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Binary Mask Eight Connected Component Labels

Label eight-connected foreground components of a supplied binary mask using row-major discovery and deterministic flood-fill; zero is background, no object identity inference.

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Description

Label eight-connected foreground components and return their cell coordinates in deterministic traversal order.

A binary grid represents foreground as numeric one and background as zero. A stencil is a set of integer [rowOffset,columnOffset] positions relative to a cell. Connectivity describes allowed neighbor steps: four-neighbor connectivity uses orthogonal steps, while eight-neighbor connectivity also includes diagonals. Finite image borders and asymmetric stencils affect the result.

Label eight-connected foreground components and return their cell coordinates in deterministic traversal order.

When to use this tool

Use eight-neighbor labels when foreground cells touching diagonally should belong to the same region.

How to use the tool and how it works

  1. Enter mask using the definitions below.
  2. Run the operation. Resolve input-format errors before interpreting an output.
  3. Read result.labels, result.components, using the stated boundary, ordering, sign and absence conventions.

Scan foreground cells in row-major order and label each unseen component by exploring all eight adjacent positions, including diagonals. Return the label image and component cell lists.1

Input fieldMeaning and unitsAccepted input
maskRectangular numeric 0/1 rows, up to 64×64; row is the first coordinate and column the second.Dense numeric rows, each dimension at most 128; the stated shape rules also apply.
Output fieldInterpretation
resultObject containing the fields below.
result.labelsGrid of positive foreground component labels; background cells are zero.
result.componentsComponent records with positive label and traversal-order cells as [row,column] coordinates.
json
{
  "input": {
    "mask": [
      [
        1,
        0
      ],
      [
        0,
        1
      ]
    ]
  },
  "output": {
    "result": {
      "labels": [
        [
          1,
          0
        ],
        [
          0,
          1
        ]
      ],
      "components": [
        {
          "label": 1,
          "cells": [
            [
              0,
              0
            ],
            [
              1,
              1
            ]
          ]
        }
      ]
    }
  }
}

Limitations and assumptions

  • Background remains label zero. Positive component labels are assigned by first row-major discovery; component cell lists follow the traversal order, not a separate coordinate sort.
  • Masks are rectangular dense arrays of numeric 0/1 cells, with at most 64 rows and 64 columns. Empty frames are allowed where no in-bounds seed is required. Stencils are nonempty lists of distinct integer [rowOffset,columnOffset] pairs, each coordinate between -16 and 16. Outside-frame samples are zero at every stage.
  • Every declared outer field is required and unknown outer fields are rejected. Strings and JSON text have size limits, lists are bounded to 128 entries, and JSON nesting/node counts are bounded. Tighter operation-specific bounds stated above take precedence.
  • Numeric outputs must remain finite and within safe-integer magnitude. Original record indexes and cell coordinates are zero-based; stated half-open ranges exclude their end.

Alternative or Complementary methods

Choose a component operation for connected regions and an explicit stencil for local shape tests. Fix connectivity and border policy before comparing masks; convert cell counts to physical area separately when pixel spacing is known.

References

  1. Tool behavior and example: Binary Mask Eight Connected Component Labels — tool.io

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