http://chineseinput.net/에서 pinyin(병음)방식으로 중국어를 변환할 수 있습니다.
변환된 중국어를 복사하여 사용하시면 됩니다.
Robust Invariant Features for Object Recognition, Pose Estimation and Topological Navigation
Zhe Lin,In So Kweon 한국과학기술원 인간친화 복지 로봇 시스템 연구센터 2005 International Journal of Assistive Robotics and Me Vol.6 No.1
We present a new robust image feature detector for the object recognition and vision based mobile robot navigation. The proposed algorithm extracts highly robust and repeatable features based on the key idea of tracking and grouping multi-scale interest points and selecting a unique representative structure with the strongest response in both spatial and scale domains. Weighted Zernike moments are used as the local descriptor for feature representation. The experimental results and performance evaluation show that our feature detector has high repeatability and invariance to large scale, viewpoint and illumination changes. The efficiency and usefulness of the proposed feature detection method are also confirmed by the excellent performance on object recognition and mobile robot indoor navigation.
Zhelin Piao,류성주,성효진,윤상조 강원경기수학회 2020 한국수학논문집 Vol.28 No.1
This article concerns a property of local rings and domains. A ring $R$ is called {\it weakly local} if for every $a\in R$, $a$ is regular or $1-a$ is regular, where a regular element means a non-zero-divisor. We study the structure of weakly local rings in relation to several kinds of factor rings and ring extensions that play roles in ring theory. We prove that the characteristic of a weakly local ring is either zero or a power of a prime number. It is also shown that the weakly local property can go up to polynomial (power series) rings and a kind of Abelian matrix rings.
Zhelin Piao 충청수학회 2019 충청수학회지 Vol.32 No.4
'A ring $R$ is called {\it right} (resp., {\it left}) {\it nilpotent-duo} if $N(R)a \subseteq aN(R)$ (resp., $aN(R)\subseteq N(R)a$) for every $a\in R$, where $N(R)$ is the set of all nilpotents in $R$. In this article we provide other proofs of known results and other computations for known examples in relation with right nilpotent-duo property. Furthermore we show that the left nilpotent-duo property does not go up to a kind of matrix ring.
Piao, Zhelin Chungcheong Mathematical Society 2019 충청수학회지 Vol.32 No.4
A ring R is called right (resp., left) nilpotent-duo if N(R)a ⊆ aN(R) (resp., aN(R) ⊆ N(R)a) for every a ∈ R, where N(R) is the set of all nilpotents in R. In this article we provide other proofs of known results and other computations for known examples in relation with right nilpotent-duo property. Furthermore we show that the left nilpotent-duo property does not go up to a kind of matrix ring.
Remarks on Weak Reversibility-over-center
Hongying Chen,이양,Zhelin Piao 영남수학회 2020 East Asian mathematical journal Vol.36 No.3
Huang et al. proved that the n by n upper triangular matrix ring over a domain is weakly reversible-over-center by using the property of regular matrices. In this article we provide a concrete proof which is able to be available in the related study of centers. Next we extend an example of weakly reversible-over-center, which was argued by Huang et al., to the general case.
A KIND OF NORMALITY RELATED TO REGULAR ELEMENTS
( Juan Huang ),( Zhelin Piao ) 호남수학회 2020 호남수학학술지 Vol.42 No.1
This article concerns a property of Abelain π-regular rings. A ring R shall be called right quasi-DR if for every α ∈ R there exists n ≥ 1 such that C(R)α<sup>n</sup> ⊆ αR, where C(R) means the monoid of regular elements in R. The relations between the right quasi-DR property and near ring theoretic properties are investigated. We next show that the class of right quasi-DR rings is quite large.
A GENERALIZATION OF ARMENDARIZ AND NI PROPERTIES
Li, Dan,Piao, Zhelin,Yun, Sang Jo Korean Mathematical Society 2018 대한수학회논문집 Vol.33 No.3
Antoine showed that the properties of Armendariz and NI are independent of each other. The study of Armendariz and NI rings has been doing important roles in the research of zero-divisors in noncommutative ring theory. In this article we concern a new class of rings which generalizes both Armendariz and NI rings. The structure of such sort of ring is investigated in relation with near concepts and ordinary ring extensions. Necessary examples are examined in the procedure.
A structure of noncentral idempotents
조은경,곽태근,이양,Zhelin Piao,서연숙 대한수학회 2018 대한수학회보 Vol.55 No.1
We focus on the structure of the set of noncentral idempotents whose role is similar to one of central idempotents. We introduce the concept of quasi-Abelian rings which unit-regular rings satisfy. We first observe that the class of quasi-Abelian rings is seated between Abelian and direct finiteness. It is proved that a regular ring is directly finite if and only if it is quasi-Abelian. It is also shown that quasi-Abelian property is not left-right symmetric, but left-right symmetric when a given ring has an involution. Quasi-Abelian property is shown to do not pass to polynomial rings, comparing with Abelian property passing to polynomial rings.
ON WEAKLY LEFT QUASI-COMMUTATIVE RINGS
Kim, Dong Hwa,Piao, Zhelin,Yun, Sang Jo Korean Mathematical Society 2017 대한수학회논문집 Vol.32 No.3
We in this note consider a generalized ring theoretic property of quasi-commutative rings in relation with powers. We will use the terminology of weakly left quasi-commutative for the class of rings satisfying such property. The properties and examples are basically investigated in the procedure of studying idempotents and nilpotent elements.
Structures Related to Right Duo Factor Rings
Hongying Chen,이양,Zhelin Piao 경북대학교 자연과학대학 수학과 2021 Kyungpook mathematical journal Vol.61 No.1
We study the structure of rings whose factor rings modulo nonzero proper ideals are right duo; such rings are called right FD. We first see that this new ring property is not left-right symmetric. We prove for a non-prime right FD ring R that R is a subdirect product of subdirectly irreducible right FD rings; and that R/N∗(R) is a subdirect product of right duo domains, and R/J(R) is a subdirect product of division rings, where N∗(R) (J(R)) is the prime (Jacobson) radical of R. We study the relation among right FD rings, division rings, commutative rings, right duo rings and simple rings, in relation to matrix rings, polynomial rings and direct products. We prove that if a ring R is right FD and 0 ̸= e2 = e ∈ R then eRe is also right FD, examining that the class of right FD rings is not closed under subrings.