Face recognition using Eigenfaces

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Juan Miguel Valverde

Presentation explaining eigenfaces algorithm. More information: http://laid.delanover.com/explanation-face-recognition-using-eigenfaces/

Face recognition using Eigenfaces
(by Turk and Pentland, 1991)
Explained by Juan Miguel Valverde Martínez
More details:
http://laid.delanover.com/explanation-face-recognition-using-eigenfaces

Training Set
Same dimensions

Images -> Vectors

Normalizing the Training Set
-

Normalizing the Training Set

Normalizing the Training Set

Covariance
235
235
235 x 235 1 x 55225
55225
55225
C = A A’ (C: 55225 x 55225)
A: 55225 x 16
16 x 55225 & 55225 x 16 = 16 x 16

Eigenvectors
Eigenvectors are orthogonal
Eigenvalue: length of eigenvector

Eigenfaces
Eigenvector
x
Normalized picture

Extracting features

Obtain weights
Σ
ψ
w w w w w w w1 2 3 4 6 n5
+
Ωn =
w1
w2
w3
wn
…
…

Recognition of a face
- =
Ωnew
=
w1
w2
w3
wn
…
=

Recognition of a face
Ωnew
Ω1
Ω2
Ω3
Ω4
Ω5

Recognition of a face
0
0.1
0.2
0.3
0.4
0.5
0.6
Distance
Distance
Threshold

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Google's Just Not That Into You: Understanding Core Updates & Search Intent

Google's Just Not That Into You: Understanding Core Updates & Search Intent

Google's Just Not That Into You: Understanding Core Updates & Search Intent

How to have difficult conversations

How to have difficult conversations

How to have difficult conversations

Rajiv Jayarajah, MAppComm, ACC

Introduction to Data Science

Introduction to Data Science

Introduction to Data Science

Christy Abraham Joy

Time Management & Productivity - Best Practices

Time Management & Productivity - Best Practices

Time Management & Productivity - Best Practices

The six step guide to practical project management If you think managing projects is too difficult, think again. We’ve stripped back project management processes to the basics – to make it quicker and easier, without sacrificing the vital ingredients for success. “If you’re looking for some real-world guidance, then The Six Step Guide to Practical Project Management will help.” Dr Andrew Makar, Tactical Project Management

The six step guide to practical project management

The six step guide to practical project management

The six step guide to practical project management

Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...

Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...

Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...

RachelPearson36

During this webinar, Anand Bagmar demonstrates how AI tools such as ChatGPT can be applied to various stages of the software development life cycle (SDLC) using an eCommerce application case study. Find the on-demand recording and more info at https://applitools.info/b59 Key takeaways: • Learn how to use ChatGPT to add AI power to your testing and test automation • Understand the limitations of the technology and where human expertise is crucial • Gain insight into different AI-based tools • Adopt AI-based tools to stay relevant and optimize work for developers and testers * ChatGPT and OpenAI belong to OpenAI, L.L.C.

Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...

Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...

Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...

12 Ways to Increase Your Influence at Work

12 Ways to Increase Your Influence at Work

12 Ways to Increase Your Influence at Work

ChatGPT webinar slides

ChatGPT webinar slides

ChatGPT webinar slides

Alireza Esmikhani

More than Just Lines on a Map: Best Practices for U.S Bike Routes

More than Just Lines on a Map: Best Practices for U.S Bike Routes

More than Just Lines on a Map: Best Practices for U.S Bike Routes

Project for Public Spaces & National Center for Biking and Walking

Has your project been caught in a storm of deadlines, clashing requirements, and the need to change course halfway through? If yes, then check out how the administration team navigated through all of this, relocating 160 people from 3 countries and opening 2 offices during the most turbulent time in the last 20 years. Belka Games’ Chief Administrative Officer, Katerina Rudko, will share universal approaches and life hacks that can help your project survive unstable periods when there seem to be too many tasks and a lack of time and people.

Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...

Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...

Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...

DevGAMM Conference

Barbie - Brand Strategy Presentation

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PEPSICO Presentation to CAGNY Conference Feb 2024

PEPSICO Presentation to CAGNY Conference Feb 2024

PEPSICO Presentation to CAGNY Conference Feb 2024

Content Methodology: A Best Practices Report (Webinar)

Content Methodology: A Best Practices Report (Webinar)

Content Methodology: A Best Practices Report (Webinar)

How to Prepare For a Successful Job Search for 2024

How to Prepare For a Successful Job Search for 2024

How to Prepare For a Successful Job Search for 2024

Social Media Marketing Trends 2024 // The Global Indie Insights

Social Media Marketing Trends 2024 // The Global Indie Insights

Social Media Marketing Trends 2024 // The Global Indie Insights

Trends In Paid Search: Navigating The Digital Landscape In 2024

Trends In Paid Search: Navigating The Digital Landscape In 2024

Trends In Paid Search: Navigating The Digital Landscape In 2024

5 Public speaking tips from TED - Visualized summary

5 Public speaking tips from TED - Visualized summary

5 Public speaking tips from TED - Visualized summary

ChatGPT and the Future of Work - Clark Boyd

ChatGPT and the Future of Work - Clark Boyd

ChatGPT and the Future of Work - Clark Boyd

Getting into the tech field. what next

Getting into the tech field. what next

Getting into the tech field. what next

Google's Just Not That Into You: Understanding Core Updates & Search Intent

Google's Just Not That Into You: Understanding Core Updates & Search Intent

Google's Just Not That Into You: Understanding Core Updates & Search Intent

How to have difficult conversations

How to have difficult conversations

How to have difficult conversations

Introduction to Data Science

Introduction to Data Science

Introduction to Data Science

Time Management & Productivity - Best Practices

Time Management & Productivity - Best Practices

Time Management & Productivity - Best Practices

The six step guide to practical project management

The six step guide to practical project management

The six step guide to practical project management

Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...

Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...

Beginners Guide to TikTok for Search - Rachel Pearson - We are Tilt __ Bright...

Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...

Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...

Unlocking the Power of ChatGPT and AI in Testing - A Real-World Look, present...

12 Ways to Increase Your Influence at Work

12 Ways to Increase Your Influence at Work

12 Ways to Increase Your Influence at Work

ChatGPT webinar slides

ChatGPT webinar slides

ChatGPT webinar slides

More than Just Lines on a Map: Best Practices for U.S Bike Routes

More than Just Lines on a Map: Best Practices for U.S Bike Routes

More than Just Lines on a Map: Best Practices for U.S Bike Routes

Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...

Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...

Ride the Storm: Navigating Through Unstable Periods / Katerina Rudko (Belka G...

Barbie - Brand Strategy Presentation

Face recognition using Eigenfaces

1. Face recognition using Eigenfaces (by Turk and Pentland, 1991) Explained by Juan Miguel Valverde Martínez More details: http://laid.delanover.com/explanation-face-recognition-using-eigenfaces

2. Training Set Same dimensions

3. Images -> Vectors

4. Normalizing the Training Set -

5. Normalizing the Training Set

6. Normalizing the Training Set

7. Covariance 235 235 235 x 235 1 x 55225 55225 55225 C = A A’ (C: 55225 x 55225) A: 55225 x 16 16 x 55225 & 55225 x 16 = 16 x 16

8. Eigenvectors Eigenvectors are orthogonal Eigenvalue: length of eigenvector

9. Eigenfaces Eigenvector x Normalized picture

10. Extracting features

11. Obtain weights Σ ψ w w w w w w w1 2 3 4 6 n5 + Ωn = w1 w2 w3 wn … …

12. Recognition of a face - = Ωnew = w1 w2 w3 wn … =

13. Recognition of a face Ωnew Ω1 Ω2 Ω3 Ω4 Ω5

14. Recognition of a face 0 0.1 0.2 0.3 0.4 0.5 0.6 Distance Distance Threshold

Editor's Notes

Directions in which the data varies the most