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Master Thesis 2005 Wavelets (A relative new Mathematical method) in Medical Image Processing

Explore the impactful use of wavelet transform in various medical imaging applications such as cancer detection, blood vessel analysis, and noise suppression. The thesis delves into wavelet techniques for encoding, image enhancement, statistical analysis, and more.

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Master Thesis 2005 Wavelets (A relative new Mathematical method) in Medical Image Processing

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  1. Master Thesis 2005Wavelets (A relative new Mathematical method)in Medical Image Processing

  2. Waveletshttp://fag.grm.hia.no/fagstoff/perhh/htm/fag/matem/datwwww/wavelet.htmWaveletshttp://fag.grm.hia.no/fagstoff/perhh/htm/fag/matem/datwwww/wavelet.htm

  3. Interesting applicationsThe subject of Wavelets is expanding at a tremendous rate • Wavelet transform has been perhaps the most exciting development in the last decade to bring together researchers in several different fields: Seismic Geology Signal processing (frequency study, compression, …) Image processing (image compression, video compression, ...) Denoising data Communications Computer science Mathematics Electrical Engineering Quantum Physics Magnetic resonance Musical tones Diagnostic of cancer Economics …

  4. Medical co-operationThe 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. Co-operation Mathematics - Computer Science - Medicine SINTEF Unimed Ultrasound in Trondheim The Norwegian Radiumhospital in Oslo Sørlandet hospital in Kristiansand / Arendal

  6. International Co-operation After an invitation to a mathematical conference in Balticum 2003, I have had lessons in different countries and the international co-operation now includes Norway, Sweden, Scotland, Germany, Estonia and Russia

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

  8. CWT - DWT CWT DWT Binary dilation Dyadic translation Dyadic Wavelets

  9. Fourier transformation

  10. Wavelet TransformMorlet Wavelet - Non-visible Oscillation

  11. Master Thesis 2005Mathematical Image Processing in Medicine The Norwegian Radiumhospital in Oslo (DNR) - Wavelets: Detecting Breath Cancer at an early stage Mammography Wavelettransformed

  12. Definition DNR The Norwegian Radiumhospital in Oslo (DNR)

  13. Master Thesis 2005Mathematical Image Processing in Medicine SINTEF Unimed Ultralyd in Trondheim - Wavelets: Detecting Blood Vessel in Ultra Sound Image

  14. Master Thesis 2005Mathematical Image Processing in Medicine Sørlandet hospital in Kristiansand • Wavelets: Compute Bone Thickness • Wavelets: Compute Blood Vessel Thickness in Liver Schistosomiasis

  15. Master Thesis 2005Mathematical Image Processing in Medicine Sørlandet hospital in Arendal - Wavelets: IR Diagnostics

  16. Master Thesis 2005Mathematical Image Processing in Medicine HiA – German Company - Wavelets: Video Compression

  17. Master Thesis 2005Mathematical Image Processing in Medicine HiA • Wavelet Program system in Mathematica, Mathlab, Mathcad, Java Different Wavelets Modulus and Phase Representation in Complex Wavelets Different advanced analyse tools. Prepare different suitable program system. Special study of phase representation.

  18. Master Thesis 2005Mathematical Image Processing in Medicine Sørlandet Hospital - Continuous Wavelet Tranform ECG Recognition Based on Phase and Modulus Representation and Hidden Markov Models Wavelet transforms have been applied (CWT/DWT) to ECG for - ehancing late potentials - reducing noise - QRS detection - normal and abnormal beat recognition CWT of complex wavelets Phase representation study of local symmetry / asymmetry

  19. Master Thesis 2005Mathematical Image Processing in Medicine Sørlandet Hospital - Statistical Analysis of Image Differences by Wavelet Decomposition

  20. Master Thesis 2005Mathematical Image Processing in Medicine Sørlandet Hospital - Application of Wavelet Transforms to Blood Flow Velocimetry General: Velocity in Fluid / Gas Ultrasound high fractional bandwidth and large time-bandwidth signals Doppler Effect  Wideband / Wavelet Transform

  21. Master Thesis 2005Mathematical Image Processing in Medicine Sørlandet Hospital - Wavelets Transform for speaker identification

  22. Master Thesis 2005Mathematical Image Processing in Medicine Sørlandet Hospital - Wavelets to Suppress Noise in Biomedical Images

  23. Master Thesis 2005Mathematical Image Processing in Medicine Sørlandet Hospital - Wavelets Technicques for Encoding Magnetic Resonance Images

  24. Master Thesis 2005Mathematical Image Processing in Medicine Sence Technology - Wavelets Technicques for Detecting Pipe Connection in Video Image

  25. Mathcad ProgramWavelet Transform

  26. End

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