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Foreleser. Introduction. 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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Introduction 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 - PHH : Mathem of Wavelets + Computer Application Wavelets/Medicine - Students : Application + Test Wavelets/Medicine
Research Mathematics - Computer Science - Medicine SINTEF Unimed Ultrasound in Trondheim The Norwegian Radiumhospital in Oslo Sørlandet hospital in Kristiansand / Arendal
ResearchThe 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
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 …
Definition of The Continuous Wavelet Transform CWT The continuous-time wavelet transform (CWT) of f(x) with respect to a wavelet (x): L2(R)
Fourier-transformation of a square wave f(x) square wave (T=2) N=1 N=2 N=10
Wavelet TransformMorlet WaveletFourier/Wavelet Fourier Wavelet
The Norwegian RadiumhospitalMammography Diameter Relative contrast Number of microcalcifications
The Norwegian RadiumhospitalMammography - Mexican Hat - 2 Dim
Morlet ArthritisMeasure of bone External part External part E/I bone edge E/I bone edge
Ultrasound Image - Edge detectionSINTEF – Unimed – Ultrasound - Trondheim - Ultrasound Images- Egde Detection- Noise Removal- Egde Sharpening- Edge Detection