Presentation Per Henrik Hogstad Mathematics Statistics Physics Main

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 - Sim. Real+ (Sim. Real + Sim. Video)

Projects External Projects Internal Projects Mathematics / Physics / Statistics / ICT Sim. Real+ (Sim. Real + Sim. Video

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 - 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 - 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 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 N=2 N=10

Definition of The Continuous Wavelet Transform CWT The continuous-time wavelet transform (CWT) of f(x) with respect to a wavelet (x): L 2(R )

Wavelet Transform Morlet Wavelet Fourier / Wavelet Fourier Wavelet

The Norwegian Radiumhospital Mammography Micro-calcifications Wavelet Transformation - Mexican Hat Mammography ECG Seismic

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

Wavelet Transform Mammography - Video

Morlet Osteroporosis External part E/I bone edge

Ultrasound Image - Edge detection SINTEF – 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 Sim. Real+

Sim. Real+ = Sim. Real + Sim. Video Sim. Real+ Sim. Real Sim. Video

Sim. Real+ 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

Live Streaming Different Chapters

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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.

Sim. Real+ Brekke : Brekke/Hogstad : Elira Curri : Ninni Marie Hogstad : - Research LICE conference London International Conference on Education Journal New teaching methods Using computer technology in physics and mathematics Master Thesis (Ui. A, Albania) Master Thesis (Ui. A)

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