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Mitochondria Detection in 3D Brain Images Joy Patel and Courtney Smith July 22, 2014 Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

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Mitochondria Detection in 3D Brain Images

Joy Patel and Courtney Smith

July 22, 2014

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Introduction

How can we identify mitochondria in 3Dimage sets of a brain?

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Introduction

Data Sets We are Working With

1Supervoxel-Based Segmentation of Mitochondria in EM Image Stacks withLearned Shape Features

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Introduction

Data Sets We are Working With

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Introduction

Outline

(i) Why mitochondria?(ii) Methods we used and their results(iii) Conclusion and moving forward

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Introduction

What is the Open Connectome project?

1Volumetric Exploitation of Synaptic Information using Context Localizationand Evaluation

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Mitochondria

How does mitochondria detection play arole in the Open Connectome project?

1Supervoxel-Based Segmentation of Mitochondria in EM Image Stacks withLearned Shape Features

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Mitochondria

Characteristics of Mitochondria

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Mitochondria Detection

GoalsCreate a program that detects mitochondria in brain images

1 Properly segment the images2 Identify features to train and to classify mitochondria3 Improve boundaries of detected mitochondria

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Ground Truth

Ground Truth

Figure : Highlighted Mitochondria

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

Earlier Methods

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

Hough Transform

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

Edge Histogram

Figure : Left: Slide Used, Right: Masked Edges

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

Edge Histogram

Figure : Histograms of Object Edges

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

Mitochondria Histograms

Figure : GUI with Image Histograms

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

Gabor Filters

Figure : Gabor Atoms

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

Gabor Filters

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Image Find

SURF Detection

Figure : Left: SURF Feature Points in Object, Right: SURF FeaturePoints in Mitochondria

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

SURF Detection

Figure : Detected Matching Points

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Earlier Stages

Normalized Cross Correlation

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Mitochondria Detection

Best Working Pipeline of MitochondriaDetection

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Mitochondria Detection

Best Working Pipeline of MitochondriaDetection

1 Use Bilateral Filter on Image2 Supervoxelize the Image3 Extract Feature Vector

(a) Shell Statistics/Histogram(b) Bag of Words

4 Random Forest Detection5 Active Contours

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Bilateral Filter

Bilateral Filter

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Supervoxels

Supervoxelizing the whole image

Figure : Left: Full Slide, Right: Zoomed In

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Supervoxels

Supervoxels

1SLIC Superpixels Compared to State-of-the-art Superpixel MethodsJoy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Machine Learning

Shell Statistics/Histogram Vectors

Shell Statistics: Mean, Median, Variance, 25th Percentile, 75th PercentileGrayscale Intensities and Mean Image Gradient Magnitude for wholeSuperVoxel and radius: [0,3],(3,6],(6,9],(9+).Histogram Grayscale Vector

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Machine Learning

Bag of WordsMaking CodeBook:

Segment image into 10-by-10 patches.Convert patches into a R100 vectors.Concatenate all R100 vectors into a k-by-100 matrix.Do k-means with k=100; output from k-means is CodeBook.

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Machine Learning

Bag of Words

Figure : Codebook

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Machine Learning

Bag of Words

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Machine Learning

Use information gain to decide splits

Ij = H(Sj)−∑

i∈{L,R}

|S ij ||Sj |

H(S ij )

1www.cs.ubc.ca/ nando/540-2013/lectures.l9.pdfJoy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Machine Learning

Random Forest

1www.cs.ubc.ca/ nando/540-2013/lectures.l9.pdfJoy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Machine Learning

Random Forest

Figure : Building a Forest (ensemble)

1www.cs.ubc.ca/ nando/540-2013/lectures.l9.pdfJoy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Supervoxels

Machine Learning

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Mitochondria Detection

Active Contour

1Image Segmentation Using the Chan-Vese Algorithm - Robert CrandallJoy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Active Contour

Selected Centerpoints vs. Supervoxels

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Active Contour

Selected Centerpoints vs. Supervoxels

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Active Contour

Selected Centerpoints vs. Supervoxels

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Results

Results

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Ground Truth

3D Visualization of ResultsWith Connected Components

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Results

Percent of 3D Connected Components Truth Mitochondria:

50 to 100 percent Overlap Detected by Supervoxels:74.157320 to 50 percent Overlap Detected by Supervoxels:15.73030 to 20 percent Overlap Detected by Supervoxels:2.24720 percent Overlap Detected by Supervoxels:7.8652

0Detection: about 3100 secondsJoy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Supervoxels

Machine Learning

Percent of 2d Supervoxels Detected:True Positives: 86.6092False Positives: 13.3908

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

Conclusion

(i) Why mitochondria plays a vital role in the Open Connectomeproject

(ii) Methods we have used and their results

We have seen that supervoxels and random forest used with activecontours have given us the best results for mitochondria detection.Through our research we have noticed that others have beenpublishing papers where they are implementing similar methodsthat we have used.

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

ConclusionFurther Research

Implement Supervoxel process in 3D and compare results.Determine a better feature space for machine learning.

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images

A special thanks to:

1 Duke Math RTG2 Dr. Guillermo Sapiro3 Dr. Paul Bendich4 Dr. Joshua Vogelstein5 Dr. John Harer6 Dr. Rann Bar-On7 Dr. Robert Calderbank8 Chris Tralie9 William R. Gray10 Dean Kleissas11 Kathy Peterson

Joy Patel and Courtney Smith Mitochondria Detection in 3D Brain Images