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Represent Image Contents Using Curves and Chain Code

Pornchai Mongkolnam, Chakarida Nukoolkit, Thanee Dechsakulthorn
2007 IAPR International Workshop on Machine Vision Applications  
A contour of the region is approximated by a B-spline curve to get its control polygon. A convex hull of each region is then computed from the obtained control polygon.  ...  In a multi-scale setting, the Chaikin's algorithm is iteratively applied to the obtained B-spline control polygon in order to get finer control polygons, which in the limit results in the B-spline curve  ...  Acknowledgments We wish to acknowledge the support of the National Science and Technology Development Agency (NSTDA) of Thailand under grant F-31-205-20-01 and the KMUTT's Research and Intellectual Property  ... 
dblp:conf/mva/MongkolnamND07 fatcat:w2jibqq5hjdrvobqnbb3t7pk4a

A Hybrid Approach for Image Retrieval with Ontological Content-Based Indexing [chapter]

Oleg Starostenko, Alberto Chávez-Aragón, J. Alfredo Sánchez, Yulia Ostróvskaya
2005 Lecture Notes in Computer Science  
In order to speed up preprocessing, we have proposed and implemented the convex regions algorithm and discrete curve evolution approach.  ...  Another goal of the proposed method is the integration of user-oriented descriptions, which leads to more complete retrieval by accelerating the convergence to the expected result.  ...  The last procedure of the preprocessing step is simplification of polygons representing the shape of objects detected by discrete curve evolution.  ... 
doi:10.1007/11578079_102 fatcat:vkfiuiyoijdcxjlna7ib4rk6ty

Immersive modeler for curved objects using implicit surfaces

Masatoshi Matsumiya, Kiyoshi Kiyokawa, Haruo Takemura, Naokazu Yokoya, Bhaskaran Gopalakrishnan, San Murugesan
1999 Intelligent Systems in Design and Manufacturing II  
The prototype system has shown that a user can design 3D solid objects composed of curved surfaces in a short time by deforming objects intuitively by one's hand and finger in real-time.  ...  A polygonization algorithm that generates polygonal representation from implicit surfaces is developed to reduce the time required for rendering curved surfaces, since conventional graphics hardware is  ...  Curved objects are displayed on CRT displays. It is hard to understand 3D curved objects on 2D displays. 3. Most of the existing free-form deformation methods are indirect.  ... 
doi:10.1117/12.359511 fatcat:gavcjm7tjjacjoquiydjsjyf2e

A Novel Star Field Approach for Shape Indexing in CBIR Systems

Oleg Starostenko, Alberto Chávez-Aragón, Genadiy Burlak, Renan Contreras
2007 Engineering Letters  
annotations of objects in image providing in this way the machine-understandable semantics.  ...  This paper presents a novel hybrid method for content based visual information retrieval (CBIR) that combines shape analysis of objects in image with their automatic indexing by textual descriptions.  ...  In Fig. 2 the computing of 2STF is presented for the same polygonal curve. The polygon on the right has been reflected and scaled by a factor of 0.8.  ... 
dblp:journals/engl/StarostenkoCBC07 fatcat:4tzj25uje5dyfpy37aqsllabsu

eulerForce: Force-directed layout for Euler diagrams

Luana Micallef, Peter Rodgers
2014 Journal of Visual Languages and Computing  
Other methods restrict the shape of the curve to for instance a circle, but such methods cannot draw an Euler diagram with exactly the required curve intersections for any set relations.  ...  In this paper, we present Force, as the first method to adopt a force-directed approach to improve the layout and the curves of Euler diagrams generated by current methods.  ...  Also, whenever possible, the curves were regular, similarly shaped and convex, all of which facilitate understanding [2] .  ... 
doi:10.1016/j.jvlc.2014.09.002 fatcat:32nnhvt7gzcudjtefpvlcswwsy

Representing Whole Slide Cancer Image Features with Hilbert Curves [article]

Erich Bremer, Jonas Almeida, Joel Saltz
2020 arXiv   pre-print
The distinctive property of Hilbert curves that enables both mask and polygon delimitation of ROIs is that the elements of the vector extracted ro describe morphological features maintain their relative  ...  In this paper we propose using Hilbert Curves simultaneously for spatial indexing and as a polygonal ROI representation.  ...  Approach The details of the mathematics of Hilbert curves is simplified for purposes of conceptual understanding as follows: N = H(X,Y) (X,Y) = H-1 (N) Each and every 2D (X,Y) coordinate on a grid will  ... 
arXiv:2005.06469v1 fatcat:vu7kybolgzc3jdfzwiumew4dna

Multiobjective Local Search Techniques for Evolutionary Polygonal Approximation [chapter]

José L. Guerrero, Antonio Berlanga, José M. Molina
2013 Advances in Intelligent Systems and Computing  
Polygonal approximation is based on the division of a closed curve into a set of segments.  ...  and final fronts, analyzed according to their statistical significance over a set of traditional curves from the domain.  ...  (a) Chromosome curve (b) Leaf curve (c) Semicircle curve Fig. 3 Curves included in the data set It is interesting to notice the complementary nature of the two multiobjective techniques presented, since  ... 
doi:10.1007/978-3-319-00551-5_21 fatcat:xuhrflnxljgufbw64eilyamciq

A new indexing approach using outlines primitives

Saliha Aouat
2013 2013 ACS International Conference on Computer Systems and Applications (AICCSA)  
We also propose a new and an efficient way to index the outline shapes. Indexes are issued from characteristic polygons determined on the outline shapes of the objects.  ...  In this paper, a new approach is proposed for modeling and indexing outline shapes by using simple primitives extracted from the contours of objects.  ...  Each contour of each object is segmented into elementary contours (primitives). Each primitive is either a straight-line segment or a curve (see Figure 1 ).  ... 
doi:10.1109/aiccsa.2013.6616424 dblp:conf/aiccsa/Aouat13 fatcat:fibtvbd5yfa6pd6yg76ggf7s3y

A tabu search based approach for graph layout

Fadi K. Dib, Peter Rodgers
2014 Journal of Visual Languages and Computing  
Other methods restrict the shape of the curve to for instance a circle, but such methods cannot draw an Euler diagram with exactly the required curve intersections for any set relations.  ...  In this paper, we present eulerForce, as the first method to adopt a force-directed approach to improve the layout and the curves of Euler diagrams generated by current methods.  ...  Also, whenever possible, the curves were regular, similarly shaped and convex, all of which facilitate understanding [2] .  ... 
doi:10.1016/j.jvlc.2014.10.019 fatcat:wtu6aaeqpfhejp26ymwkd62kze

A Novel Algorithm for Skeleton Extraction From Images Using Topological Graph Analysis

Liping Yang, Diane Oyen, Brendt Wohlberg
2019 2019 IEEE/CVF Conference on Computer Vision and Pattern Recognition Workshops (CVPRW)  
We compare three well-known thinning algorithms with our method, with the experimental results showing effectiveness of the proposed method and algorithms.  ...  We will use both algorithms to simplify complex shapes and evaluate which one works best for skeleton extraction; or (2) use Bézier curve to model the curve skeleton via storing the curve parameters  ...  The thinning process reduces redundant information in images and thus reduces image complexity for tasks such as shape analysis and scene understanding.  ... 
doi:10.1109/cvprw.2019.00152 dblp:conf/cvpr/YangOW19 fatcat:vijwx2l5ube2xagjakklua4rny

Investigation of pre-service elementary mathematics teachers' understanding on solids

Fatih Karakus, Zeynep Bahar Erşen
2021 REDIMAT: Journal of Research in Mathematics Education  
The aim of the present study is to determine the elementary pre-service mathematics teachers' understanding on solids.  ...  The results revealed that pre-service teachers made insufficient connections among cylinder, prism, cone and pyramid. So, it can be said that their understanding about solids was weak and procedural.  ...  points of the polygons. 9 15 12 19 Cylinder with polygonal bases --4 6 Geometric object with identical and parallel, polygonal bases 18 29 11 17 Three-dimensional object with identical and parallel  ... 
doi:10.17583/redimat.2021.3638 fatcat:ykly6d5z4zfulplkqlt4dc45fm

Objectives in Teaching Demonstrative Geometry

W. D. Reeve
1927 Mathematics Teacher  
In The Mathematics Teacher for November, 1925 I published an article on "Objectives in the Teaching of Mathematics," a large part of which was a list of specific objectives in elementary algebra.  ...  As was the case with the other two lists, this new group of objectives is not intended to be final, but tentative.  ...  Curved surface of a circular cylinder. THE MATHEMATICS TEACHER 5. Curved surface of a cone of revolution. 6. Curved surface of a frustum of a cone of revolution. II. To develop an understanding: 1.  ... 
doi:10.5951/mt.20.8.0435 fatcat:u64w2yodrfapri3c4tiyaoc42q

USAGE OF 3D TECHNOLOGIES IN STEREOMETRY TRAINING

Penio Lebamovski, Emiliyan Petkov
2020 Proceedings of CBU in Social Sciences  
The report presents a comparative analysis of the existing and new way of creating a regular polygon. The graphics can be presented in two ways, namely: solid and transparent.  ...  The boundary method is used for creating the figures, which is based on the method of the boundaries of Isaac Newton and the "Indivisible" of the Italian mathematician Bonaventura Cavalieri.  ...  This necessity results from the fact that when studying stereometric figures, problems arise in understanding the objects.  ... 
doi:10.12955/pss.v1.61 fatcat:efpwhmmo5zf7bj6qfk2u37psk4

Research on HPM Teaching Supported by Hawgent Dynamic Mathematics Software: Take "The Recognition of Circle" as an Example

Linfeng Han, Qian Tao
2021 Journal of Contemporary Educational Research  
and uncover the history of mathematics, make the products and show the history of mathematics, design the teaching and integrate the history of Mathematics.  ...  History and Pedagogy of Mathematics (HPM) is one of the important research fields in mathematics education, which has received widespread attention from the mathematics education community because of its  ...  Acknowledgments The author would like to acknowledge Qian Tao, who participated in the study, for her instructive advice and useful suggestions in the writing of this paper.  ... 
doi:10.26689/jcer.v5i8.2453 fatcat:oi7uiurdnve7xd752nlxsjhbui

Mapping Free Educational Software Used to Develop Geometric Reasoning

Eliane Elias Ferreira dos Santos, Aleandra da Silva Figueira-Sampaio, Gilberto Arantes Carrijo
2015 Procedia - Social and Behavioral Sciences  
The goal of this study was to map free educational software regarding space and shape content for mathematics education. The study was conducted with public elementary teachers (grades 6-9).  ...  Of the thirtythree software titles, 55% could contribute to space and shape content.  ...  Acknowledgements The authors recognize financial support from the following Brazilian institutions: Fundacao de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG) and the Coordenacao de Aperfeicoamento  ... 
doi:10.1016/j.sbspro.2015.04.748 fatcat:ne5rjjtl5vfu5nsjibhelsv7we
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