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Wavelet Analysis: Decomposing Signals and Images

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Presentation Transcript

  1. Overview

  2. What is Wavelet Analysis? • Wavelet analysis : sounds나 images를 wavelets으로분해 (decomposition) • Wavelets • Component waves of varying durations • Localized vibrations of a sound signal • Localized variations of detail in an image • The heart of wavelet analysis : multiresolution analysis • Signal을 다른 크기의 resolution level을 가지는 subsignal들로 분해

  3. What is Wavelet Analysis?

  4. What is Wavelet Analysis? • Wavelet transform • Final image → broad masses • Signal로부터 lowerresolution signal을 생성하기 위해 finest details을 어떻게 제거해가는지 specify • Lower resolution signal : original signal에서 추출된짧은 duration의 wavelet과 비교해 볼 때 좀 더긴 duration의 oscillations을 가지는 signal • Musical analysis : melody(essential parts) + ornament • Skeleton(trend)을얻기 위해 detail(fluctuation)을걷어 냄으로써 signal을 분해하는 가장 간단한 방법

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