Foreleser

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Foreleser
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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 Applic
  ation Test Wavelets/Medicine - PHH SimRea
  l (SimReal SimVideo)

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Research
Mathematics - Computer Science - Medicine
SINTEF Unimed Ultrasound in Trondheim The
Norwegian Radiumhospital in Oslo Sørlandet
hospital in Kristiansand / Arendal
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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 - Multilay
er images - Transformations (Fourier, Wavelet,
) - Mammography - ...
Wavelet
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WaveletsNew mathematical method with many
interesting applications
Divide a function into parts with frequency and
time/position information Signal
Processing - Image Processing - Astronomy/Opti
cs/Nuclear Physics Image/Speech
recognition - Seismologi - Diff.equations/Disco
ntinuity
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Definition of The Continuous Wavelet Transform
CWT
The continuous-time wavelet transform (CWT) of
f(x) with respect to a wavelet ?(x)
L2(R)
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Fourier-transformation of a square wave
f(x) square wave (T2)
N1
N2
N10
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Fourier transformation
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Wavelet TransformMorlet WaveletFourier/Wavelet
Fourier
Wavelet
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The Norwegian RadiumhospitalMammography
Diameter Relative contrast Number of
microcalcifications
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The Norwegian RadiumhospitalMammography -
Mexican Hat - 2 Dim
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The Norwegian RadiumhospitalMammography
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ArthritisMeasure of bone
Morlet
External part
External part
E/I bone edge
E/I bone edge
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Ultrasound Image - Edge detectionSINTEF
Unimed Ultrasound - Trondheim
- Ultrasound Images- Egde Detection - Noise
Removal - Egde Sharpening - Edge Detection
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SimReal (SimReal SimVideo)
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End