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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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  1. 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

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

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

  4. 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

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

  6. 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 …

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

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

  9. Wavelet TransformMorlet WaveletFourier / Wavelet Fourier Wavelet

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

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

  12. Wavelet TransformMammography - Video

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

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

  15. END

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