design-based approach, being more appropriate for biomedical image analysis than the formerly applied model-based approach.
引用
收藏
页码:175 / 185
页数:11
相关论文
共 9 条
  • [1] Gardner RJ, 2003, DISCRETE COMPUT GEOM, V29, P279, DOI 10.1007/S00454-002-0759-2
  • [2] Directional analysis of digitized planar sets by configuration counts
    Jensen, EBV
    Kiderlen, M
    [J]. JOURNAL OF MICROSCOPY-OXFORD, 2003, 212 : 158 - 168
  • [3] Estimation of the directional measure of planar random sets by digitization
    Kiderlen, M
    Jensen, EBV
    [J]. ADVANCES IN APPLIED PROBABILITY, 2003, 35 (03) : 583 - 602
  • [4] MILES RE, 1978, LECTURE NOTES BIOMAT, V23, P115
  • [5] Ohser Joachim., 2000, STAT ANAL MICROSTRUC
  • [6] Schneider R., 2000, Stochastische Geometrie
  • [7] SERRA J, 1969, 3 ENSMP
  • [8] WEIL W., 1997, REND CIRC MAT PALE S, V50, P387
  • [9] WEIL W, 1997, ADV THEORY APPL RAND, P21