Results 1 to 10 of about 1,256 (187)
On the Semi-Group Property of the Perpendicular Bisector in a Normed Space
Axioms, 2022 Let (X,d) be a metric linear space and a∈X. The point a divides the space into three sets: Ha = {x ∈ X: d(0,x) < d(x,a)}, Ma = {x ∈ X: d(0,x) = d(x,a)} and La = {x ∈ X: d(0,x) > d(x,a)}. If the distance is generated by a norm, Ha is called the Leibnizian
Gheorghiță Zbăganu
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On the Mastery of Elementary Geometric Concepts [PDF]
Psychology in Russia: State of Art, 2023 We publish here the report by N.F. Talyzina to a Conference on Psychology in 1955 and released two years later in the proceedings of that conference (N.F. Talyzina [1957]. In B.G. Anan′yeva et al. [Eds.], Materialy soveshchaniia po psikhologii. July 1–6,
Nina F. Talyzina
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Generalized Perpendicular Bisector and Circumcenter [PDF]
Lecture Notes in Computer Science, 2010 This paper presents a theoretical generalization of the circumcenter as the intersection of generalized perpendicular bisectors. We define generalized bisectors between two regions as an area where each point is the center of at least one circle crossing each of the two regions.
Eric Andres +2 more
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Properties and Applications of the Simplified Generalized Perpendicular Bisector [PDF]
Lecture Notes in Computer Science, 2011 This paper deals with the Simplified Generalized Perpendicular Bisector (SGBP) presented in [15,1]. The SGPB has some interesting properties that we explore. We show in particular that the SGPB can be used for the recognition and exhaustive parameter estimation of noisy discrete circles.
Eric Andres +2 more
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Generalized Perpendicular Bisector and exhaustive discrete circle recognition [PDF]
Graphical Models, 2011 This paper presents a generalization of the notion of circumcenter as the intersection of perpendicular bisectors. We define Generalized Perpendicular Bisectors between two regions as an area where each point is the center of at least one circle crossing both regions.
Eric Andres, Gaëlle Skapin
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Students’ conceptions of reflection: Opportunities for making connections with perpendicular bisector [PDF]
Journal of Mathematical Behavior, 2016 Abstract Given the current emphasis on the use of transformations for the teaching and learning of geometry, there is opportunity to consider how students’ understanding of geometric transformations can be used to build connections with interrelated concepts.
Gloriana Gonzalez, Anna Dejarnette
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Efficient Euclidean distance transform using perpendicular bisector segmentation [PDF]
CVPR 2011, 2011 In this paper, we propose an efficient algorithm for computing the Euclidean distance transform of two-dimensional binary image, called PBEDT (Perpendicular Bisector Euclidean Distance Transform). PBEDT is a two-stage independent scan algorithm. In the first stage, PBEDT computes the distance from each point to its closest feature point in the same ...
Ying Tan, Jun Wang
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S M Nazmuz Sakib's Theorem of Symmetric Perpendicular Bisectors in Isosceles Triangles
NoumericoThis paper introduces a new geometric theorem focused on isosceles triangles, specifically examining the properties of perpendicular bisectors. The theorem asserts that in an isosceles triangle, where two sides are equal, the perpendicular bisectors of ...
Prof. Engr. Dr. S M Nazmuz Sakib
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Use of Cabri 2D software in drawing height, perpendicular bisector and diagonal
Procedia, Social and Behavioral Sciences, 2010 AbstractIn this study, the effect of Cabri 2d software on drawings of height, perpendicular bisector in triangles and diagonal in polygons was explored. Case study method was used in the study. Diagnostic questions and computer assisted worksheets related to height, perpendicular bisector and diagonal concepts were developed as data collecting tools ...
Bulent Güven, Cemalettin Yıldız
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SymmetryTo address the inadequate balance between exploration and exploitation of existing algorithms in complex solution spaces, this paper proposes a novel mathematical metaheuristic optimization algorithm—the Perpendicular Bisector Optimization Algorithm (PBOA).
Dafei Wu, Wei Chen, Ying Zhang
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