euler_numbereuler_numberEulerNumberEulerNumber (Operator)

Name

euler_numbereuler_numberEulerNumberEulerNumber — Calculate the Euler number.

Signature

Description

The operator euler_numbereuler_numberEulerNumberEulerNumberEulerNumber calculates the Euler number, i.e., the difference between the number of connection components and the number of holes.

In the documentation of this chapter (Regions / Features), you can find an image illustrating regions which vary in their Euler number.

If more than one region is passed the results are stored in tuples, the index of a value in the tuple corresponding to the index of a region in the input.

Execution Information

• Multithreading type: reentrant (runs in parallel with non-exclusive operators).
• Multithreading scope: global (may be called from any thread).
• Automatically parallelized on tuple level.

Parameters

Result

The operator euler_numbereuler_numberEulerNumberEulerNumberEulerNumber returns the value 2 (H_MSG_TRUE) if the input is not empty. The behavior in case of empty input (no input regions available) is set via the operator set_system('no_object_result',<Result>)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>). The behavior in case of empty region (the region is the empty set) is set via set_system('empty_region_result',<Result>)set_system("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>)SetSystem("empty_region_result",<Result>). If necessary an exception is raised.

Possible Predecessors

thresholdthresholdThresholdThresholdThreshold, regiongrowingregiongrowingRegiongrowingRegiongrowingRegiongrowing, connectionconnectionConnectionConnectionConnection

Alternatives

connect_and_holesconnect_and_holesConnectAndHolesConnectAndHolesConnectAndHoles

Module

Foundation