Multi-dimensional speed describes the movement of a material along more than one direction, typically the x and y axes, with recognition of the direction of travel. It is an important quantity in applications where the material does not simply move forward but may change direction or have transverse components of motion. Optical encoders using correlation measure this type of speed without contact and bidirectionally.
This page belongs to the Speed and rotation in motion section of the Inspection area and looks in more detail at speed measurement in several directions.

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What multi-dimensional speed is
Whereas linear speed considers movement along a single direction only, multi-dimensional speed takes several components of the motion into account. In many industrial applications the material may move both in the direction of travel (x) and transversely (y), or may reverse its direction of travel. Measuring both components, and recognizing the change of direction, allows far more complete control of the process. To do so, however, requires a measuring principle capable of following movement in two dimensions.

The VLM60 uses the correlation method: by comparing successive images of the surface, it determines the displacement in the x and y directions and recognizes the change of direction. The measurement remains valid even at zero speed, with no minimum speed.
Bidirectional measurement and direction recognition
Direction recognition is essential in material handling that involves forward and backward movement, or oscillation of the material. A correlation encoder, measuring in x and y, distinguishes the direction of movement and provides correct data even when the material reverses. It is therefore suited to positioning, winding and complex handling applications, where a single-direction measurement would give ambiguous results. In start-up and stop phases, for example, the ability to measure down to 0 m/s prevents loss of count.
Advantages of multi-dimensional measurement
- Measurement of movement in the x and y directions
- Recognition of direction and of changes of direction
- Measurement down to 0 m/s, with no minimum speed
- Non-contact: no wear and no slippage
- Direct replacement for measuring wheels and rotary encoders
Further reading and products
The correlation principle underlying multi-dimensional measurement is described in detail on the Doppler and optical correlation page. For the other forms of speed, see Surface and linear speed and Material speed and length; for practical cases, see Applications and solutions.
Applications of measurement in several directions
Multi-dimensional measurement is useful in every situation where the material does not simply advance in a straight line. Examples include handling with reversal of travel, precision positioning, winding with transverse movement and measurement on surfaces that may oscillate. In these cases, knowing the x and y components of the movement, and their direction, allows accurate control that a single-direction measurement could not guarantee.
Optical correlation and robustness
The correlation method compares successive images of the surface and calculates their displacement; it is inherently bidirectional and copes well with surfaces of varying contrast. Because it uses white-light LED illumination, it does not require the safety precautions typical of laser systems and it reduces speckle. It therefore offers an excellent combination of accuracy and robustness in real factory conditions, where vibration and variations in the surface are the norm.
Integration and encoder replacement
The VLM60 provides an incremental encoder output for each direction of movement, compatible with existing counting systems, as well as an optional fieldbus interface. It can therefore directly replace measuring wheels and rotary encoders, including in multi-dimensional applications, without requiring the control system to be redesigned. RODER technical support helps define the configuration best suited to the specific application.
Zero speed and changes of direction
Many complex handling operations involve stopping, restarting and reversing. In these cases the ability to measure down to 0 m/s and to recognize the direction of movement is decisive: it prevents loss of count and provides correct data even when the material is stationary or changes direction. A single-direction measurement, by contrast, would not distinguish forward from backward travel, producing errors in the counting of position or length.
Surfaces and environment
The correlation method tolerates surfaces of varying contrast and, thanks to LED illumination, remains stable even in the presence of reflections or non-uniformity. With IP 65 protection and compact dimensions, the optical encoder is easily integrated into installations where space is limited, maintaining consistent performance over time and reducing maintenance compared with contact solutions.
Configuration and support
Defining the working distance, the mounting and any accessories depends on the specific multi-dimensional application. RODER technical support assists the customer in the choice and the integration, so as to make the best use of bidirectional measurement and direction recognition, whether replacing existing encoders or in new positioning and handling installations.
Multi-dimensional measurement and advanced automation
In automation cells and positioning systems, measuring movement in x and y with direction recognition provides a valuable reference for control. Combined with measurement down to 0 m/s, it allows start-up, stop and reversal phases to be managed precisely, contributing to accurate process control and reliable production records, requirements increasingly demanded by connected industry.
Frequently asked questions
It is the measurement of the movement of a material along more than one direction (x and y), with recognition of the direction of travel.
The optical correlation method of the VLM60, which compares successive images of the surface and calculates their displacement in x and y.
Because in handling with forward and backward movement a single-direction measurement would give ambiguous results; direction recognition provides correct data.
Yes. The VLM60 has no minimum speed and measures reliably down to 0 m/s, which is useful during start-up and stopping.
Yes. The VLM60 is designed as a direct replacement for measuring wheels and rotary encoders, with a compatible encoder output.
Contacts & Information
Contact for general information : info@roder.it
Machine Vision Division of RODER : www.rodervision.com
RODER Instruments Division : www.innovacheck.com
More about RODER : about us
The information contained in this website is provided for information purposes only. Although it has been prepared with the greatest care, it does not constitute a contractual offer or a binding commitment to supply. It may contain transcription, translation or typographical errors. For precise and up-to-date information, please contact our company directly.
Note: Some images on this website have been intentionally generated using artificial intelligence (AI). This is because, for many applications and projects, photographs of the actual installation or system cannot be disclosed owing to confidentiality agreements, contractual clauses and non-disclosure agreements (NDAs).



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