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MatRIC

MatRIC. Hjertelig takk for invitasjon til Høgskolen i Gjøvik. Presentation. Per Henrik Hogstad. - Mathematics - Statistics - Physics (Main subject: Theoretical Nuclear Physics) - Computer Science - Programming / Objectorienting - Algorithms and Datastructures - Databases

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MatRIC

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  1. MatRIC Hjertelig takk for invitasjon til Høgskolen i Gjøvik

  2. 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)

  3. MatRIC

  4. MatRIC User Groups Mathematics Teacher Education Mechatronic Electromagnetism ICT Mobile Communication Economy Medicine … Video Lesson Streaming Video Simulation Interactive Simulation Excercises Applications Modeling  Simulation  Evaluation

  5. Mathematics Problems Technology Enthusiasm Real World List Understanding

  6. MathematicsComputational Mathematics Development and analysis of mathematical models Numerical techniques Method oriented software Science, technology, biology, medicine, … Programming (C, C++, Java, Actionscript, Python, Matlab, Mathematica, … Template

  7. Projects External Projects Mathematics / Physics / Statistics / ICT Internal Projects SimReal+ (SimReal + SimVideo)

  8. External Projects Mathematics - Computer Science - Medicine SINTEF Unimed Ultrasound in Trondheim The Norwegian Radiumhospital in Oslo Sørlandet hospital in Kristiansand / Arendal

  9. 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

  10. The Norwegian Radiumhospital in OsloLinear Accelerator - Control of the Linear Accelerator - Databases (patient/employee/activity)- Computations of patient positions Patient Database Linear Accelerator Computer

  11. 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 …

  12. The Norwegian RadiumhospitalMammographyMicro-calcificationsFourier Transformation N=2 N=10

  13. Definition of The Continuous Wavelet Transform CWT The continuous-time wavelet transform (CWT) of f(x) with respect to a wavelet (x): L2(R )

  14. Wavelet TransformMorlet WaveletFourier / Wavelet Fourier Wavelet

  15. Mammography Seismic The Norwegian RadiumhospitalMammographyMicro-calcificationsWavelet Transformation - Mexican Hat ECG

  16. The Norwegian RadiumhospitalMammographyMicro-calcifications Mammography phantom Phantom information Diameter Relative contrast Number of microcalcifications Mathematical tranformation of the mammography imaging Transformed image

  17. Wavelet TransformMammography - Video

  18. Morlet Osteroporosis External part External part E/I bone edge E/I bone edge

  19. Ultrasound Image - Edge detectionSINTEF – Unimed – Ultrasound - Trondheim - Ultrasound Images- Egde Detection- Noise Removal- Egde Sharpening- Edge Detection Prosthesis

  20. Subject Resources Internal / External links Lessons Exercises / Solutions Video lessons / Streaming Mastering Physics SimReal+

  21. SimReal+ = SimReal + SimVideo SimReal+ SimVideo SimReal

  22. 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

  23. MathematicsParabel

  24. Live Streaming Different Chapters

  25. Live Streaming Contents Time

  26. 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.

  27. 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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