# Asymmetry

## Compactness

Compactness of 2d region composed of square pixels(Bribiesca 1997)

More compactness info\cite{JaworekKorjakowska2016}

Compactness by perimeter ratios(Hernández 2016)

## Center of Mass

Measure Array of radiuses from center of mass(Cudek):

Calcualte $$SFA\alpha$$ ( Score for Axis ) for each potiential axis ( 0° - 179° )

A: Is a main axis found above threshold?

B: if yes, is the perpendicular axis also above threshold?

if A & B -> Asymmetry Score = 0

if A & !B -> Asymmetry Score = 1

if !A -> Asymmetry Score = 2

## Comparisons of various methods

Asymmetry Analysis "In ABCD analysis, out of other three parameters, asymmetry analysis predicts better and also it assists the clinicians to diagnose the melanoma before its proliferating stage."(Premaladha 2014)

# Border irregularity

## Borderling Function\cite{JaworekKorjakowska2015}

Rotate the lesion image onto major axis

Calculate Borderline Function

Smoothing

Calculate Border Irregularities from change in sign of slope of borderline function

## Implementation

using Borderline Function

https://github.com/alexgustafson/BATests/blob/master/Calculate%20Border%20Irregularity.ipynb

# Differential Structure\cite{FernandezAlcon2009}

### References

1. E. Bribiesca. Measuring 2-D shape compactness using the contact perimeter. Computers & Mathematics with Applications 33, 1–9 (1997). Link

2. Joanna Jaworek-Korjakowska, PawełK. Automatic Classification of Specific Melanocytic Lesions Using Artificial Intelligence. BioMed Research International 2016, 1–17 (2016). Link

3. R. Santiago-Montero David Asael Gutiérrez Hernández. Border and Asymmetry measuring of skin lesion for diagnostic of melanoma using a perimeter ratio. Asian Journal of Computer Science and Information Technology 6 (2016).

4. Pawel Cudek, Jerzy W. Grzymala-Busse, Zdzislaw S. Hippe.

5. J. Premaladha, K.S. Ravichandr. Asymmetry Analysis of Malignant Melanoma Using Image Processing: A Survey. J. of Artificial Intelligence 7, 45–53 (2014). Link

6. Robert Amelard. High-Level Intuitive Features (HLIFs) for Melanoma Detection. 85 (2013).

7. Joanna Jaworek-Korjakowska. Novel Method for Border Irregularity Assessment in Dermoscopic Color Images. Computational and Mathematical Methods in Medicine 2015, 1–11 (2015). Link

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