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With the Object Relation Tool, you can define rules for relating objects. When objects are related, you can calculate relative measurements, such as the numbers of overlapped objects or distances between objects.

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Rule

definition

Definition

The top section of the Object Relation Tool window has options for creating rules, which are described in the table below.

Name	Description

Rule

Relation Name

Specifies the name of the relation rule

Association Rule

Specifies the type of relation rule

Primary

From Set

Specifies the primary object set

for

in which the

relation rule

Associate Set

Specifies the associate object set for the relation rule

Clear

Returns the the top section to its default state

Add

Adds the rule specified in the top section to the table of relation rules below

Rule types

Rule Option 1

Rule Option 2

Outlines and 2D Tracks

Meshes and 3D Tracks

Description

Overlap

Any

x

Relates each object in the primary set with each overlapping object in the associate set

Overlap

Full

x

rule will use. This input dictates which object in the relation acts as the “parent” or source of information (eg: measurements) and is the left hand side “one” in the one to one or one to many style relations are derived from
Find	Specifies the type of relationship, list of all relationship types and restrictions listed below in the Rule Types table
Within Range	Specifies the distance to search when using the “All Objects (In Search Range)” Rule Type
In Set	Specifies the secondary object set in which the rule will use. This input dictates which object in the relation acts as the “child” and is the right hand side “one” or “many” in the one to one or one to many style relations are derived from.
With Options	Allows options to be set dictating several parameters for how the processing occurs or the output format

Rule Types

Rule Option 1	Description
The Nearest Object	Relates each object in the primary set with

each

nearest object found in the

associate

secondary set

that is fully enclosed

. Nearest here is defined by the closest 2 vertices found between a primary and secondary object

Overlap

Semi

x

. Inputting the same In and From Sets will not produce output.
The Nearest 5 Objects (In Search Range)	Relates each object in the primary set with

each object

nearest 5 objects found in the

associate set that partially, but not fully, overlaps the primary object

Overlap

Best Match

x

Relates each object in the primary set with the overlapped object in the associate set with the nearest centroid (center of bounding box) to the primary object’s centroid

Overlap

Min Percent

x

secondary set. Nearest here is defined by the closest 2 vertices found between a primary and secondary object.
All Objects (In Search Range)	Relates each object in the primary set with

each

any object

in the associate set that overlaps the primary object by at least the minimum percentage specified in the numeric entry box to the right of the Min Percent button of the associated object’s area

Nearest

Best Match

x

within the specified search range. Within here is defined by any vertex of the secondary object being within ‘search range’ of any vertex of the primary object
Overlapping Objects	Relates each object in the primary set with the overlapped object in the associate set, when multiple secondary objects overlap, the one with the nearest centroid (center of bounding box) to the primary object’s centroid

, up to a bounding box distance of 150 pixels

is chosen

Using the Object Relation Tool

When you have two object sets you would like to relate, go to the Spreadsheet in Aivia , and then click on the Object Relation Tool icon to open the Object Relation Tool window. Specify the name of the relation rule in the Rule Name textbox, set the relation rule type in the Association Rule section, and select the object sets to relate in the Primary Set and Associate Set menus. Review the Rule Types section of this page to determine which object set to set as the primary one. Then, click Add to add the rule into the table of relation rules. Check the Open Measurements Dialog on Apply checkbox if you would like to change or add any measurements immediately after the relations are calculated, and then click Apply to calculate the relations.

Adding

relation measurements

Relation Measurements

Once relations are established, you can add relation measurements to the related object sets with the Measurement Tool.

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The available, pre-defined relation measurements are given in the table below along with which measurements are available for 2D objects, which measurements are available for 3D objects, which measurements are only available for track (multi-timepoint) objects, which measurements are calculated (non-blank) for the related objects in the Primary Set, and which measurements are calculated for the related objects in the Associate Set. Refer to the Relation section of the Measurement Definitions page for the corresponding measurement definitions.

Measurement	2D Objects	3D Objects	Related Tracks Only	Primary Objects	Associated/Secondary Objects
% Overlapped	x			x
All Relations Count	x	x	x	x	x
Area Overlapped	x			x
First Relation Frame	x	x	x	x	x
Has Relation	x	x	x	x	x
Last Relation Frame	x	x	x	x	x
Relation Primary Count	x	x	x	x	x
Relation Secondary Count	x	x	x	x	x
Relations on Frame	x	x		x	x
Relative Acceleration	x	x	x		x
Relative Center of Mass Distance	x	x			x
Relative Center of Mass X	x	x			x
Relative Center of Mass Y	x	x			x
Relative Center of Mass Z		x			x
Relative Distance	x	x			x
Minimum Relative Distance	x	x		x
Relative Straight Line Velocity	x	x	x	x
Relative Straight Line Velocity Squared	x	x	x	x
Relative Velocity	x	x	x		x
Relative X Position	x	x			x
Relative Y Position	x	x			x
Relative Z Position		x			x

Adding custom, advanced relation measurements

Nearest Object Specific Measurements

Default nearest object measurements will include any object from any relation defined for the object the measurement is specified on. This means if two nearest relation rules exist (eg: “Relation Rule 1” and “Relation Rule 2” where “Object Set A” is the primary), it will consider both of those rules when calculating the below measurements.

When referencing ID this is the measurement named “ID” NOT the number after the object name. ID is unique per session of Aivia to avoid confusion between two objects both having the same named (eg: “Mesh 14” from two different object sets.)

Measurement	Description
Nearest Object ID	Displays the ID of the object found to be the nearest based on the relation definition
Nearest Object Distance	Displays the calculated distance between the nearest 2 vertices of the nearest found object
Nearest Objects Count	Displays the number of objects categorized under the nearest relation rules
Mean Object Distance 3	Displays the mean of the 3 nearest distances between the nearest 2 vertices of the nearest found objects
Mean Object Distance 5	Displays the mean of the 5 nearest distances between the nearest 2 vertices of the nearest found objects

Adding Custom, Advanced Relation Measurements

You can use the Advanced Measurements tool to create custom measurements for objects related through the Object Relation Tool. Some Advanced Measurement Functions that may be useful for your custom relation measurements are in the table below.

Function Name(Input 1, Input 2,...)	Description
RelationCount()	Returns the number of objects that are related to the tracked object
RelationCount(Related Object Set)	Returns the number of objects that are related to the tracked object from the specified object set
RelationCountAtFrame()	Returns the number of objects that are related to the object on any given frame, excluding objects related through lineage
RelationCountAtFrame(Related Object Set)	Returns the number of objects that are related to the object from the specified object set on any given frame, excluding objects related through lineage
RelatedObjects(Statistic Type, Measurement to Summarize)	Calculates the statistical type on the related objects
RelatedObjects(Statistic Type, Measurement to Summarize, Related Object Set)	Calculates the statistical type on the related objects which are from the specified, related object set
RelatedSecondaryObjects(Statistic Type, Measurement to Summarize, Related Object Set)	Calculates the statistical type on the related objects which are from the related object set; the primary related objects are the ones which are statistically grouped
NearestObjectID(Relation Rule)	Displays the ID of the object found to be the nearest based on the relation definition restricted to the input relation rule's data
NearestObjectDistance(Relation Rule)	Displays the calculated distance between the nearest 2 vertices of the nearest found object restricted to the input relation rule's data
NearestObjectsMeanDistance(Relation Rule)

Viewing relations

Displays the mean of the all nearest distances between the nearest 2 vertices of the nearest found objects restricted to the input relation rule's data

Viewing Relations with the Relational Spreadsheet

The Relational Spreadsheet can be helpful for identifying which objects are related. To view the Relational Spreadsheet, click on the Relational Spreadsheet icon (see right) along the left edge of the Spreadsheet tab.You can find the relational spreadsheet in the bottom tools section with the label “Relational Spreadsheet”

The Relational Spreadsheet can be used to view multiple types of object hierarchies, but to view relations defined with the Object Relation Tool, choose the ObjectRelation option in the Relation Type menu. Object relation tool defined relations can also be viewed in other structures (Cells, Neurons, Lineage) when the “Include Object Relations” toggle is turned on. The Relational Spreadsheet has three main sections: the hierarchy view, the primary/parent object section, and the secondary/associate/child objects section (see below).

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To view the children of an object in the hierarchy view, click on the Expand icon (rightward pointing triangle) to the left of the object’s name. Selecting an object in the hierarchy view such that it is highlighted in blue leads to its measurements being displayed in the primary/parent object section and the measurements for its child objects being displayed in the secondary/associate/child objects section. Only child objects on the current time frame in the object set specified in the Object Set menu are displayed in the secondary/associate/child objects section.

Exporting relations

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Exporting Relations

To export which objects are related to which other objects in CSV format, click on the Export to Excel icon in the Spreadsheet, choose the Export Relations option (see below), navigate to a folder you would like to output the CSVs to, and then click Select Folder. The designated folder is then populated with a CSV file for each object set on the image that is related to another object set. For each object set, the first column of its CSV contains each object with a (primary or secondary) relation. There is a subsequent column for each related object set with the objects related to the object in the first column given in the same row.

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Versions Compared

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New Version Current

Key

Interface

Rule

Definition

Rule types

Rule Types

Using the Object Relation Tool

Adding

Relation Measurements

Nearest Object Specific Measurements

Adding Custom, Advanced Relation Measurements

Viewing Relations with the Relational Spreadsheet

Exporting Relations

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