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Deep Learning A-Z™: Convolutional Neural Networks (CNN) - Step 1: Convolution Operation

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Kirill Eremenko

The document introduces convolutional neural networks and how they process images through feature detectors that identify patterns in the input image and create a feature map. The feature detectors slide over the image, extracting features at each location and building up the feature map one value at a time.

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© SuperDataScienceDeep Learning A-Z
© SuperDataScienceDeep Learning A-Z
© SuperDataScienceDeep Learning A-Z Introduction to Convolutional Neural Networks By Jianxin Wu (2017) Link: http://cs.nju.edu.cn/wujx/paper/CNN.pdf Additional Reading:
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image Feature Detector 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 Feature MapFeature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 0 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 0 1 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 0 1 2 Feature Detector
© SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 0 1 2 1 Feature Detector
© SuperDataScienceDeep Learning A-Z Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 We create many feature maps to obtain our first convolution layer Convolutional Layer Feature Maps
© SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html
© SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Sharpen:
© SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Blur:
© SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Edge Enhance:
© SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Edge Detect:
© SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Emboss:
© SuperDataScienceDeep Learning A-Z Image Source: eonardoaraujosantos.gitbooks.io

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  • 8. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 Feature Detector
  • 9. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 Feature Detector
  • 10. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 Feature Detector
  • 11. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 Feature Detector
  • 12. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 Feature Detector
  • 13. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 Feature Detector
  • 14. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 Feature Detector
  • 15. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 Feature Detector
  • 16. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 Feature Detector
  • 17. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 Feature Detector
  • 18. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 Feature Detector
  • 19. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 Feature Detector
  • 20. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 Feature Detector
  • 21. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 Feature Detector
  • 22. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 Feature Detector
  • 23. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 Feature Detector
  • 24. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 Feature Detector
  • 25. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 Feature Detector
  • 26. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 0 Feature Detector
  • 27. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 0 1 Feature Detector
  • 28. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 0 1 2 Feature Detector
  • 29. © SuperDataScienceDeep Learning A-Z 0 0 1 1 0 0 0 1 1 Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 Feature Map 0 1 0 0 0 0 1 1 1 0 1 0 1 2 1 1 4 2 1 0 0 0 1 2 1 Feature Detector
  • 30. © SuperDataScienceDeep Learning A-Z Input Image 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 We create many feature maps to obtain our first convolution layer Convolutional Layer Feature Maps
  • 31. © SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html
  • 32. © SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Sharpen:
  • 33. © SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Blur:
  • 34. © SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Edge Enhance:
  • 35. © SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Edge Detect:
  • 36. © SuperDataScienceDeep Learning A-Z Image Source: docs.gimp.org/en/plug-in-convmatrix.html Emboss:
  • 37. © SuperDataScienceDeep Learning A-Z Image Source: eonardoaraujosantos.gitbooks.io