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Geometric Transformation of Pinched Hallways

by Instructor Dr, Julie A. Dickerson, Students Pan Du, Zhenyu Zhang , 2001
"... In this project, we know two images of a rectangular grid of holes before and after the distortion. We designed the geometric transforms based on these two images, and then applied the transforms to restore the distorted images of pinched hallways. We used two solutions to design the geometric trans ..."
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In this project, we know two images of a rectangular grid of holes before and after the distortion. We designed the geometric transforms based on these two images, and then applied the transforms to restore the distorted images of pinched hallways. We used two solutions to design the geometric

Geometric Transformations in Design Generation

by Fatma Mete
"... Abstract We present a method for transforming a simple plane figure or motif into another, which is related to it in a definite way, by applying a group of systematic geometric transformations. The method creates certain classes of star motifs from a basic plane figure. We demonstrate that surface ..."
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Abstract We present a method for transforming a simple plane figure or motif into another, which is related to it in a definite way, by applying a group of systematic geometric transformations. The method creates certain classes of star motifs from a basic plane figure. We demonstrate that surface

THE ROLE OF THE MUSIC TO LEARN GEOMETRICAL TRANSFORMATIONS

by Daniela Galante
"... This research studies the interaction among the following contexts: natural language, geometrical language and musical language and it can provide new instruments to accord didactical situations and for a deeper understanding of communication processes. It springs from the consideration that the geo ..."
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that the geometrical transformations are usually used in the compositional processes and the “role of the music to learn geometrical transformations ” is actually a new study. In the field of the theory of situations by G. Brousseau (1986) we can assume to be in front of a learning teaching-situation including non

Algorithm on Tape Graph and Their Geometric Transformations

by M El-Ghoul , M M Khalil , H Ahmed
"... Abstract In this paper, we introduce the algorithm on tape graph when the tape graph weighted and unweighted, and we discusses some geometric transformations (folding, deformation and retraction) on the tape graph, when the tape graph weighted and unweighted. ..."
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Abstract In this paper, we introduce the algorithm on tape graph when the tape graph weighted and unweighted, and we discusses some geometric transformations (folding, deformation and retraction) on the tape graph, when the tape graph weighted and unweighted.

Bounds On Some Geometric Transforms

by Md. Kamrul Islam , 2005
"... A flip or edge-replacement can be considered as a transformation by which one edge e of a geometric figure is removed and an edge f (f = e) is inserted such that the resulting figure belongs to the same class as the original figure. This thesis is concerned with transformation of two kinds of geome ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
A flip or edge-replacement can be considered as a transformation by which one edge e of a geometric figure is removed and an edge f (f = e) is inserted such that the resulting figure belongs to the same class as the original figure. This thesis is concerned with transformation of two kinds

Hierarchy and geometric transformations.

by D Free-form Deformation
"... This paper briefly presents an efficient and intuitive 3D freeform deformation approach based on iterative affine transformations, a generalized de Casteljau algorithm, whereby the object warps along a Bézier curve as its skeleton. ..."
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This paper briefly presents an efficient and intuitive 3D freeform deformation approach based on iterative affine transformations, a generalized de Casteljau algorithm, whereby the object warps along a Bézier curve as its skeleton.

Error propagation through geometric transformations

by Shi-min Hu, Johannes Wallner , 2003
"... Abstract. We investigate the propagation of errors through geometric transformations, such as reflections, rotations, similarity transformations, and projections, and also the scalar product of vectors. This means computing tolerance zones of points which undergo such transformations, if these point ..."
Abstract - Cited by 5 (4 self) - Add to MetaCart
Abstract. We investigate the propagation of errors through geometric transformations, such as reflections, rotations, similarity transformations, and projections, and also the scalar product of vectors. This means computing tolerance zones of points which undergo such transformations

GEOMETRIC TRANSFORMATIONS AND SOLITON EQUATIONS

by Chuu-lian Terng
"... ar ..."
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Abstract not found

Some Geometric Transformations on New Trees

by M. El-ghoul , 2010
"... In this paper, we will introduce the tree of the new nested graph.The regular and irregular trees will be defined. The effects of the folding and retraction on it are deduced. Some geometric transformations of the new tree into itself are discussed. The incidence and adjacent matrices of the new gra ..."
Abstract - Cited by 1 (1 self) - Add to MetaCart
In this paper, we will introduce the tree of the new nested graph.The regular and irregular trees will be defined. The effects of the folding and retraction on it are deduced. Some geometric transformations of the new tree into itself are discussed. The incidence and adjacent matrices of the new

Learning Geometric Transformations with Clifford Neurons

by Sven Buchholz, Gerald Sommer , 2000
"... In this paper we propose a new type of neuron developed in the framework of Clifford algebra. It is shown how this novel Clifford neuron covers complex and quaternionic neurons and that it can compute orthogonal transformations very efficiently. The introduced framework can also be used for neural c ..."
Abstract - Cited by 3 (3 self) - Add to MetaCart
computation of non-linear geometric transformations which makes it very promising for applications. As an example we develop a Clifford neuron that computes the cross-ratio via the corresponding Möbius transformation. Experimental results for the proposed novel neural models are reported.
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