ISO 16610-41:2015

Overview - ISO 16610-41:2015 (Morphological profile filters - Disk & horizontal line‑segment filters)

ISO 16610-41:2015 is an ISO GPS (Geometrical Product Specifications) standard that specifies computational techniques for morphological profile filters using two common structuring elements: the circular disk and the horizontal line‑segment. The standard defines how to compute dilation, erosion, opening, closing and envelope filters for 1D profiles using Minkowski sums, and describes discrete implementations for sampled profile data. It also covers recommendations, end‑conditions and filter designation for consistent profile filtration.

Key technical topics and requirements

• Morphological operations: Defines primary (dilation, erosion) and secondary (opening, closing) operators and their properties (extensivity/anti‑extensivity).
• Minkowski sums: Specifies that morphological filters are defined using Minkowski additions/subtractions and that any correct technique for these can be used.
• Discrete representation:
  • Input profiles are represented as sampled vectors z with uniform sampling interval Δ (continuous profile recovered by interpolation).
  • Structuring elements (disk and horizontal line segment) are represented discretely as vectors b, typically using an economic representation exploiting symmetry.
• Discrete morphological filters: Algorithms place the structuring element at each sample point, compute summed offsets, and collect extrema to produce filtered outputs of the same array length as the input.
• Envelope filters: Treated as closing/opening equivalents; examples show disk/line‑segment envelope behavior.
• Practical details: Includes guidance on sampling, end conditions, and recommended default filters; annexes relate the methods to the filtration matrix model and GPS matrix model.

Practical applications and who uses ISO 16610-41

• Surface metrology & profile analysis: Filtering roughness and form on measured profiles to separate scale‑dependent features.
• Quality assurance & manufacturing: Engineers applying consistent filtration methods when specifying or verifying surface texture requirements.
• Metrology software developers: Implementing compliant morphological filters (disk and line‑segment) for profilometers and analysis tools.
• Standards bodies and test labs: Ensuring measurement interoperability and traceability in GPS‑based specifications.

Typical users: metrologists, mechanical engineers, QA/inspection teams, and software engineers in measurement and CAD/CAM toolchains.

Related standards

• ISO 16610-1 (Overview and basic concepts)
• ISO 16610-40 (Morphological profile filters: Basic concepts)
• ISO 14660-1 (GPS terms and definitions)
• Other parts of ISO 16610 dealing with linear/areal filters and morphological methods

Keywords: ISO 16610-41, morphological profile filters, disk filter, horizontal line‑segment filter, filtration, GPS, Minkowski sums, dilation, erosion, opening, closing, envelope filters, profile metrology.