• 대한수학회보
• /
• 제56권3호
• /
• pp.675-680
• /
• 2019

We, in this note, decompose the invariant Laplacian of the unit complex ball of ${\mathbb{C} }^n$ by the radial part and tangential part as ${\tilde{\Delta}}={\tilde{\Delta}}_{rad}+{\tilde{\Delta}}_{tan}$. We give several properties and interpretations involved with this decomposition.

• 대한수학회지
• /
• 제37권2호
• /
• pp.309-320
• /
• 2000

• 한국군사과학기술학회지
• /
• 제11권1호
• /
• pp.66-74
• /
• 2008

This paper presents a new small target detection method using scale invariant feature. Detecting small targets whose sizes are varying is very important to automatic target detection. Scale invariant feature using the Laplacian scale-space can detect different sizes of targets robustly compared to the conventional spatial filtering methods with fixed kernel size. Additionally, scale-reflected adaptive thresholding can reduce many false alarms. Experimental results with real IR images show the robustness of the proposed target detection in real world.

• East Asian mathematical journal
• /
• 제34권5호
• /
• pp.577-585
• /
• 2018

For the purpose of characterizing subharmonic or ${\mathcal{M}}$-subharmonic Hardy classes in the unit ball of ${\mathbb{C}}^n$, we establish fundamental identities between integral means in terms of volume integrals and Green's functions.

• Kyungpook Mathematical Journal
• /
• 제32권3_spc호
• /
• pp.401-413
• /
• 1992

• 대한수학회논문집
• /
• 제28권3호
• /
• pp.511-516
• /
• 2013

We establish an easy proof of an integral identity using the unitary invariance, which is applied to compare harmonicity and M-harmonicity.

• 한국컴퓨터정보학회논문지
• /
• 제11권1호
• /
• pp.283-292
• /
• 2006

최근 보안관련 기술에 대한 관심이 높아지고 있으며, 보안 취약성을 극복하고자 노력들이 진행되고 있다. 온라인 사용자에 대한 인증도 생체 정보인 지문을 통한 방법들이 모색되고 있는 실정이다. 본 연구에서는 온라인 사용자에 대한 인증을 위한 지문인식 시스템으로 회전에 무관한 지문인식 시스템을 설계 구현하였다. 지문 이미지의 전처리 과정, 특징점 추출을 통한 정합 과정에 초점을 두었으며, 기존 연구에서 제시된 회전에 무관한 지문 인식시스템에서 처리시간과 인식률을 개선하였다. 또한 방향성 라플라시안 필터를 적용하여 기존 연구의 전처리 과정에서 발생하는 잡음, 왜곡 등의 문제들을 개선할 수 있었다.

• 대한전기학회:학술대회논문집
• /
• 대한전기학회 2003년도 학술회의 논문집 정보 및 제어부문 B
• /
• pp.392-395
• /
• 2003

This paper describes a new iris segmentation and recognition method, which is robust to noises. Combining statistical classification and elastic boundary fitting, the iris is first segmented. Then, the localized iris image is smoothed by a convolution with a Gaussian function, down-sampled by a factor of filtered with a Laplacian operator, and quantized using the Lloyd-Max method. Since the quantized output is sensitive to a small shift of the full-resolution iris image, the outputs of the Laplacian operator are computed for all space shifts. The quantized output with maximum entropy is selected as the final feature representation. An appropriate formulation of similarity measure is defined for the classification of the quantized output. Experimentally we showed that the proposed method produces superb performance in iris segmentation and recognition.

• Korean Journal of Mathematics
• /
• 제27권2호
• /
• pp.437-444
• /
• 2019

For c > -1, let ${\nu}_c$ denote a weighted radial measure on ${\mathbb{C}}$ normalized so that ${\nu}_c(D)=1$. For $c_1,c_2>-1$ and $f{\in}L^1(D^2,\;{\nu}_{c_1}{\times}{\nu}_{c_2})$, we define the weighted Berezin transform $B_{c_1,c_2}f$ on $D^2$ by $$(B_{c_1,c_2})f(z,w)={\displaystyle{\smashmargin2{\int\nolimits_D}{\int\nolimits_D}}}f({\varphi}_z(x),\;{\varphi}_w(y))\;d{\nu}_{c_1}(x)d{\upsilon}_{c_2}(y)$$. This paper is about the space $M^p_{c_1,c_2}$ of function $f{\in}L^p(D^2,\;{\nu}_{c_1}{\times}{\nu}_{c_2})$ ) satisfying $B_{c_1,c_2}f=f$ for $1{\leq}p<{\infty}$. We find the identity operator on $M^p_{c_1,c_2}$ by using invariant Laplacians and we characterize some special type of functions in $M^p_{c_1,c_2}$.

• Journal of applied mathematics & informatics
• /
• 제30권5_6호
• /
• pp.993-1003
• /
• 2012

The family of graphs $\hat{W}_{4n}$ is defined by taking the simple whee graph $W_{n+1}$ with $n$ rim vertices and then adding three extra vertices on every rim edge of the wheel. In this paper, the critical group of this whole family of graphs is investigated.