JP2001112722A - Surface state analyzing method - Google Patents
Surface state analyzing methodInfo
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- JP2001112722A JP2001112722A JP29675099A JP29675099A JP2001112722A JP 2001112722 A JP2001112722 A JP 2001112722A JP 29675099 A JP29675099 A JP 29675099A JP 29675099 A JP29675099 A JP 29675099A JP 2001112722 A JP2001112722 A JP 2001112722A
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- spectral
- wavelength
- melanin
- present
- image
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Abstract
Description
【0001】[0001]
【発明の属する技術分野】本発明は、対象物の表面状態
を解析する表面状態解析方法、特に、皮膚内部の色素沈
着の分布状態を擬似的に立体的に表示するために多数の
波長帯域における分光画像を効率良く取得するに適した
表面状態解析方法に関する。BACKGROUND OF THE INVENTION 1. Field of the Invention The present invention relates to a surface condition analysis method for analyzing the surface condition of an object, and more particularly, to a method for displaying a distribution of pigmentation in the skin in a quasi-stereoscopic manner in a plurality of wavelength bands. The present invention relates to a surface state analysis method suitable for efficiently acquiring a spectral image.
【0002】[0002]
【従来の技術】可視域の短波長側の光より長波長側の光
の方がより深く皮膚内部に到達し得ることから、特定の
波長帯域において得られた皮膚表面の分光画像がその波
長に対応する深さにおけるメラニンの分布を表わしてい
ることが明らかになっている(金子治他、粧技誌、32
(4),pp361−371,1998;川口由起子
他、粧技誌、33(1),pp27−38,199
9)。2. Description of the Related Art Since light on the long wavelength side can reach deeper into the skin than light on the short wavelength side in the visible region, a spectral image of the skin surface obtained in a specific wavelength band is applied to that wavelength. It has been shown that it represents the distribution of melanin at the corresponding depth (Osamu Kaneko et al., Cosmetic Journal, 32
(4) , pp 361-371, 1998; Yukiko Kawaguchi et al., Cosmetic Journal, 33 (1) , pp 27-38, 199.
9).
【0003】上記の論文においては、主波長400nm,
550nmおよび700nmの分光画像が、それぞれの波長
に対応する深さにおけるメラニンの分布を表わすものと
して用いられている。しかしながら、より多くの波長の
分光画像が得られれば、皮膚内部でのメラニンの立体的
分布などのより有用な情報が得られることが期待され
る。In the above-mentioned paper, the main wavelength is 400 nm,
Spectral images at 550 nm and 700 nm have been used to represent the distribution of melanin at depths corresponding to each wavelength. However, if spectral images of more wavelengths are obtained, it is expected that more useful information such as the three-dimensional distribution of melanin inside the skin will be obtained.
【0004】最近になって10枚の干渉フィルターをC
CDの前面で逐次高速回転させ、10波長点の分光画像
を得ることができるシステムが報告されている(小宮康
宏他、画像ラボ、7(5),pp37−40,199
6)。このシステムは画像の微妙な色違いを分類する目
的で開発された色分類カメラシステムである。更に、3
50×350点のスペクトルデータ(400nm〜100
0nm,10nm間隔)が一度の測定で得られる2次元画像
分光システムもマーケットに登場した(三浦忠他、画像
ラボ、8(11),pp54−58,1997)。これ
は画素ごとに得られたインターフェログラムを逆フーリ
エ変換することでスペクトルを算出している。しかしな
がら数秒から数分の測定時間を必要とし、生体を対象と
した分光画像の採取に対しては適当とはいえない。また
この装置は、遺伝子診断、細胞組織学などにおける染色
体の構造や数の異常の検出を主たる目的として開発され
たものである。Recently, ten interference filters have been replaced with C
A system has been reported in which a spectral image at 10 wavelength points can be obtained by sequentially rotating at high speed in front of a CD (Yasuhiro Komiya et al., Image Lab., 7 (5) , pp. 37-40, 199 ) .
6). This system is a color classification camera system developed to classify subtle color differences in images. Furthermore, 3
Spectral data of 50 × 350 points (400 nm to 100
A two-dimensional image spectroscopy system capable of obtaining a single measurement at 0 nm and 10 nm intervals has also appeared on the market ( Tadao Miura et al., Imaging Lab., 8 (11) , pp. 54-58, 1997). In this method, a spectrum is calculated by performing an inverse Fourier transform on an interferogram obtained for each pixel. However, it requires several seconds to several minutes of measurement time, and is not suitable for collecting a spectral image of a living body. This device was developed mainly for detecting abnormalities in the structure and number of chromosomes in genetic diagnosis, cytohistology, and the like.
【0005】[0005]
【発明が解決しようとする課題】したがって本発明の目
的は、生体を対象とした分光画像の採取に適し、多数の
波長点における分光画像を得ることの可能な表面状態解
析方法を提供することにある。SUMMARY OF THE INVENTION Accordingly, an object of the present invention is to provide a surface state analysis method suitable for collecting a spectral image of a living body and capable of obtaining a spectral image at a number of wavelength points. is there.
【0006】[0006]
【課題を解決するための手段】本発明によれば、同一の
対象物について第1の複数の波長帯域における分光画像
をそれぞれ取得し、該対象物からの反射光のスペクトル
に含まれる主成分の成分得点を、該第1の複数の波長帯
域における分光画像を構成する画素の値から決定し、決
定された成分得点を用いて、第1の複数の波長帯域より
も多い第2の複数の波長帯域における分光画像をそれぞ
れ計算により決定するステップを具備する表面状態解析
方法が提供される。According to the present invention, spectral images in the first plurality of wavelength bands are acquired for the same object, and the main component of the spectrum of light reflected from the object is obtained. The component score is determined from the values of the pixels constituting the spectral image in the first plurality of wavelength bands, and the determined second component wavelengths are used to determine the second plurality of wavelengths greater than the first plurality of wavelength bands. There is provided a surface state analysis method including a step of calculating each of spectral images in a band.
【0007】前記方法は、前記第2の複数の波長帯域に
おける分光画像から波長を第3の座標軸とする3次元表
示を生成するステップをさらに具備することが好適であ
る。[0007] Preferably, the method further comprises the step of generating a three-dimensional display using wavelengths as third coordinate axes from the spectral images in the second plurality of wavelength bands.
【0008】[0008]
【発明の実施の形態】まず、メラニンによる呈色が弱い
(色が薄い)例として白人女性の肌を、呈色が強い(色
が濃い)例として黒人女性の肌を想定し、多数の白人、
黒人、黄色人女性の頬の分光反射率のデータからスペク
トルの構成因子の数およびそれらの大きさを線形構造を
仮定してもとめる。BEST MODE FOR CARRYING OUT THE INVENTION First, assuming a white female skin as an example of weak coloration (light color) due to melanin and a black female skin as an example of strong coloration (dark color), ,
From the spectral reflectance data of the cheeks of black and yellow females, the number of spectral components and their magnitudes are determined assuming a linear structure.
【0009】先に報告した事例(川口由起子他、粧技
誌、33(1),pp27−38,1999)では得ら
れた皮膚分光反射率の構成因子Vi の数は、3である。
従って、任意の波長の分光反射率R(λ)は、式(1)
のかたちで書き表すことができる。 R(λ)=M1 V1 (λ)+M2 V2 (λ)+M3 V3 (λ) (1) ここで、Mi :構成因子Vi にかかわる重み係数 Vi (λ):波長λにおける構成因子Vi の大きさ なお、式(1)のかたちで分光反射率R(λ)の構成因
子を抽出する問題は、皮膚の分光反射率の波長間、なま
の平方和・積和行列の固有値、固有ベクトルの問題に帰
する。従って式(1)における構成因子Vi の重み係数
Mi は、主成分分析で得られる成分得点であり波長λに
おける構成因子Vi の大きさVi (λ)は、固有ベクト
ルそのものである。[0009] destination reported by Case (Yukiko Kawaguchi other,粧技Journal, 33 (1), pp27-38,1999) number of constituent factors V i of the resulting skin spectral reflectance at it is 3.
Therefore, the spectral reflectance R (λ) at an arbitrary wavelength is given by the equation (1)
Can be written in the form of R (λ) = M 1 V 1 (λ) + M 2 V 2 (λ) + M 3 V 3 (λ) (1) Here, M i: weighting factor related to the structure factor V i V i (λ): Wavelength the size of the structure factor V i in lambda Incidentally, the problem of extracting the structure factor of the spectral reflectance R (lambda) in the form of equation (1) is between the wavelengths of the spectral reflectance of the skin, raw sum of squares, the product It is attributable to the problem of eigenvalues and eigenvectors of the union matrix. Thus the weighting coefficient M i configuration factor V i in equation (1), the magnitude V i (lambda) is the structure factor V i in is the wavelength lambda component scores obtained in the principal component analysis, the eigenvector itself.
【0010】特開平7−19839号公報に記載された
トリスペクトラルカメラで肌を撮影し、主波長400n
m,550nm,700nmの分光画像を得る。次いで先に
報告した方法(川口由起子他、粧技誌、33(1),p
p27−38,1999)で画素ごとの輝度を分光反射
率に変換する。得られた画素ごとの分光反射率を
R400,R550 ,R700 とすると式(1)は、式(2)
のように書ける。[0010] The skin is photographed with a trispectral camera described in Japanese Patent Application Laid-Open No.
Obtain spectral images at m, 550 nm and 700 nm. Next, the method reported earlier (Yukiko Kawaguchi et al., Cosmetic Magazine, 33 (1) , p.
(pp. 27-38, 1999), the luminance of each pixel is converted into a spectral reflectance. Assuming that the obtained spectral reflectances for each pixel are R 400 , R 550 and R 700 , equation (1) becomes equation (2)
Can be written as
【0011】 R400 =M1 V1,400 +M2 V2,400 +M3 V3,400 R550 =M1 V1,550 +M2 V2,550 +M3 V3,550 (2) R700 =M1 V1,700 +M2 V2,700 +M3 V3,700 式(2)の連立方程式を解き、個々の画素に関する
M1 ,M2 ,M3 を算出し、これを式(1)に代入し
て、可視域(380nm〜780nm,10nm間隔、41波
長点)の画素ごとの分光反射率R(λ)を求める。R 400 = M 1 V 1,400 + M 2 V 2,400 + M 3 V 3,400 R 550 = M 1 V 1,550 + M 2 V 2,550 + M 3 V 3,550 (2) R 700 = M 1 V 1,700 + M 2 V 2,700 + M 3 V 3,700 Solve the simultaneous equations of equation (2), calculate M 1 , M 2 , and M 3 for each pixel, substitute them into equation (1), and apply them to the visible region (380 nm to 780 nm, 10 nm interval, 41 wavelengths). The spectral reflectance R (λ) for each pixel at the point (dot) is determined.
【0012】得られた波長別分光反射率の最大値Rmax
(λ)と最小値Rmin (λ)ならびに当該波長点の当該
画素の分光反射率R(λ)を式(3)に代入して、当該
波長の当該画素の分光反射率R(λ)を輝度I(λ)
(0〜255)に変換する。 I(λ)=255×(R(λ)−Rmin (λ)/(Rmax (λ)−Rmin ( λ)) (3) このようにして求めたI(λ)を用いて分光画像を作成
する。なお、Vi (λ)の計算に41波長点の分光反射
率のデータを使えば41波長点に対するVi (λ)の値
が得られ、それを使えば41波長点の分光画像が得られ
るが、更に数多くの波長点、あるいは任意の波長の分光
画像を必要とする場合は、個々の画素に対応する上記し
た41波長点の分光反射率データをもちいて3次自然ス
プライン補間式をもとめ当該波長点の当該画素の分光反
射率R(λ)を算出し、式(3)に代入して輝度I
(λ)をもとめ、分光画像を作成する。The obtained maximum value R max of the spectral reflectance for each wavelength.
(Λ), the minimum value R min (λ), and the spectral reflectance R (λ) of the pixel at the wavelength point are substituted into Equation (3) to obtain the spectral reflectance R (λ) of the pixel at the wavelength. Brightness I (λ)
(0-255). I (λ) = 255 × (R (λ) −R min (λ) / (R max (λ) −R min (λ)) (3) Spectral image using I (λ) thus obtained creating a. the value of V i (λ) is obtained for 41 wavelength points Using data of the spectral reflectance of 41 wavelength points in the calculation of V i (λ), the spectral of 41 wavelength points with it An image can be obtained, but if more spectral points or spectral images of arbitrary wavelengths are required, the tertiary natural spline interpolation is performed using the spectral reflectance data of the above-mentioned 41 wavelength points corresponding to individual pixels. The spectral reflectance R (λ) of the pixel at the wavelength point is calculated based on the equation, and is substituted into the equation (3) to obtain the luminance I.
Based on (λ), a spectral image is created.
【0013】得られた分光画像中にみられる毛穴や雑音
は画像処理によって除去し、周辺の平均輝度をもちいて
穴埋めを行うのが好ましい。上記した方法で作成した分
光画像の2値化は、大津の方法(大津展之、電子通信学
会論文誌、J63−D(4),pp349−356,1
980)で行っているが、色素沈着の大きさがやや大き
めに抽出される傾向があるので、算出されたしきい値を
補正(−20)するのが望ましい。It is preferable to remove pores and noises in the obtained spectral image by image processing, and to fill the holes using the average luminance of the surroundings. The binarization of the spectral image created by the method described above is performed according to the method of Otsu (Nobuyuki Otsu, IEICE Transactions , J63-D (4) , pp349-356, 1 ) .
980), but it is desirable to correct (−20) the calculated threshold since the size of pigmentation tends to be extracted slightly larger.
【0014】得られた41枚の2値画像を波長順に積層
表示することで、皮膚表層に存在するメラニンのかたま
りを擬似的に可視化する。図1に示した立方体の最上面
を皮膚表面に対応させ、380nmの2値画像を表示す
る。−Z方向を深さ方向とし、得られた2値画像を波長
順に積層し、最下面を780nmの2値画像とする。単に
2値画像を積層した表示では立体感が得られないので、
シェーディングを行なう。[0014] By stacking and displaying the obtained 41 binary images in order of wavelength, a cluster of melanin existing on the surface layer of the skin is visualized in a pseudo manner. A 380 nm binary image is displayed with the top surface of the cube shown in FIG. 1 corresponding to the skin surface. With the −Z direction as the depth direction, the obtained binary images are stacked in order of wavelength, and the lowermost surface is a 780 nm binary image. Since a three-dimensional effect cannot be obtained simply by displaying a binary image,
Perform shading.
【0015】また皮膚表層に存在するメラニンのかたち
を、X,Y,−Zの軸方向の任意の断面で切り出した画
像を画面表示できるようにしても良い。Further, an image obtained by cutting out the shape of melanin existing in the surface layer of the skin at an arbitrary cross section in the X, Y, and -Z axial directions may be displayed on a screen.
【0016】[0016]
【実施例】メラニンによる呈色が弱い(色が薄い)例と
して白人女性の肌を、呈色が強い(色が濃い)例として
黒人女性の肌を想定し、日立カラーアナライザー607
で白人75人、黒人12人、黄色人(日本人ならびに東
南アジア人)63人、計150人の女性(20代〜50
代)の頬の分光反射率を測定した。先の報告(川口由起
子他、粧技誌、32(1),pp27−38,199
9)では得られた380nm〜780nm,10nm間隔、4
1波長点の分光反射率データから400nm〜700nm間
の31波長点の分光反射率の値を抜き出し、波長間、な
まの平方和・積和行列の主成分分析を行い反射光構成因
子を抽出している。EXAMPLE Assuming that the skin of a white woman is assumed as an example of weak coloration (light color) due to melanin and the skin of a black woman as an example of strong coloration (dark color), a Hitachi Color Analyzer 607 is used.
In total, there are 75 women (whites, 12 blacks, 63 yellows (Japanese and Southeast Asians);
The spectral reflectance of the cheek was measured. Previous report (Yukiko Kawaguchi et al., Cosmetic Magazine, 32 (1) , pp. 27-38, 199 )
In 9), the obtained 380 nm to 780 nm, 10 nm interval, 4
The spectral reflectance values at 31 wavelength points between 400 nm and 700 nm are extracted from the spectral reflectance data at one wavelength point, and the principal component analysis between wavelengths and the raw sum of squares and sum of products matrix is performed to extract the reflected light constituent factors. are doing.
【0017】本願明細書ではより浅い所、より深い所の
分光画像を得るために、測定した380nm〜780nm,
10nm間隔、41波長点の分光反射率データに対して上
記した主成分分析を実施した。得られた固有値と累積寄
与率を表1に示す。In the present specification, in order to obtain a spectral image at a shallower place and a deeper place, measured 380 nm to 780 nm,
The above-described principal component analysis was performed on spectral reflectance data at 41 nm points at intervals of 10 nm. Table 1 shows the obtained eigenvalues and cumulative contribution rates.
【0018】[0018]
【表1】 [Table 1]
【0019】表1からわかるように、この場合も式
(1)は成立する。図2に得られた固有ベクトルを示
す。式(3)を用いて、当該波長点の当該画素の反射率
R(λ)を輝度I(λ)に変換するための波長別反射率
の最大値、最小値を表2にしめす。As can be seen from Table 1, equation (1) also holds in this case. FIG. 2 shows the obtained eigenvectors. Table 2 shows the maximum value and the minimum value of the reflectance for each wavelength for converting the reflectance R (λ) of the pixel at the wavelength point into the luminance I (λ) using Expression (3).
【0020】[0020]
【表2】 [Table 2]
【0021】前述のトリスペクトラルカメラを用いて得
られた、そばかす、肝斑、くま、ほくろの主波長400
nm,550nm,700nmの分光画像をもとにして、本発
明の方法で380nm〜780nm,10nm間隔、41波長
点の分光画像を再構成した。図3〜図6に再構成した3
80nm〜780nm(10nm間隔、41波長点)の分光画
像を示す。The main wavelength 400 of freckles, liver spots, bears, and moles obtained using the above-mentioned trispectral camera.
Based on the spectral images at nm, 550 nm, and 700 nm, spectral images at 380 nm to 780 nm, at 10 nm intervals, and at 41 wavelength points were reconstructed by the method of the present invention. 3 reconstructed in FIGS.
8 shows spectral images of 80 nm to 780 nm (10 nm intervals, 41 wavelength points).
【0022】再構成したそばかす、肝斑、くま、ほくろ
の41波長点の分光画像をそれぞれ2値化しその2値画
像を順次積層し、シェーディングした図を図7〜図10
に示す。前述したように、各図のより上方には、より短
波長側の2値画像が配置されており、相対的に浅い所に
存在するメラニンの分布を示す。またより下方には、よ
り長波長側の2値画像が配置されており、相対的に深い
所に存在するメラニンの分布を表示している。そばかす
を形成するメラニンは相対的に浅い所に、肝斑、くまを
形成するメラニンはより深い所においてもその存在が確
認できる。ほくろの場合は浅い所から深い所にかけてメ
ラニンのかたまりのつながりが見られる。FIGS. 7 to 10 show the reconstructed freckles, liver spots, bears, and moles, which are binarized into spectral images at 41 wavelength points, and the binary images are sequentially laminated and shaded.
Shown in As described above, the binarized image on the shorter wavelength side is arranged above each figure, and shows the distribution of melanin existing in a relatively shallow place. Further below, a binary image on the longer wavelength side is arranged, and the distribution of melanin present at a relatively deep place is displayed. The presence of melanin forming freckles can be confirmed at relatively shallow places, and the presence of melanin forming melasma and dark spots can also be confirmed at deeper places. In the case of a mole, a series of melanin clusters can be seen from a shallow place to a deep place.
【0023】図11〜図13に、一過性の日焼けにより
生じた皮膚表層のメラニンを本発明の手法により可視化
した結果を示す。図11は日焼け1週間後の赤みが消え
た日焼け肌についてのメラニンの可視化の結果を示し、
図12および図13はそれぞれ2週間後および4週間後
の結果を示す。図11〜図13からわかるように、本発
明の方法により、時間とともにメラニンが上層に移行
し、一過性の日焼けによって生じたメラニンが消失して
いく過程を可視化することができる。FIGS. 11 to 13 show the results of visualizing the melanin on the skin surface caused by transient sunburn by the method of the present invention. FIG. 11 shows the results of visualization of melanin on tanned skin whose redness has disappeared one week after sunburn,
Figures 12 and 13 show the results after 2 weeks and 4 weeks, respectively. As can be seen from FIGS. 11 to 13, the process of the present invention makes it possible to visualize the process in which melanin migrates to the upper layer over time and the melanin generated by transient sunburn disappears.
【0024】[0024]
【発明の効果】以上説明したように本発明によれば、生
体を対象とした分光画像を多数の波長点について得るこ
とが可能になる。As described above, according to the present invention, it is possible to obtain a spectral image of a living body at many wavelength points.
【図1】多数の波長帯域における分光画像から生成され
る3次元表示を説明する図である。FIG. 1 is a diagram illustrating a three-dimensional display generated from spectral images in many wavelength bands.
【図2】予め分光反射率データから求められる固有ベク
トルを示す図である。FIG. 2 is a diagram showing eigenvectors obtained in advance from spectral reflectance data.
【図3】本発明の方法に従い、計算により再構成された
分光画像の例を示す図である。FIG. 3 is a diagram showing an example of a spectral image reconstructed by calculation according to the method of the present invention.
【図4】本発明の方法に従い、計算により再構成された
分光画像の例を示す図である。FIG. 4 is a diagram showing an example of a spectral image reconstructed by calculation according to the method of the present invention.
【図5】本発明の方法に従い、計算により再構成された
分光画像の例を示す図である。FIG. 5 is a diagram showing an example of a spectral image reconstructed by calculation according to the method of the present invention.
【図6】本発明の方法に従い、計算により再構成された
分光画像の例を示す図である。FIG. 6 is a diagram showing an example of a spectral image reconstructed by calculation according to the method of the present invention.
【図7】本発明の方法に従い、皮膚表層に存在するメラ
ニンの分布を可視化した例を示す図である。FIG. 7 is a diagram showing an example of visualizing the distribution of melanin present in the skin surface layer according to the method of the present invention.
【図8】本発明の方法に従い、皮膚表層に存在するメラ
ニンの分布を可視化した例を示す図である。FIG. 8 is a view showing an example in which the distribution of melanin present in the skin surface layer is visualized according to the method of the present invention.
【図9】本発明の方法に従い、皮膚表層に存在するメラ
ニンの分布を可視化した例を示す図である。FIG. 9 is a diagram showing an example in which the distribution of melanin present in the skin surface layer is visualized according to the method of the present invention.
【図10】本発明の方法に従い、皮膚表層に存在するメ
ラニンの分布を可視化した例を示す図である。FIG. 10 is a diagram showing an example in which the distribution of melanin present in the skin surface layer is visualized according to the method of the present invention.
【図11】本発明の方法に従い、皮膚表層に存在するメ
ラニンの分布を可視化した例を示す図である。FIG. 11 is a diagram showing an example of visualizing the distribution of melanin present in the skin surface layer according to the method of the present invention.
【図12】本発明の方法に従い、皮膚表層に存在するメ
ラニンの分布を可視化した例を示す図である。FIG. 12 is a diagram showing an example of visualizing the distribution of melanin present in the skin surface layer according to the method of the present invention.
【図13】本発明の方法に従い、皮膚表層に存在するメ
ラニンの分布を可視化した例を示す図である。FIG. 13 is a diagram showing an example of visualizing the distribution of melanin present in the skin surface layer according to the method of the present invention.
Claims (2)
帯域における分光画像をそれぞれ取得し、 該対象物からの反射光のスペクトルに含まれる主成分の
成分得点を、該分光画像を構成する画素の値から決定
し、 決定された成分得点を用いて、第1の複数の波長帯域よ
りも多い第2の複数の波長帯域における分光画像をそれ
ぞれ計算により決定するステップを具備する表面状態解
析方法。1. A spectral image in a first plurality of wavelength bands is acquired for the same target object, and component scores of main components included in a spectrum of light reflected from the target object constitute the spectral image. A surface state analysis method comprising the steps of: determining a spectral image in a second plurality of wavelength bands greater than the first plurality of wavelength bands by using the determined component score, and determining the spectral images by using the determined component scores. .
画像から波長を第3の座標軸とする3次元表示を生成す
るステップをさらに具備する請求項1記載の表面状態解
析方法。2. The surface state analysis method according to claim 1, further comprising the step of generating a three-dimensional display using wavelengths as third coordinate axes from the spectral images in the second plurality of wavelength bands.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP29675099A JP3729692B2 (en) | 1999-10-19 | 1999-10-19 | Surface state analysis method |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP29675099A JP3729692B2 (en) | 1999-10-19 | 1999-10-19 | Surface state analysis method |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| JP2001112722A true JP2001112722A (en) | 2001-04-24 |
| JP3729692B2 JP3729692B2 (en) | 2005-12-21 |
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ID=17837639
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| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| JP29675099A Expired - Fee Related JP3729692B2 (en) | 1999-10-19 | 1999-10-19 | Surface state analysis method |
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| Country | Link |
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| JP (1) | JP3729692B2 (en) |
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