Related Experiment Video
Updated: May 29, 2026

Correlative Confocal and 3D Electron Microscopy of a Specific Sensory Cell
Published on: July 19, 2015
Segmentation by texture using correlation
1Exxon Production Research Company, Houston, TX 77001.
Abstract:
The correlation coefficients are used for segmentation according to texture. They are first evaluated on a set of square regions forming two levels of the quadratic picture tree (or pyramid). If the coefficients of a square and its four children in the tree are similar, then that region is considered to be of uniform texture. If not, it is replaced by its children. In this way, the split-and-merge algorithm is used to achieve a preliminary segmentation. It is followed by a grouping algorithm using the correlation coefficients and the region adjacency graph, plus a small region elimination step. The latter regions are grouped according to their gray level because texture cannot be defined reliably on very small regions. Examples of implementation on four pictures are included.
Related Concept Videos
Shape and Texture of Coarse Aggregate
Correlation
Two variables, for example, a and b, are said to be positively correlated if both variables move in the same direction. In other words, a positive correlation exists between two variables, a and b, if:
Correlation and Regression
Correlations
Coefficient of Correlation
If you suspect a linear relationship between x and y, then r can measure how strong the linear relationship is.
What the VALUE of r tells us:
The value of r is always between –1 and +1: –1 ≤ r ≤ 1.
The size of the correlation r indicates the strength of the linear...

