Difference between revisions of "General Image Processing"

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(Image Averaging)
 
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'''Genaral Image Processing'''では,一般的なImage Processing方法の基礎について,Eosを使ってExample示しながら解説します.
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On '''Genaral Image Processing''', describe about general foundation of image processing with some examples by using Eos.
  
  
== [[basis of image processing]]と[[Simple Image Processing]] ==
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== [[Foundation of image processing]]と[[Simple Image Processing]] ==
 Eosを使った簡単なImage Processingに関するチュートリアルが掲載されています.
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 Tutorial on simple image processing using the Eos has been published.
  
== [[Input of image]][[Lens]] ==
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== [[Input of image]] and [[Lens]] ==
 コンピュータを使ってImage Processingを行う前に,画像がデジタル化されるInput装置のことを気にしておく必要があります.その際,実物から発した光を集光して像をつくり出す,レンズという光学素子を理解しておくことが重要です.
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 Before performing image processing using a computer, you should keep in mind about the input device that digitize images.Then, it is important to understand optical element called lens which creates image by condensing for light occurred at object.
  
== [[CTF]],[[PSF]][[MTF]]==
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== [[CTF]],[[PSF]] and [[MTF]]==
 真に得たい画像をf(x,y)で表現した場合に,[[Input of image]]方法や[[Lens]]の性能などによりどうしても画像が劣化します.このとき,全空間に一様なボケ(劣化)が生じる場合があります.このとき,本来一点であるはず's imageの劣化する関数を点拡がり関数[[PSF]](Point Spread Function)と呼びます.この点拡がり関数PSF(x, y)が分かると,真's imagef(x, y)にPSF(x, y)を畳み込みこんだ画像が観測画像g(x, y)となります.
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 True image: f(x,y) is degraded due to the method of [[Input of image]] and performance of the [[Lens]].こThen, It might occur uniform blur(degradation) at whole field. Here, the function about degradation of original point image is called [[PSF]](Point Spread Function). If this Point Spread Function PSF(x, y) is determined, it can be regarded that an observed image g(x, y) is convoluted PSF(x, y) to a true image f(x, y).
  
 
== [[Sampling]] ==
 
== [[Sampling]] ==
 アナログ画像をデジタル画像にするためには,空間をinterval,離散化することが重要です.このステップを標本化といいます.これに失敗すると,偽解像などの間違った画像を解釈する可能性があるので,注意が必要です.
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 To convert analog images to digital images, it is important that discretize the space by decomposing. This step is called Sampling. This failure might make incorrect interpretation like false image. Therefore, you must process carefully.
  
 
== [[Quantization]] ==
 
== [[Quantization]] ==
 デジタルImage Processingでは,アナログである濃度値(光学密度)をあるビット数内で表現する量子化(AD変換)という操作が最初に必要です.ここで失ったInformationを取り戻す事は出来ません.
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 First, in digital image process the operation that expresses density values ​​within certain number of bits (Optical density) is required. This operation is called quantization(AD convert). Information lost by this process can't be regained.
  
 
== [[Noise reduction]] ==
 
== [[Noise reduction]] ==
 Noiseが非常に多い画像を取り扱うためには,Noiseの性質をよく知ることが重要です.
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 In order to deal the image including a lot of noise, knowing well the nature of the noise is important.
電子顕微鏡関係のNoiseとしては,下記に挙げるいくつかが想定されます.
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Show as following some factors about noise related to electron microscope.
  
# 電子線量が少ないことから来る量子Noise:白色雑音(全域)
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# Quantum noise by lack of electron dose: White Noise(Whole field)
# 電子のエネルギー損失と色収差からくる低分解能側に多く存在するNoise:有色雑音(全域)
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# Noise which exists many in the low-resolution side by energy lack of electron or chromatic aberration: Colored Noise(Whole field)
# カメラのCCDや蛍光板,フィルムへの放射線,あるいは,ゴミなどによるNoise:局所雑音
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# Noise by radiation or dust on CCD, fluorescent screen, or film of camera: Local Noise
  
などが挙げられます.
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and so on.
  
 量子Noiseは,白色雑音の一種であり,ポアソン過程に従ったNoise分布をする場合が多いことが知られています.
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 Quantum Noise is one kind of White noise, and it is known that this is often noise distribution depending on Poisson Process.
  
 非弾性散乱電子と色収差によるNoiseは,ぼけを伴い,低周波側に多く存在します.したがって,有色雑音となります.
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 In the low-resolution side There is noise by Inelastic scattered electrons or chromatic aberration, with blur. Therefor, this noise is Colored.
  
 カメラのCCDや蛍光板,フィルムへの放射線,あるいは,ゴミなどによる雑音は,局所雑音となるExampleです.宇宙線や蛍光板内の崩壊に起因する放射線によるものは,非常に高い輝度のPixelを与えます.CCD等の[[MTF]]のために,一点とはならず,ぼけを生じます.
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 Noise by radiation or dust on CCD, fluorescent screen, or film of camera is one example of Local Noise. Factor by cosmic rays or radiation by collapse of the fluorescent screen gives pixels which have considerable high contrast. Because of [[MTF]](e.g. by CCD), it is not one point, but occurs blur.
  
 
=== [[Smoothing]] ===
 
=== [[Smoothing]] ===
 画像のもつNoiseを取り除くことを主たる目的として実施するImage Processing方法です.Noiseの性質をよく理解することで,適切なNoise除去が可能になります.
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 This is an image processing method with the primary purpose of eliminating the noise in the image. By understanding well the nature of the noise, the noise can be reduced properly.
  
 
== [[Edge extraction]] ==
 
== [[Edge extraction]] ==
 対象物の形を理解するために重要なステップですが,とても難しいステップでもあります.
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 This is an important step in order to understand the shape of the object, but it is also a very difficult step.
  
 
== [[Binarization]] ==
 
== [[Binarization]] ==
 Signalと背景の切り分けや,代表点や骨格の抽出など,Image ProcessingやAnalysisのスタートとなる処理方法です.
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 This is the process of isolating the background and the signal, and extracting the representative point and the skeletal. And it is the start process of the analysis and image processing.
  
== [[Fourier Space]]を利用したImage Processing ==
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== Image processing using the [[Fourier Space]] ==
 繰り返し周期がある画像などでは有効な画像小胞です.
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 It is an useful method for an image which has repetition period.
  
== 実空間の[[Kernel]]を用いたImage Processing ==
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== Image processing using the [[Kernel]] of the Real space ==
  
== [[Mathematical morphology]]を使ったImage Processing ==
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== Image processing using the [[Mathematical morphology]] ==
  
 
== [[Image Averaging]] ==
 
== [[Image Averaging]] ==
 the same photo fieldや同一粒子's imageがたくさんある場合には,画像の平均化を行うことで画像の質を上げることができます.
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 If many images about the same photo field or the same particle exist, image averaging can raise the quality of the images.

Latest revision as of 02:03, 2 October 2014

On Genaral Image Processing, describe about general foundation of image processing with some examples by using Eos.


Foundation of image processingSimple Image Processing

 Tutorial on simple image processing using the Eos has been published.

Input of image and Lens

 Before performing image processing using a computer, you should keep in mind about the input device that digitize images.Then, it is important to understand optical element called lens which creates image by condensing for light occurred at object.

CTF,PSF and MTF

 True image: f(x,y) is degraded due to the method of Input of image and performance of the Lens.こThen, It might occur uniform blur(degradation) at whole field. Here, the function about degradation of original point image is called PSF(Point Spread Function). If this Point Spread Function PSF(x, y) is determined, it can be regarded that an observed image g(x, y) is convoluted PSF(x, y) to a true image f(x, y).

Sampling

 To convert analog images to digital images, it is important that discretize the space by decomposing. This step is called Sampling. This failure might make incorrect interpretation like false image. Therefore, you must process carefully.

Quantization

 First, in digital image process the operation that expresses density values ​​within certain number of bits (Optical density) is required. This operation is called quantization(AD convert). Information lost by this process can't be regained.

Noise reduction

 In order to deal the image including a lot of noise, knowing well the nature of the noise is important. Show as following some factors about noise related to electron microscope.

  1. Quantum noise by lack of electron dose: White Noise(Whole field)
  2. Noise which exists many in the low-resolution side by energy lack of electron or chromatic aberration: Colored Noise(Whole field)
  3. Noise by radiation or dust on CCD, fluorescent screen, or film of camera: Local Noise

and so on.

 Quantum Noise is one kind of White noise, and it is known that this is often noise distribution depending on Poisson Process.

 In the low-resolution side There is noise by Inelastic scattered electrons or chromatic aberration, with blur. Therefor, this noise is Colored.

 Noise by radiation or dust on CCD, fluorescent screen, or film of camera is one example of Local Noise. Factor by cosmic rays or radiation by collapse of the fluorescent screen gives pixels which have considerable high contrast. Because of MTF(e.g. by CCD), it is not one point, but occurs blur.

Smoothing

 This is an image processing method with the primary purpose of eliminating the noise in the image. By understanding well the nature of the noise, the noise can be reduced properly.

Edge extraction

 This is an important step in order to understand the shape of the object, but it is also a very difficult step.

Binarization

 This is the process of isolating the background and the signal, and extracting the representative point and the skeletal. And it is the start process of the analysis and image processing.

Image processing using the Fourier Space

 It is an useful method for an image which has repetition period.

Image processing using the Kernel of the Real space

Image processing using the Mathematical morphology

Image Averaging

 If many images about the same photo field or the same particle exist, image averaging can raise the quality of the images.