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ShapeElongation


Computes the elongation factor of a shape (perfect circle has minimal elongation equal 1.0).

Name Type Description
inShape Path
outElongation Real

Description

Elongation is a measure of how long the shape is in relation to its width. The perfect circle has the minimal elongation equal to 1.0, while the upper bound doesn't exist. The operation internally approximates the shape with an ellipse, and then computes the result as: Where L denotes the longer axis of the approximating ellipse, and S denotes the shorter one.

Note that if the input path is not a valid shape (i.e. it has at least one self-intersection), the computation may lead to results that are not intuitive.

Examples

Elongation of the sample shape equals to 3.283.

Elongation of the sample shape equals to 1.001.

Errors

This filter can throw an exception to report error. Read how to deal with errors in Error Handling.

List of possible exceptions:

Error type Description
DomainError Degenerate shape on input in ShapeElongation.
DomainError Open path on input in ShapeElongation.

Complexity Level

This filter is available on Basic Complexity Level.

See Also

  • ShapeCircularity – Computes the area of a shape divided by the area of a circle having the same feature.
  • RegionElongation – Computes the elongation factor of a region ( perfect circle has minimal elongation equal 1.0 ).