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Presentation. Per Henrik Hogstad. - Mathematics - Statistics - Physics (Main subject: Theoretical Nuclear Physics) - Computer Science - Programming / Objectorienting - Algorithms and Datastructures - Databases - Digital Image Processing - Supervisor Master Thesis

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Presentation Transcript
Presentation
Presentation

Per Henrik Hogstad

  • - Mathematics

  • - Statistics

  • - Physics (Main subject: Theoretical Nuclear Physics)

  • - Computer Science

  • - Programming / Objectorienting

  • - Algorithms and Datastructures

  • - Databases

  • - Digital Image Processing

  • - Supervisor Master Thesis

  • Research - Mathematics of Wavelets + Computer Application Wavelets/Medicine - SimReal+(SimReal + SimVideo)


Projects
Projects

External Projects

Mathematics / Physics / Statistics / ICT

Internal Projects

SimReal+ (SimReal + SimVideo


External projects
External Projects

Mathematics - Computer Science - Medicine

SINTEF Unimed Ultrasound in Trondheim

The Norwegian Radiumhospital in Oslo

Sørlandet hospital in Kristiansand / Arendal


The norwegian radiumhospital in oslo
The Norwegian Radiumhospital in Oslo

- Control of the Linear Accelerator

- Databases (patient/employee/activity)- Computations of patientpositions- Mathematical computations of medical image information

- Different imageformat (bmp, dicom, …)

- Noise Removal

- Graylevel manipulation (Histogram, …)

- Convolution, Gradientcomputation

- Multilayer images

- Transformations (Fourier, Wavelet, …) - Mammography

- ...

Wavelet


The norwegian radiumhospital in oslo linear accelerator
The Norwegian Radiumhospital in OsloLinear Accelerator

- Control of the Linear Accelerator

- Databases (patient/employee/activity)- Computations of patient positions

Patient

Database

Linear Accelerator

Computer


Wavelets new mathematical method with many interesting applications
WaveletsNew mathematical method with many interesting applications

Divide a function into parts with frequency and time/position information

Signal Processing - Image Processing - Astronomy/Optics/Nuclear Physics

Image/Speech recognition - Seismologi - Diff.equations/Discontinuity


The norwegian radiumhospital mammography micro calcifications fourier transformation
The Norwegian RadiumhospitalMammographyMicro-calcificationsFourier Transformation

N=2

N=10


Definition of the continuous wavelet transform cwt
Definition of The Continuous Wavelet Transform CWT

The continuous-time wavelet transform (CWT)

of f(x) with respect to a wavelet (x):

L2(R )


Wavelet transform morlet wavelet fourier wavelet
Wavelet TransformMorlet WaveletFourier / Wavelet

Fourier

Wavelet


The norwegian radiumhospital mammography micro calcifications wavelet transformation mexican hat

Mammography

Seismic

The Norwegian RadiumhospitalMammographyMicro-calcificationsWavelet Transformation - Mexican Hat

ECG


The norwegian radiumhospital mammography micro calcifications
The Norwegian RadiumhospitalMammographyMicro-calcifications

Mammography

phantom

Phantom information

Diameter

Relative contrast

Number of microcalcifications

Mathematical tranformation

of the mammography imaging

Transformed image


Wavelet transform mammography video
Wavelet TransformMammography - Video


Osteroporosis

Morlet

Osteroporosis

External part

External part

E/I bone edge

E/I bone edge


Ultrasound image edge detection sintef unimed ultrasound trondheim
Ultrasound Image - Edge detectionSINTEF – Unimed – Ultrasound - Trondheim

- Ultrasound Images- Egde Detection- Noise Removal- Egde Sharpening- Edge Detection

Prosthesis


Subject Resources

Internal / External links

Lessons

Exercises / Solutions

Video lessons / Streaming

Mastering Physics

SimReal+


SimReal+ = SimReal + SimVideo

SimReal+

SimVideo

SimReal


SimReal+

Interactice Learning Tool in Mathematics / Physics / Statistics / Computer Science Video Lesson / Live Streaming / Video Simulation / Interactive Simulation / Exercise / Applicaction

Video Lesson

Streaming

Video Simulation

Interactive Simulation

Exercise

Application


Mathematics parabel
MathematicsParabel


Live Streaming

Different Chapters


Live Streaming

Contents

Time


Comments results
Comments / Results

Survey

Exam - Physics

Comments from the students

- A great supplement, and very good academic contents

- A great way to repeat past lectures

- I wish this could be used in all my courses

- Enables me to get a better understanding of the subject

- Extremely impressive that you have spent all this time to create such a fantastic tool.


Simreal research
SimReal+ - Research

Brekke : LICE conference

London International Conference

on Education

Brekke/Hogstad : Journal

New teaching methods

Using computer technology

in physics and mathematics

Elira Curri : Master Thesis (UiA, Albania)

Ninni Marie Hogstad : Master Thesis (UiA)



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