• 대한수학회보
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• 제50권3호
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• pp.951-962
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• 2013

We introduce semi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalization of slant submersions, semi-invariant submersions, anti-invariant submersions, etc. We obtain characterizations, investigate the integrability of distributions and the geometry of foliations, etc. We also find a condition for such submersions to be harmonic. Moreover, we give lots of examples.

• Journal of applied mathematics & informatics
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• 제17권1_2_3호
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• pp.495-508
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• 2005

We investigated both classical and quantum properties of a damped harmonic oscillator with a time-variable elastic coefficient using invariant operator method. We acquired the energy eigenvalues, uncertainties and probability densities for several types of wave packet. The probability density corresponding to the displaced minimum wave packet expressed in terms of the time-dependent Gaussian function. The displaced minimum wave packet not only be attenuated but also oscillates about x = 0. We confirmed that there exist correspondence between quantum and classical behaviors for the time-dependent damped harmonic oscillator.

• 전자공학회논문지S
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• 제34S권2호
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• pp.94-103
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• 1997

The WCHF-FSJTC (wavelet circular harmonic function frequency selective joint transform correlator) using th wavelet transformed CHF as the reference image in FSJTC is proposed for rotation invariant pattern recognition. Since the wavelet transform has the property of feature extraction, the proposed system can have the better DC (discrimination cpability) and the higher SNR(signal to noise ratio) compared with the conventional CHF-CJTC(circular harmonic function conventional joint transform correlator). And since the structure of the proposed system is FSJTC which can eliminate auto-correlation and cross-correlation between input images, it can eliminate false alarm caused by the overlapping among correlation peaks. The used wavelet functio is the morlet function, which is proper for the reference image used in this paper. the optimal dialation parameter and oscillation frequency of the wavelet function are also achieved with varying the parameters of the wavelet function. The computer simulation shows that the proposed system has the best performance when the dilation parameter is 0.8 and the oscillation frequency is 0.48.

• 한국안전학회지
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• 제14권2호
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• pp.192-199
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• 1999

본 논문에서는 안전검증 분야로의 응용을 위하여 circular harmonic filter(CHF)와 binary phase extraction joint transform correlator(BPEJTC)에 근거한 회전불변 지문인식 시스템을 제안하였다. 본 시스템은 이동 및 회전 변화에 강건하며 실시간으로 지문을 인식할 수 있는 특징을 지닌다. 실시간 구현을 위하여 회전불변 특성을 얻기 위한 복소 CHF는 실수로 구성된다. 시뮬레이션을 통해 본 시스템이 회전된 지문에 대해 강건한 특성이 있음을 보였다.

• 대한수학회논문집
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• 제38권1호
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• pp.195-203
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• 2023

Special examples of harmonic manifolds that are not symmetric, proving that the conjecture posed by Lichnerowicz fails in the non-compact case have been intensively studied. We completely classify homogeneous structures on Damek-Ricci spaces equipped with the left invariant metric.

• Korean Journal of Mathematics
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• 제28권4호
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• pp.649-671
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• 2020

In this paper we give the harmonic analysis associated with the Cherednik operators, next we define and study the Cherednik wavelets and the Cherednik windowed transforms on ℝd, in the W-invariant case, and we prove for these transforms Plancherel and inversion formulas. As application we give these results for the Gaussian Cherednik wavelets and the Gaussian Cherednik windowed transform on ℝd in the W-invariant case.

• 대한수학회지
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• 제27권2호
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• pp.157-166
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• 1990

• 전자공학회논문지S
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• 제34S권1호
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• pp.132-144
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• 1997

The rotation-invariant pattern recognition filter using circular harmonic function of the wavelet transforme dsreference image by morlet, mexican-hat, and haar wavelt function is proposed. The rotated reference images, the images sililar to the reference image, and the images which are added by random noise are used for the inpt images, and in case of the input images with random noise, they are applied to the recognition after removing the random noise by the transformed moving average method with proper thresholding value and window size. The proposed optical wavelet circular harmonic matched filter (WCHMF) is a type of the matche dfilter, so that it can be applied to the 4f vander lugt optical correlation system. SNR and discrimination capability of the proposed filter are compared with those of the conventional HF, the POCHF, and the BPOCHF. The proper wavelet function for the reference image used in this paper is achieved by applying morlet, mexican-hat, and harr wavelet function ot the proposed filter, and the proposed filter has good SNR and discrimination capability with rotation-invariance in case of the morlet wavelet function.

• 한국컴퓨터정보학회논문지
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• 제8권3호
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• pp.94-99
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• 2003

본 논문에서는 자동 지문 인식 시스템을 구성하기 위하여 MSF에서 위상 신호만으로 상관이 가능한 POC를 기본 시스템으로 하여, 입력 지문 영상에서 위상 신호를 추출하고 기준 지문 영상의 순환 고조파 필터와 2차원 위상 신호 정합을 시키는 방법을 통해 회전 불변 지문 인식 시스템을 구현하였다. 지문 영상은 내부 전반사 모드로 동작하는 프리즘을 통해 얻고, 지문 영상에 대한 2차원 주파수 발생은 광학적으로 수행하고 위상 신호 추출은 디지털 시스템을 이용하는 광-디지털 하이브리드 형태로 광학의 실시간 병렬 처리 특성과 디지털 알고리즘의 유연성 및 정확성을 상호 보완적으로 이용하였다.

• Korean Journal of Mathematics
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• 제28권3호
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• pp.449-457
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• 2020

We focus on the interations of the weighted Berezin transform T_α on L^p(τ), where τ is the invariant measure on the complex unit ball B_n. Iterations of T_α on L¹_R(τ) the space of radial integrable functions played important roles in proving 𝓜-harmonicity of bounded functions with invariant mean value property. Here, we introduce more properties on iterations of T_α on L¹_R(τ) and observe differences between the iterations of T_α on L1(τ) and L^p(τ) for 1 < p < ∞.