Measurement Features

The following list contains all features which can be measured within NIS-Elements Measurements. There are the following. Different measurement tools measure different features. If not stated otherwise, all distances and areas are measured in the current (image) calibration units. If the image is not calibrated, pixels are used instead.

Complete list

Regardless of measurement type.

Accel. N, Accel. T, Acceleration, AcqTime, Angle, Area, Axis A, Axis A/B, Axis B, Bin ID, BinaryArea, BinaryAreaFraction, Blue, BoundsAbsBottom, BoundsAbsLeft, BoundsAbsRight, BoundsAbsTop, BoundsBottom, BoundsLeft, BoundsPxBottom, BoundsPxLeft, BoundsPxRight, BoundsPxTop, BoundsRight, BoundsTop, BrightVariation, CentreX, CentreXabs, CentreXpx, CentreY, CentreYabs, CentreYpx, Channel, Circularity, Comment, Convexity, DensityVariation, Diameter, Diff Coeff, Diff Coeff R2, Duration, Edf Ra , Edf Rz , Edf_Sa, Edf_Sz, EdfRoughness, EdfSurface, Elevation, Elongation, EqDiameter, FieldID, FileName, FillArea, FillRatio, Generation, Green, Heading, Height, HueTypical, HueVariation, ID, IntensityVariation, Length, Length xy, Length xyz, Line Speed, LineLength, Major Axis Length, MaxFeret, MaxFeret90, MaxIntensity, Mean Sq. Displacement, Mean*ChannelName*, MeanBlue, MeanBrightness, MeanCa2+, MeanChord, MeanCorrFRET, MeanDensity, MeanFRETEff, MeanGreen, MeanIntensity, MeanRatio, MeanRed, MeanSaturation, MeanTitration, MeasuredArea, MinDistance , MinDistanceTo, MinFeret, MinIntensity, Minor Axis Length , Minor2 Axis Length , ND.M, ND.T, NearestObjDist, No.Segments, NumberObjects, NumberObjectsRestricted, Numbers, Obj ID, ObjectAreaFraction, Orientation, OuterPerimeter, Path Length, Path Speed, Perimeter, PerimeterContour, Pitch, Position X, Position Y, Position Z, Radius, Red, Ref Line Length, Ref Object Line Length, RefDistance , Roi ID, ROIArea, Roughness, RoughnessInf, Seg. Length, ShapeFactor, Source, Speed, Sphericity , StartX, StartXpx, StartY, StartYpx, StgPosX, StgPosY, Straightness, Sum*ChannelName*, SumBrightness, SumDensity, SumIntensity, Surface, SurfVolumeRatio, Time, TrackID, TreeID, Type, Velocity, Volume, VolumeEqCylinder, VolumeEqSphere, Width, X, Y, Z

3D features - measured on 3D binary objects ( a thresholded Z-series data set is needed).

Elongation, Major Axis Length, MeanIntensity, MinDistance , Minor Axis Length , Minor2 Axis Length , Orientation, Pitch, RefDistance , Sphericity , SumIntensity, Surface, Volume, X, Y, Z

EDF features - can be measured only after EDF focused Image was created.

Edf Ra , Edf Rz , Edf_Sa, Edf_Sz, EdfRoughness, EdfSurface

Major Axis Length, Minor Axis Length , Minor2 Axis Length

Axis length of the object in the direction of the selected axis based on its PCA model. λ = eigenvalue. See also Pitch, Orientation.

  1. Major Axis

  2. Minor Axis

  3. Minor2 Axis

MinDistance

Distance between centroids of the measured and the nearest 3D object.

AcqTime , ,

Acquisition time of the current image in seconds. If the image is a part of an image sequence, the time is measured from the beginning of the sequence. Otherwise it is the time elapsed since the software was started.

Area , , (requires: Advanced 2D Tracking)

Area is a basic quantity for measuring object size.

BinaryArea

Sum of areas (Area) of all binary objects.

BinaryAreaFraction

See BinaryArea and MeasuredArea.

Blue

Arithmetic mean of pixel intensities of the blue component within the measured area. See Measurement Tools. It equals 0 on other than RGB images.

BoundsLeft, BoundsRight, BoundsTop, BoundsBottom

These are distances (X/Y coordinates) of the left, right, top, and bottom edges of the object bounding rectangle.

BoundsAbsLeft, BoundsAbsRight, BoundsAbsTop, BoundsAbsBottom

These are absolute distances (X/Y coordinates) of the left, right, top, and bottom edges of the object bounding rectangle within a motorized stage range. This feature can be measured only if a motorized stage is connected.

BoundsPxLeft, BoundsPxRight, BoundsPxTop, BoundsPxBottom

These are distances (X/Y coordinates) of the left, right, top, and bottom edges of the object bounding rectangle measured in pixels.

BrightVariation , ,

It is the standard deviation of brightness values within the object.

See Density and Brightness Calibration.

CentreX, CentreY , , ,

Coordinates of the center of gravity of the object (ROI, field).

CentreXabs, CentreYabs , ,

Absolute coordinates of the center of gravity in the scope of the stage XY range. These features can be measured only when a motorized stage is connected. See also BoundsAbsLeft.

CentreXpx, CentreYpx , ,

Coordinates of the center of gravity measured in pixels.

Channel , , ,

Comma-separated list of channel names on which the measurement was performed.

Circularity , (requires: Advanced 2D Tracking)

Circularity of a circle equals 1. All other shapes are characterized by circularity smaller than 1. It is a derived shape measure, calculated from Area and Perimeter. It is useful for examining shape characteristics.

Comment , , ,

This feature adds an editable column to the results table.

Convexity

Indicates convexity of the object edges.

Convex Hull Area is the area of objects after running the Binary > Convex Hull command.

See also Area.

DensityVariation , ,

It is the usual standard deviation of the density values.

See Density and Brightness Calibration.

Diff Coeff

The diffusion coefficient characterizes how a substance diffuses in time. It is a feature of a track. Having a track over k frames, we get k value pairs ((MSD1, T1), ..., (MSDk, Tk)), from which k equations are created:

MSD

Mean Squared Displacement of the object in each frame (time T).

n

Number of dimensions. 2 for 2D tracking, 3 for 3D tracking.

D

Diffusion coefficient calculated only from the first 1/3 MSDs.

T

Time.

Then, the method of least squares is used to calculate a single diffusion coefficient (D) from the set of equations.

Diff Coeff R2

Indicates how well the calculated diffusion coefficient (Diff Coeff) reflects the data. Diff Coef R2 = 1 means that the Diff Coef matches the data. If Diff Coef R2 = 0, Diff Coef does not match the data at all.

Edf Ra ,

Arithmetical mean height of the EDF profile specified by the Length 3D tool. It is an arithmetical mean of absolute values of differences between 10 Z values along the profile and their mean. Its value for a flat profile is 0.

Zi

EDFSurface Z coordinate measured at 10 equidistant points on the profile line.

EZ

Mean height of the 10 points on the Z-profile.

Edf Rz ,

Maximum height of the EDF profile specified by the Length 3D tool. Difference between the maximal and the minimal height within the measured profile line.

Edf_Sa , , , ,

Arithmetical mean height. Based on the 3D EDF surface model, it indicates how much the surface is rough. It is a sum of absolute values of differences between Z value of each pixel and mean of all Z values divided by Area. Its value for a flat surface is 0. It is the most widely used one-dimensional roughness parameter.

Zi

EDFSurface Z coordinate of a particular pixel.

EZ

The mean height of the Z-map (mean of all Z coordinates of the EDFSurface).

Area, Ω, n

Number of pixels in the measured area (image/object/ROI).

Edf_Sz , , , ,

Maximum height of the EDF surface. Difference between the maximal and the minimal height within the measured area.

EdfSurface , , , ,

Based on the 3D surface model, it is an approximation of the surface area. For a flat surface, EdfSurface = Area.

EdfRoughness , , , ,

Based on the 3D EDF surface model, it indicates how much the surface is rough. Its value for a flat surface is 1.

See also EdfSurface and Area.

Elongation , , (requires: Advanced 2D Tracking)
Elongation2D

Characterizes the object shape. Ratio of MaxFeret and MinFeret features.

Elongation3D

Characterizes the object shape. Elongation is calculated as a ratio of axes lengths.

EqDiameter , , (requires: Advanced 2D Tracking)
EqDiameter2D

A size feature derived from the area. It determines the diameter of a circle with the same area as the measured object:

EqDiameter3D

A feature derived from the volume. It determines the diameter of a sphere with the same volume as the measured object:

FieldID , ,

Automatically generated field ID. Each measurement per field generates a new ID.

FillArea

If an object contains holes, FillArea remains the same while Area is reduced by the area of the holes. If an object does not contain holes, then FillArea = Area.

FillRatio

The ratio of Area and FillArea:

If an object does not contain holes, FillRatio = 1. If an object contains holes, FillRatio is less than 1. This feature helps distinguish objects with and without holes.

IntensityVariation , ,

IntensityVariation is derived from the intensity histogram. It is an usual standard deviation of intensity values. This feature describes the inner structure of an object or a field.

Green

Arithmetic mean of pixel intensities of the Green component within the measured area. See Measurement Tools. It equals 0 on non-RGB images.

HueTypical , ,

HueTypical (H) is the hue value with maximum frequency in the hue-values histogram. This feature describes the most frequent hue (color) in an object or field.

HueVariation , ,

HueVariation is the usual standard deviation of hue values. This feature describes hue (color) distribution of inner structure of an object or a field.

Length , ,

Length is a derived feature appropriate for elongated or thin structures. Since it is based on the rod model, it is useful for calculating length of medial axis of thin rods.

LineLength ,

It is the length of an object with elongated shape.

For tracking it is the length of a straight line from the track origin to the current (measured) point.

See: Line Length and Speed.

MaxFeret, MaxFeret90 , , (requires: Advanced 2D Tracking)

It is the maximal value of the set of Feret's diameters. Generally (for convex objects), Feret's diameter at angle α equals the projected length of the object at angle α , α (0,180); NIS-Elements calculates Feret's diameters for α =0, 10, 20, 30, ..., 180.

The MaxFeret90 is a length projected across the MaxFeret diameter.

MaxIntensity , , ,

It is derived from the intensity histogram as the maximal of all pixel intensity values (I).

MeanBrightness , , ,

Arithmetic mean of brightness values of pixels.

NIS-Elements uses brightness calibration curve for evaluation of this parameter. See Density and Brightness Calibration.

MeanDensity , , ,

Arithmetic mean of density (O.D.) values of pixels.

NIS-Elements uses density calibration curve for evaluation of this parameter. See Density and Brightness Calibration.

MeanIntensity , , , , (requires: Advanced 2D Tracking),
MeanIntensity2D

It is derived p from the intensity histogram as the arithmetic mean of pixel intensities (I).

MeanIntensity3D

Arithmetic mean of intensities inside the object.

Mean*ChannelName*, MeanRed, MeanGreen, MeanBlue , ,

Arithmetic mean of pixel intensities of one image component. See also MeanIntensity.

MeanChord , ,

The mean value of secants in the 0, 45, 90 and 135 degrees directions. It is a derived feature and is calculated from the Area and mean projection according to the following formula.

MeanSaturation , ,

Arithmetic mean of saturation values of pixels (S).

MeanRatio, MeanCa2+, MeanCorrFRET, MeanFRETEff, MeanTitration , ,

Arithmetic mean of intensities of the Ratio, Ca2+, FRET / Corr FRET / FRET Eff / Ph channels. This feature is activated upon creation of the channel view.

MeasuredArea , ,

The area of the measurement frame or a ROI within the measurement frame (if the ROI is on).

MinDistanceTo

The minimal border-to-border distance to the closest binary object. If an object is inside another object, the result is 0.

MinFeret , ,

The minimal value of the set of Feret's diameters. Generally (for convex objects), Feret's diameter at angle α equals the projected length of object at angle α , α (0,180); NIS-Elements calculates Feret's diameter for α =0,10,20, 30, ..., 180.

For the Object tracking module:

(requires: Advanced 2D Tracking)

MinIntensity , , ,

Its value is derived from the intensity histogram. It is the minimum of intensity values of pixels.

NearestObjDist

The smallest distance to another object (measured between centers of gravity).

Note

If ROIs are used during the measurement, NearestObjDist is calculated only between the objects within the specific ROI (objects having the same ROI ID).

NumberObjects ,

The number of objects inside the measured area. Exclusion rules for counting objects are taken into account (see Measurement Options).

NumberObjectsRestricted

Number of objects left after applying restrictions.

See also View > Analysis Controls > Restrictions .

ObjectAreaFraction

Ratio of BinaryArea and ROIArea.

Orientation ,
Orientation

The angle at which MaxFeret is measured. Feret's diameters are calculated with 5 degrees angle increment.

Orientation

Angle (O) between the X axis and the projection of the Major (M) axis in the XY plane. Orientation [0, 180).

OuterPerimeter

Length of the outer perimeter (unlike in Perimeter, holes inside the object do not count).

Perimeter , , , ,

The total boundary length. It includes both the outer and inner boundaries (if there are holes inside an object). The perimeter is calculated from four projections in the directions 0, 45, 90 and 135 degrees using Crofton's formula

For the Object tracking module:

(requires: Advanced 2D Tracking)

PerimeterContour

Total boundary length computed from object contours. Compared to Perimeter, it is more accurate (especially on elongated objects) but the calculation is slower.

Pitch

Angle between the Major axis and its projection in the XY plane. Pitch [0, 90].

Red

Arithmetic mean of pixel intensities of the Red component within the measured area. See Measurement Tools. It equals 0 on non-RGB images.

ROIArea

Area of each ROI.

Roughness ,

This feature indicates how much the object is rough. 1 means the object roughness is minimal (it is circular). The range is <0;1>.

RoughnessInf

This feature indicates how much the object is rough. 1 means the object roughness is minimal (it is circular). The range is <1;inf>.

RefDistance

Distance between centroids of the measured and the reference 3D object. Any 3D object can be set as reference from a context menu in the Measure > 3D Object Measurement window.

Surface , (requires: Advanced 2D Tracking)

Surface of the 3D object.

ShapeFactor ,

This feature indicates whether the object is rough or not.

Sphericity

Similarity to a sphere, computed as the ratio of the object surface and the surface of a sphere with matching volume. A sphere has the maximum Sphericity = 1.

V

Volume

S

Surface

StartX, StartY

When you scan the image from the origin in left-to-right direction, the first pixel of the object you hit is the one with StartX and StartY coordinates.

StartXpx, StartYpx

StartX and StartX coordinates measured in pixels (see StartX).

StgPosX, StgPosY ,

Coordinates of the absolute position of the measured field. It is available only for systems equipped with a motorized XY stage.

Straightness

Indicates overall straightness of the object trajectory calculated by the following formula. The value range is 0.0 - 1.0.

Sum*ChannelName* , ,

The sum of intensities of all pixels of the object, ROI or field.

SumBrightness , ,

A sum of brightness in every pixel of the object.

See Density and Brightness Calibration.

SumDensity , , ,

A sum of individual optical densities (O.D.) of pixels in the measured area. This feature describes, for instance, the amount of a substance in biological sections. Optical density is evaluated according to the following formula:

See Density and Brightness Calibration.

SumIntensity , , , , , (requires: Advanced 2D Tracking)

Sum of intensity of all pixels/voxels of the object.

SurfVolumeRatio ,

SurfVolumeRatio is a feature with a strong stereological interpretation: if you measure on fields that are sampled systematically and independently of the content of the sections, then the feature is an unbiased estimator of the surface area of objects (inner structure) per volume of the whole sample.

See also Perimeter and MeasuredArea.

Time ,
Time

Time is assigned to a field (object) after the tracking measurement has been performed. See the SetReferenceTime function help.

Time

Time interval measured on a 1DT document. See also Velocity.

TrackID ,

(requires: Object tracking)

If branching of tracks is allowed, each branch has its own TrackID.

TreeID ,

(requires: Object tracking)

If branching of tracks is allowed, all branches of one track form a tree and therefore share the same TreeID.

VolumeEqCylinder

This parameter is based on the rod model. Length is interpreted as height and Width is interpreted as the base diameter of a cylinder.

VolumeEqSphere

Volume of a sphere whose diameter is equal to EqDiameter of the measured 2D object.

Volume , (requires: Advanced 2D Tracking)

Volume of the 3D object.

Width , (requires: Advanced 2D Tracking)

Width is a derived feature appropriate for elongated or thin structures. It is based on the rod model and is calculated according to the following formula:

X, Y, Z

Coordinates of the 3D object centroid.

FileName

Name of the source file.

Type (requires: Advanced 2D Tracking)

Distinguishes type of tracked objects. Name of the binary layer or ROI number is displayed.

ID

Unique binary object identifier.

ND.T , , ,

Frame index within the time dimension.

ND.M , , ,

Frame index within the Multipoint dimension.

Duration

Time duration of the track.

Generation

When track splitting is performed, this feature displays the generation of each track. The parent track has Generation = 1, tracks after first splitting have Generation = 2, etc.

Mean Sq. Displacement

Mean Square Displacement of the track calculated as a sum of squared distances from the beginning of the track.

No.Segments

Number of segments in a track.

See: Track Segments.

Speed

Segment length divided by the amount of time elapsed between the two positions.

See: Track Segments.

Ref Line Length

Length of a straight line from the Reference Point defined by the user to the current point.

See: Reference Line Length.

Ref Object Line Length

Length of a straight line from the Reference Object (e.g. a Track) defined by the user to the current point.

Line Speed

LineLength divided by the time elapsed. It represents the speed of progression of a given object.

See: Line Length and Speed.

Acceleration

Total force that is acting on an object calculated using speed difference between the next and the current segment.

See: Acceleration.

Accel. T

Tangential acceleration having the same direction as the velocity vector.

See: Acceleration.

Accel. N

Normal acceleration - the part of acceleration vector that is perpendicular to the velocity vector incoming to the current object position.

See: Acceleration.

Path Length

Sum of the segment distances from the first frame to the current frame.

See: Track Segments.

Path Speed

Length of the path divided by the amount of time elapsed from the beginning to the current position.

See: Track Segments.

Seg. Length

Length between two neighboring frames.

See: Track Segments.

Bin ID

Binary layer identifier.

Elevation

Elevation is the angle between the direction of the velocity vector and the XY plane. Positive elevation is towards positive Z coordinates. The values range from -90 to 90.

(requires: Advanced 2D Tracking)
and
(requires: 3D Measurement)

See: Heading and Elevation.

Heading

Angle between the direction of the velocity vector and the X axis. Zero degrees is in the direction of X axis (to the right) and increases counterclockwise until 360.

See: Heading and Elevation.

Position X, Position Y, Position Z

X,Y,Z coordinates of the object's centroid.

Position Z

(requires: Advanced 2D Tracking) and (requires: 3D Measurement)

Velocity

Speed measured between two points defined manually. This feature can be measured on a 1DT image using length measurement tools. 1DT image can be created from a timalapse ND file.

  1. Open a timelapse ND2 file and run View > Image > ND View > Slices View .

  2. Right-click one of the side views and select Create New Document from this View. A new image will be created.

  3. Perform length measurement on the new image.

Axis A, Axis B, Axis A/B

Lengths of the major (A) and minor (B) axes of an ellipse and their ratio. See Measurement Tools.

Radius

Radius of a circle measured manually. See Measurement Tools.

Diameter

Diameter of a circle measured manually. See Measurement Tools.

Angle

Angle between two user-defined lines. See Measurement Tools.

Length xyz, Length xy

3D length measured manually. Length xyz is the actual length measured on Slices View or Volume View. Length xy is length of a projection of the measured line to the XY plane. See Measurement Tools.

Height

Projection of 3D length measurement to the Z axis. See Measurement Tools.

Numbers

Number of points clicked within one Count measurement. See Count and Taxonomy.

Obj ID

Binary object ID. Each binary object has a unique ID

Roi ID ,

ROI ID. Each ROI has a unique ID.

Source , , ,

Name of the measured image file.