Semi-Modules and Crystal Bases via Affine Deligne-Lusztig Varieties
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There are two combinatorial ways of parameterizing the $J_b$-orbits of the irreducible components of affine Deligne-Lusztig varieties for $GL_n$ and superbasic $b$. One way is to use the extended semi-modules introduced by Viehmann. The other way is to use the crystal bases introduced by Kashiwara and Lusztig. In this paper, we give an explicit correspondence between them using the crystal structure.Keywords:
Crystal (programming language)
In this paper, we show that a compact affine manifold endowed with an Affine Anosov transformation is finitely covered by a complete affine nilmanifold.
Manifold (fluid mechanics)
Affine geometry
Affine representation
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A new method based on the corner feature and affine transformation is presented in order to realize automatic registration of infrared image and visual image,including corner extraction,edge extraction,corner match and affine transformation.Harris factor is used to detect the corners,and Canny operate is used to extract the edges in two images.The correlation of corner neighborhood is used in edge images to realize coarse corners match.Corners match is refined,and two pairs of corners are chosen as reference point of affine transformation,which are the best in matched corners.The affine transformation model is obtained,and affine transformation in the image prepared for registration is carried out.The experiment results show that the method can well complete automatic registration of infrared image and visual image at a faster registration speed.
Corner detection
Image registration
Feature (linguistics)
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In this paper,some new concepts and properties abou t affine sets and affine transformations are proposed.For affine sets,the concep t of maximal affinely independent quantities is defined,and we point out the rel ationship between the maximal linearly independent quantities and the maximal af f inely independent quantities in the case of trivial and nontrivial affine sets .For affine transformations,we find that they can be determined uniquely by thei r functions on one affine basis.
Affine representation
Affine geometry
Basis (linear algebra)
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An active origin-based affine matching method was proposed in this paper. The basic idea is, the origin which has two adjustable parameters on the affine coordinate frame and the affine coordinate frame are both active. So the affine transformation between the model affine coordinate frame and the image affine coordinate frame has two adjustable parameters which will be applied to affine matching. Theoretical analysis and experiments demonstrated the proposed method being better than the conventional method.
Affine geometry
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The affine transformation is one of the most key techniques in image registration.Based on analyses for affine transformation model and basic ant colony optimization(ACO),a robust method to approximate the affine transform between two images of a scene was proposed.The proposed algorithm uses the properties of the ACO in continuous space.The new walking strategy and pheromone updating process were described.Some experimental results provided show that the proposed algorithm is effective.
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Білім берy қоғaмның экономикaлық дaмyының негізі, әлеyметтік тұрaқтылықтың фaкторлaрының бірі, хaлықтың рyхaни-aдaмгершілік әлеyетінің және интеллектyaлдық өсyінің қaйнaр көзі ретінде бaрлық yaқыттaрдa тaптырмaс құндылық болып есептеліп келеді. Aл қaзіргідей aдaм кaпитaлын қaлыптaстырy мен дaмытy мәселесін шешy негізгі міндет ретінде қaрaстырылaтын зaмaндa хaлықтың білімдік қaжеттіліктері өсіп, жоғaры, ортa aрнayлы, кәсіби қосымшa білім aлyғa үміткерлер сaны aртa түсyде. Бұғaн жayaп ретінде білім берy ұйымдaрының сaлaлaнyы aртып, әртүрлі типтегі оқy орындaрының сaны aртyдa, білім берyдің инфрaқұрылымы, бaсқaрy формaлaры, әдістемелік, ғылыми қызмет түрлері дaмyдa. Олaрды білім aлyшылaрдың жеке сұрaныстaры мен мүмкіндіктеріне бaғыттay күшейтілyде. Осығaн орaй білімнің сaпaсынa қойылaтын тaлaптaр aртып, бұл сaлaның әлеyметпен өзaрa әрекеттестігіне негізделген құрылымдық – қызметтік дaмyының көкейтестілігі aртyдa. Мaқaлaдa «серіктестік», «әлеyметтік серіктестік», «білімдегі әлеyметтік серіктестік» ұғым- дaрының мәні aшылып, олaрдың қaлыптaсy және дaмy үрдісіне шолy жaсaлaды, жоғaры оқy орындaрындa педaгогтaрды дaярлayдa әлеyметтік серіктестердің әлеyетін пaйдaлaнyдa бaсшылыққa aлынaтын ұстaнымдaр мен тиімді жолдaры сипaттaлaды. Түйін сөздер: серіктестік, әлеyметтік серіктестік, білімдегі әлеyметтік серіктестік, бірлескен әрекет ұстaнымдaры, әлеуметтік серіктестік әлеуеті. Обрaзовaние является основой экономического рaзвития обществa, одним из фaкторов социaль- ной стaбильности, источником дyховно-нрaвственного потенциaлa и интеллектyaльного ростa людей и во все временa считaлось незaменимой ценностью. И в нaстоящее время, когдa решение проблемы формировaния и рaзвития человеческого кaпитaлa рaссмaтривaется кaк основнaя зaдaчa, рaстyт обрaзовaтельные потребности людей, yвеличивaется количество желaющих полyчить высшее, среднее, специaльное, профессионaльное дополнительное обрaзовaние. В ответ нa это yсиливaется рaзветвленность обрaзовaтельных оргaнизaций, yвеличивaется количество обрaзовaтельных оргaни- зaций рaзличного типa, рaзвивaются инфрaстрyктyрa обрaзовaния, формы yпрaвления, методическaя и нayчнaя деятельность. Yсиливaется их ориентaция нa индивидyaльные потребности и возможности обyчaющихся. В связи с этим повышaются требовaния к кaчествy обрaзовaния, возрaстaет знaчение стрyктyрно-фyнкционaльного рaзвития этой сферы нa основе взaимодействия с обществом. В стaтье рaскрывaется знaчение понятий «пaртнерство», «социaльное пaртнерство», «социaльное пaртнерство в обрaзовaнии», рaссмaтривaется процесс их стaновления и рaзвития, описывaются рyко- водящие принципы и эффективные способы использовaния потенциaлa социaльных пaртнеров в подготовке педaгогических кaдров в высших yчебных зaведениях. Ключевые словa: партнерство, социaльное пaртнерство, социaльное пaртнерство в обрaзовaнии, принципы совместного действия, поненциал социального партнерство. Education is the basis of the economic development of society, one of the factors of social stability, a source of spiritual and moral potential and intellectual growth of people and has always been considered an irreplaceable value. And at the present time, when the solution of the problem of the formation and development of human capital is considered as the main task, the educational needs of people are growing, the number of people wishing to receive higher, secondary, special, professional additional education is increasing. In response to this, the branching of educational organizations is increasing, the number of educational organizations of various types is increasing, the infrastructure of education, forms of management, methodological and scientific activities are developing. Their focus on the individual needs and capabilities of students is increasing. In this regard, the requirements for the quality of education are increasing, the importance of the structural and functional development of this sphere on the basis of interaction with society is increasing. The article reveals the meaning of the concepts of "partnership", "social partnership", "social partnership in education", examines the process of their formation and development, describes the guidelines and effective ways to use the potential of social partners in the training of teachers in higher educational institutions. Keywords: partnership, social partnership, social partnership in education, principles of joint action, the potential of social partnership.
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This paper describes the development of a cylindrical affine transformation model for image registration. The usefulness of the model for initial alignment was demonstrated for the application of registering prone and supine 3D MR images of the breast. Final registration results visually improved when using the cylindrical affine transformation model instead of none or a Cartesian affine transformation model before non-rigid registration.
Image registration
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As a simple case, this chapter deals with interpolating two triangles via affine transformations. We note that interpolating affine transformations itself may also have other interesting applications; see, for example, [Shoemake1994b] and [Alexa2002].
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In this paper, translation, rotation and scale properties of 2\|D affine transformation are discussed. Visual and IR image registration require a feature\|based apporach. Establishing affine transformation and extracting edge points as feature, this method calculates the cross\|correlation between edges and searches out the relation of corresponding edge points. The maximum correlation principle is involved to adaptively determine the optimal registration parameters k、θ、Δx and Δy . Experimental results using real visual/IR sensor image are presented. It is shown that this model is effective in image registration.
Image registration
Feature (linguistics)
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