Title: Foreleser
1Foreleser
2Introduction
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)
3Research
Mathematics - Computer Science - Medicine
SINTEF Unimed Ultrasound in Trondheim The
Norwegian Radiumhospital in Oslo Sørlandet
hospital in Kristiansand / Arendal
4ResearchThe 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
5WaveletsNew 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
6Definition of The Continuous Wavelet Transform
CWT
The continuous-time wavelet transform (CWT) of
f(x) with respect to a wavelet ?(x)
L2(R)
7Fourier-transformation of a square wave
f(x) square wave (T2)
N1
N2
N10
8Fourier transformation
9Wavelet TransformMorlet WaveletFourier/Wavelet
Fourier
Wavelet
10The Norwegian RadiumhospitalMammography
Diameter Relative contrast Number of
microcalcifications
11The Norwegian RadiumhospitalMammography -
Mexican Hat - 2 Dim
12The Norwegian RadiumhospitalMammography
13ArthritisMeasure of bone
Morlet
External part
External part
E/I bone edge
E/I bone edge
14Ultrasound Image - Edge detectionSINTEF
Unimed Ultrasound - Trondheim
- Ultrasound Images- Egde Detection - Noise
Removal - Egde Sharpening - Edge Detection
15SimReal (SimReal SimVideo)
16End