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Byeongseon JEONG,Myungjin CHOI,Hong Oh KIM 한국산업응용수학회 2006 한국산업응용수학회 학술대회 논문집 Vol.1 No.2
Multiresolution analysis (MRA) based construction of the tight wavelet frames using fewer generators with symmetricity and compact support is one of the most important matters in theory and application where the redundant function representation is necessary. Especially, those wavelet frames associated with the interpolatory MRA are of interest. However, there is only one such MRA, generated by the piecewise linear B-spline refinable function. As an extension, this paper presents a class of anti-or symmetric tight wavelet frames with compact support based on the quasi-interpolatory MRA. The wavelet frames are constructed from the quasi-interpolatory subdivision masks whose refinable functions reproduce polynomials up to certain degree. Essentially two wavelet frame generators with the three times oversampling framelet transform are employed to reduce the shift variance of the discrete framelet transform and to increase the redundancy of the frequency sampling. The framelet transform can filter the exact intermediate frequency band between low and high frequencies, which guarantees the ternary frequency scales. Applications to signal and image denoising and erasure recovery revealing these properties of the wavelet frames are provided.
FEATURE PRESERVING FRAMELET DENOISING
Byeongseon JEONG,Myungjin CHOI 한국산업응용수학회 2009 한국산업응용수학회 학술대회 논문집 Vol.2009 No.5
Denoising is an inevitable and delicate issue in signal/image processing. Plenty of methods to remove the noises efficiently have been developed. However, the methods frequently remove the features that may provide important information. In this talk, we study how to preserve the signal/image features and present a useful method using framelet.
SYMMETRIC TIGHT WAVELET FRAMES CONSTRUCTED FROM QUASI-INTERPOLATORY SUBDIVISION MASKS
Byeongseon JEONG,Myungjin CHOI,Hong Oh KIM 한국산업응용수학회 2007 한국산업응용수학회 학술대회 논문집 Vol.2 No.1
This talk presents tight wavelet frames with two compactly supported symmetric generators of more than one vanishing moments in Unitary Extension Principle. We determine all possible free tension parameters of the quasi-interpolatory subdivision masks whose corresponding re-finable functions guarantee our wavelet frame. In order to reduce shift variance of the standard discrete wavelet transform, we use the three times overs amp ling filter bank and eventually obtain a ternary (low, middle, high) frequency scale. In applications to signal/image denoising and erasure recovery, the results demonstrate reduced shift variance and better performance of our wavelet frame than the usual wavelet systems such as Daubechies wavelets.
Byeongseon Jeong,Hong Oh Kim,Yeon Ju Lee,Jungho Yoon 한국산업응용수학회 2011 한국산업응용수학회 학술대회 논문집 Vol.6 No.1
One of the important capabilities for a subdivision scheme is the reproducing property of circular shapes or parts of conics that are important analytical shapes in geometrical modelling. In this regards, the first goal of this study is to provide necessary and sufficient conditions for a non-stationary subdivision to have the reproducing property of exponential polynomials. The result in fact extends the work of Dyn et al. [12], where the conditions for algebraic polynomial reproduction are discussed, to the case of non-stationary schemes. Then, we provide the approximation order of a non-stationary scheme reproducing a certain set of exponential polynomials. Next, we find that an exponential B-spline generates exponential polynomials in the associated spaces, but it may not reproduce any exponential polynomials. Thus, we present normalized exponential B-splines that reproduce certain sets of exponential polynomials. One interesting feature is that depending on the normalization factor, the set of exponential polynomials to be reproduced is varied. This provides us with the necessary accuracy and flexibility in designing target curves and surfaces. Some numerical results are presented to support the advantages of the normalized scheme by comparing them to the results without normalization.
A FAMILY OF NON-STATIONARY SUBDIVISION SCHEMES REPRODUCING EXPONENTIAL POLYNOMIALS
Byeongseon JEONG,Yeon Ju LEE,Jungho YOON 한국산업응용수학회 2012 한국산업응용수학회 학술대회 논문집 Vol.7 No.1
We present a family of non-stationary subdivision schemes taking the exponential quasi-spline as the basic limit function. Reaching up to interpolatory refinable functions, the exponential quasi-spline generalizes the exponential B-spline. The associated non-stationary subdivision scheme can reproduce the desired number of exponential polynomials. Due to the built-in parameter permitting a wide range of tension control, our scheme can avoid the undesirable artifact generated by usual non-stationary interpolatory schemes on the irregularly spaced region of control points. Under a natural condition on the rate of convergence of the shape parameters, all the subdivision schemes in the family have the same smoothness and approximation order as those of the asymptotically equivalent stationary schemes. We present numerical examples to verify that our subdivision schemes have high flexibility and versatility in design.
Analysis of non-stationary Hermite subdivision schemes reproducing exponential polynomials
Jeong, Byeongseon,Yoon, Jungho Koninklijke Vlaamse Ingenieursvereniging 2019 Journal of computational and applied mathematics Vol.349 No.-
<P><B>Abstract</B></P> <P>The aim of this paper is to study the convergence and smoothness of non-stationary Hermite subdivision schemes of order 2. In Conti et al. (2017) provided sufficient conditions for the convergence of a non-stationary Hermite subdivision scheme that reproduces a set of functions including exponential polynomials. The analysis has been focused on the non-stationary Hermite scheme with the order ≥ 3 , but the case of 2 (which is practically most useful) is yet to be investigated. In this regard, the first goal of this paper is to fill the gap. We analyze the convergence of non-stationary Hermite subdivision schemes of order 2. Next, we provide a tool which allows us to estimate the smoothness of a non-stationary Hermite scheme by developing a novel factorization framework of non-stationary vector subdivision operators. Using the proposed non-stationary factorization framework, we estimate the smoothness of the non-stationary Hermite subdivision schemes: the non-stationary interpolatory Hermite scheme proposed by Conti et al., (2015) and a new class of non-stationary dual Hermite subdivision schemes of de Rham-type.</P>
Construction of Hermite subdivision schemes reproducing polynomials
Jeong, Byeongseon,Yoon, Jungho Elsevier 2017 Journal of mathematical analysis and applications Vol.451 No.1
<P><B>Abstract</B></P> <P>The aim of this study is to present a new class of quasi-interpolatory Hermite subdivision schemes of order two with tension parameters. This class extends and unifies some of well-known Hermite subdivision schemes, including the interpolatory Hermite schemes. Acting on a function and the associated first derivative values, each scheme in this class reproduces polynomials up to a certain degree depending on the size of stencil. This is desirable property since the reproduction of polynomials up to degree <I>d</I> leads to the approximation order d + 1 . The smoothness analysis has been performed by using the factorization framework of subdivision operators. Lastly, we present some numerical examples to demonstrate the performance of the proposed Hermite schemes.</P>
Jeong, Yeonsu,Jo, Yun Kee,Kim, Bum Jin,Yang, Byeongseon,Joo, Kye Il,Cha, Hyung Joon American Chemical Society 2018 ACS NANO Vol.12 No.9
<P>Following surgical resection for primary treatment of solid tumors, systemic chemotherapy is commonly used to eliminate residual cancer cells to prevent tumor recurrence. However, its clinical outcome is often limited due to insufficient local accumulation and the systemic toxicity of anticancer drugs. Here, we propose a sprayable adhesive nanoparticle (NP)-based drug delivery system using a bioengineered mussel adhesive protein (MAP) for effective locoregional cancer therapy. The MAP NPs could be administered to target surfaces in a surface-independent manner through a simple and easy spray process by virtue of their unique adhesion ability and sufficient dispersion property. Doxorubicin (DOX)-loaded MAP NPs (MAP@DOX NPs) exhibited efficient cellular uptake, endolysosomal trafficking, and subsequent low pH microenvironment-induced DOX release in cancer cells. The locally sprayed MAP@DOX NPs showed a significant inhibition of tumor growth <I>in vivo</I>, resulting from the prolonged retention of the MAP@DOX NPs on the tumor surface. Thus, this adhesive MAP NP-based spray therapeutic system provides a promising approach for topical drug delivery in adjuvant cancer therapy.</P> [FIG OMISSION]</BR>
A comparative study on the bulk adhesive strength of the recombinant mussel adhesive protein fp-3.
Yang, Byeongseon,Kang, Dong Gyun,Seo, Jeong Hyun,Choi, Yoo Seong,Cha, Hyung Joon Harwood Academic Publishers 2013 BIOFOULING -CHUR- Vol.29 No.5
<P>Mussel adhesive protein (MAP) type 3 (fp-3) is considered one of the key components for mussel adhesion. However, its bulk adhesive strength has not been characterized due to its availability in limited quantities. In the present work, a feasible production (~47 mg l(-1)) of recombinant fp-3 was achieved, and its bulk adhesive strength was measured for the first time; ~0.57 MPa for the unmodified form and ~0.94 and ~2.28 MPa for the 3,4-dihydroxy-L-phenylalanine (DOPA)-modified form, having a 9.6% yield without and with oxidant treatment, respectively. Furthermore, values for the bulk adhesive strength of several DOPA-modified recombinant MAPs were compared. The maximum adhesive strength of DOPA-modified fp-3 after oxidant treatment was stronger than that of type 5 (fp-5), which has a 6.2% modification yield, and was comparable to that of hybrid types fp-131 and fp-151, which have similar yields (~5%). The strong bulk adhesive property of recombinant fp-3 demonstrates its potential use as a promising bioadhesive.</P>