Results 1 to 10 of about 366 (180)
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
exaly +3 more sources
On distinct perpendicular bisectors and pinned distances in finite fields
Finite Fields and Their Applications, 2016 Given a set of points $P \subset \mathbb F_q^2$ such that $|P|\geq q^{3/2}$ it is established that $|P|$ determines $Ω(q^2)$ distinct perpendicular bisectors. It is also proven that, if $|P| \geq q^{4/3}$, then for a positive proportion of points $a \in P$, we have $$|\{\| a- b\|: b \in P\}|=Ω(q),$$ where $\|a- b\|$ is the distance between points $a ...
Benjamin Lund +2 more
exaly +4 more sources
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
doaj +2 more sources
Mathematics, 2021 Every biological image contains quantitative data that can be used to test hypotheses about how patterns were formed, what entities are associated with one another, and whether standard mathematical methods inform our understanding of biological ...
John R. Jungck +3 more
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Cephalometric Evaluation of Maxillary and Mandibular Centers of Rotation Subsequent to Maxillary and Mandibular Surgery [PDF]
Iranian Journal of Orthodontics, 2019 Background: Due to significant effect of joint orthodontic and surgical treatment planning on the patients’ facial appearances, precise prediction of surgical outcomes is of great importance.
Delaram Shahbodaghi +4 more
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Generalized Perpendicular Bisector and Circumcenter [PDF]
, 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.
Rodriguez, Marc +3 more
openaire +2 more sources
Points and Lines Configurations for Perpendicular Bisectors of Convex Cyclic Polygons
The Electronic Journal of Combinatorics, 2022 We characterize the topological configurations of points and lines that may arise when placing $n$ points on a circle and drawing the $n$ perpendicular bisectors of the sides of the corresponding convex cyclic $n$-gon. We also provide exact and asymptotic formulas describing a random realizable configuration, obtained either by sampling the points ...
Paul Melotti +2 more
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Properties and Applications of the Simplified Generalized Perpendicular Bisector [PDF]
, 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.
Richard, Aurélie +5 more
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A geometric analysis of hallux valgus: correlation with clinical assessment of severity
Journal of Foot and Ankle Research, 2009 Background Application of plane geometry to the study of bunion deformity may represent an interesting and novel approach in the research field of hallux valgus.
Vila Joan, Piqué-Vidal Carlos
doaj +1 more source
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 ...
Jun Wang 0002, Ying Tan 0002
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