• Journal of applied mathematics & informatics
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• v.42 no.1
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• pp.65-76
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• 2024

In this paper, the I-transform of the Mellin convolution type is presented. Based on the Mellin transform theory, a general integral transform of the Mellin convolution type is introduced. The generating operators for I-transform together with the corresponding operational relations are also presented.

• Journal of the Korean Institute of Telematics and Electronics
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• v.24 no.5
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• pp.905-913
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• 1987

This paper presents a speaker dependent isolated digit recognition algorithm using the Mellin transform. Since the Mellin transform converts a scale information into a phase information, attempts have been made to utilize this scale invariance property of the Mellin transform in order to alleviate a time-normalization procedure required for a speech recognition. It has been found that good results can be obtained by taking the Mellin transform to the features such as a ZCR, log energy, normalized autocorrelation coefficients, first predictor coefficient and normalized prediction error. We employed a difference function for evaluating a similarity between two patterns. When the proposed algorithm was tested on Korean digit words, a recognition rate of 83.3% was obtained. The recognition accuracy is not compatible with the other technique such as LPC distance however, it is believed that the Mellin transform can effectively perform the time-normalization processing for the speech recognition.

• The Journal of Korean Institute of Communications and Information Sciences
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• v.27 no.2A
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• pp.157-164
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• 2002

The Mellin Transform is a well-known method to find out transformations between two overlapping images. This paper models a scene with an object moving with different velocities. Also, it analyzes the relationship of the detected correlation peak to the spectrum of the background and an object. Lastly, we investigate the optimal solution of the image registration parameters minimizing the effect of the noise from the Mellin Transform by applying the Wiener filter concept.

• Proceedings of the Korea Information Processing Society Conference
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• 2002.11a
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• pp.665-668
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• 2002

본 논문은 카메라를 수평이동시켜 얻어진 영상을 Mellin Transform을 이용하여 파노라마 이미지를 구성하는 방법을 제안한다. 일반적으로 카메라로부터 얻어진 동영상은 각 프레임 사이에 많은 시간적, 공간적 정보가 중복되어 있다. 이러한 중복 정보는 모자이크 방법 중의 하나인 파노라믹 기법을 사용하여 줄일 수 있다. 지금까지의 제안된 이미지의 중복성을 찾는 알고리즘들은 노이즈에 지나치게 민감하거나 중복성을 계산하는 데 있어 시간이 많이 소모되는 단점이 있었다. 따라서 본 논문에서는 Mellin Transform 을 사용하여 노이즈에 덜 민감하고 빠른 시간에 이미지의 중복 정보를 찾아내는 방법을 제안한다. Mellin Transform을 이용하여 생성된 파노라마 영상은 이미지의 이동정보를 쉽게 구할 있어 동영상에서 움직이는 물체를 추적하거나 추정이 가능하여 물체 tracking 영역에 응용될 수 있을 것으로 보이며 또한 앞으로 현실감 있는 가상현실의 배경 생성에 도움이 될 것으로 생각된다.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.1
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• pp.89-95
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• 2015

In this paper we investigate the pricing of European contingent claims under regime switching. We use the Mellin transform to derive an analytic form of the valuation of contingent claims.

• Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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• v.17 no.4
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• pp.26-35
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• 2003

For the recognizing system to be classified the same or different images in the nature the rotation, scale and transition invariant features is to be necessary. There are many investigations to get the feature for the recognition system and the log-polar transform which is to be get the invariant feature for the scale and rotation is used. In this paper, we suggested the character recognition methods which are used the centroid method and the log-polar transform with the interpolation to get invariant features for the character recognition system and obtained the results of the above 50% differential ratio for the character features. And we obtained the about 90% recognition ratio from the suggested character recognition system using the BPEJTC which is used the invariant feature from the Mellin transform method for the reference image. and can be recognized the scaled and rotated input character. Therefore, we suggested the image character recognition system using the Mellin transform method and the BPEJTC is possible to recognize with the invariant feature for rotation scale and transition.

• East Asian mathematical journal
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• v.32 no.3
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• pp.301-310
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• 2016

Lookback options, in the terminology of nance, are a type of exotic option with path dependency whose the payoff depends on the optimal (maximum or minimum) underlying asset's price occurring over the life of the option. In this paper, we exploit Mellin transform techniques to find a closed-form solution for European lookback options in Black-Scholes model.

• East Asian mathematical journal
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• v.34 no.3
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• pp.239-248
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• 2018

In this paper, we derive a closed-form formula of a second-order approximation for a European corrected option price under stochastic elasticity of variance model mentioned in Kim et al. (2014) [1] [J.-H. Kim, J Lee, S.-P. Zhu, S.-H. Yu, A multiscale correction to the Black-Scholes formula, Appl. Stoch. Model. Bus. 30 (2014)]. To find the explicit-form correction to the option price, we use Mellin transform approaches.

• Journal of the Korean Statistical Society
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• v.23 no.2
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• pp.303-323
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• 1994

In this paper, distribution of Votaw's $\lambda_1$(mvc) criterion has been obtained using inverse Mellin transform, residue theorem and properties of special functions.

• Journal of the Korea Institute of Information and Communication Engineering
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• v.7 no.8
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• pp.1785-1791
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• 2003

This paper presents the mosaic method that the video sequence with shift and rotation information after Mellin Transform. The results are used to compute the projection matrix for each image registration. So before registration, we process camera calibration in order to reduce the image warp by camera and then compute the global projection matrix for image registration for reducing errors from rut image to last image. This paper describes the mosaic method that compute duplication and movement information quickly and robust noise using projection matrix on Mellin Transform.