Academic literature on the topic 'Bezier curve'

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Journal articles on the topic "Bezier curve"

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Raseli, Siti Sarah, Nur Ain Mohd Khusairy Faisal, and Norpah Mahat. "Construction of Cubic Bezier Curve." Journal of Computing Research and Innovation 7, no. 2 (2022): 111–20. http://dx.doi.org/10.24191/jcrinn.v7i2.291.

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The construction of Bezier curves is one of the curves that are commonly discussed in Computer-Aided Geometric Design (CAGD). This study focuses on cubic Bezier curve. The objectives in this study are to review the properties of cubic Bezier curve and construct the cubic Bezier curves. In this study, the expanding equations from the basis function of the curve is used to construct the cubic Bezier curve. Future researchers can expand the degree of the Bezier curves, which is more useful in Computer-Aided Design (CAD), CAGD and engineering. The next studies in Bezier curve are recommended as a
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Juhari, Juhari. "Mathematical Model Quartic Curve Bezier of Modification Cubic Curve Bezier." CAUCHY 6, no. 2 (2020): 77. http://dx.doi.org/10.18860/ca.v6i2.9054.

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<div><p>The creative industries have become the government's attention for contributing to economic accretion. But due to the lack of artistic creativity and appeal, the evolution of the creative industries' craft section is not optimal. So that it was needed a variation of relief items to increase attractiveness. In general, an industrial object's design is still limited to the space geometry objects or a Bezier curve of degree two. Therefore, Bezier curves of degree are selected and modified it into a quartic Bezier forms and then applied to the design of industrial objects (glas
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Guo, Xin Cheng, Xiao Yan Tang, Zi Hui Song, and Feng Li Gao. "Transformation of the Glyph Curve in Map Publishing." Advanced Materials Research 341-342 (September 2011): 883–87. http://dx.doi.org/10.4028/www.scientific.net/amr.341-342.883.

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In the case of complete information, it is of great significance that use cubic Bezier curves which used as primitive form standard in graphic system to express the spatial data for data processing and transmission. In the text fonts of map, it is customary to use straight lines and the set of quadratic Bezier curves to describe the glyph outlines,but it is inconvenient in the process because the quadratic Bezier curves are non-standard curves. Based on this situation, in this paper,it is proposed the method of quadratic curves fitting using cubic Bezier curves and derive corresponding computi
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Shen, Yong Luo, Jun Zhang, Di Wei Yang, and Lin Bo Luo. "A Bezier Curve Based Key Management Scheme for Hierarchical Wireless Sensor Networks." Applied Mechanics and Materials 263-266 (December 2012): 2979–85. http://dx.doi.org/10.4028/www.scientific.net/amm.263-266.2979.

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In this paper, we propose a novel key management scheme based on Bezier curves for hierarchical wireless sensor networks (WSNs). The design of our scheme is motivated by the idea that a Bezier curve can be subdivided into arbitrarily continuous pieces of sub Bezier curves. The subdivided sub Bezier curves are easily organized to a hierarchical architecture that is similar to hierarchical WSNs. The subdivided Bezier curves are unique and independent from each other so that it is suitable to assign each node in the WSN with a sub Bezier curve. Since a piece of Bezier curve can be presented by it
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Siswanah, Emy. "MODELING OF BOND YIELD CURVE USING CUBIC BEZIER CURVE." BAREKENG: Jurnal Ilmu Matematika dan Terapan 16, no. 4 (2022): 1505–14. http://dx.doi.org/10.30598/barekengvol16iss4pp1505-1514.

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Investors attracted to Bond have to analyze the Bond yield curve. In this study, the bond yield curve is modeled using a cubic bezier curve. The cubic bezier curve is flexible, precise, and simple to use and evaluate. The bonds used in this study are Surat Berharga Negara (Government Paper) Fix Rate type dated August, 2nd–6th 2021. Bond data is obtained from the Indonesia Stock Exchange https://www.idx.co.id. The results show that the bond yield curve that is formed varies because bond yields change every time following market developments. The cubic bezier curve is able to model the bond yiel
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Juhari, Juhari. "Modification of the Curve and the Surface Polynomial Bezier Using de Casteljau Algorithm." CAUCHY 5, no. 4 (2019): 210. http://dx.doi.org/10.18860/ca.v5i4.6346.

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<p class="Abstract">Research carried out to obtain a Bezier curve of degree six resulting curvature of the curve is more varied and multifaceted. Stages in formulating applications Bezier surfaces revolution in design, there are three marble objects. First, calculate the parametric representation revolution Bezier surface and shape modification in a number of different forms. Second, formulate Bezier parametric surfaces that are continuously incorporated. Lastly, apply the formula to the design objects using computer simulation. Results marble obtained are Bezier curves of degree six mod
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Konopatskiy, E. V. "GEOMETRIC MODELING OF THE CONTOUR ARCS PASSING THROUGH THE PREDEFINED POINTS." Vestnik komp'iuternykh i informatsionnykh tekhnologii, no. 217 (July 2022): 13–20. http://dx.doi.org/10.14489/vkit.2022.06.pp.013-020.

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Multidimensional interpolation is an important scientific task in demand of various science fields and technology. The geometrical theory of multidimensional interpolation has been further developed in terms of extending the shaping tools of geometrical modeling at the expense of the contour arcs passing through the predefined points. The proposed method is based on modification of Bezier’s curve with preservation of tangents in its initial and/or final points. Then the Bezier curve retains its geometrical properties of the arc, but additionally has the possibility to pass through several poin
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Krivosheev, O. V., S. V. Mavrin, and A. S. Starkova. "Bezier curve conjugation for smooth curve joining and corner rounding." Omsk Scientific Bulletin, no. 194 (2025): 26–34. https://doi.org/10.25206/1813-8225-2025-194-26-34.

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The authors propose an analytical method for the smooth connection of two Bezier curves of arbitrary degree using a connecting curve, which is also a Bezier curve. At the points of connection between the connecting curve and the original curves, the smoothness order corresponds to the degrees of the original curves. Additional constraints can be imposed on the connecting curve, which frequently arise when addressing practical design challenges. Theorems establishing the necessary conditions for the existence of the connecting curve are proven. The capabilities of the proposed method are demons
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Bao, Hong. "Bezier Curve Modeled Phase Diagram." Advanced Materials Research 716 (July 2013): 733–38. http://dx.doi.org/10.4028/www.scientific.net/amr.716.733.

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A new management method for storing and constructing phase diagram is proposed for purpose of reducing the amount of storage and improving the readability of the phase diagram. We name the new management method as Bezier curve modeled phase diagram (BCMPD) . An entire phase diagram is consists of a set of cubic Bezier curves and straight lines under the BCMPD. Bezier curve based data structure is used for existing phase diagram storage. is modeled by a cubic Bezier curve. The strategy of Bezier curve modeling each piece of curve within a phase diagram is discussed in detail. Experimental resul
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Awang, Noorehan, Fatin Najihah Ghazali, and Siti Sarah Zainuddin. "Redesign Arabic Calligraphy Outline by using Bezier, Wang-Ball and Said-Ball Curves." Mathematical Sciences and Informatics Journal 3, no. 1 (2022): 100–110. http://dx.doi.org/10.24191/mij.v3i1.18303.

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In the history of the revitalization of traditional art in the modern world, Arabic calligraphy was one of the art phenomena. This research suggests using Bezier curves, Wang Ball curves, and Said-Ball curves to improve Arabic calligraphy. Our goal in calligraphy is to achieve a smooth beautifying contour of a character. The calligraphy outline, which was largely Arabic, was frequently applied in Bezier curve degrees two and three. As a result, the degree elevation for each curve was increased until it reached degree four, allowing for greater Bezier curve study. This paper presents the compar
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Dissertations / Theses on the topic "Bezier curve"

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Pastva, Tim A. "Bezier curve fitting." Thesis, Monterey, Calif. : Springfield, Va. : Naval Postgraduate School ; Available from National Technical Information Service, 1998. http://handle.dtic.mil/100.2/ADA350611.

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Thesis (M.S. in Applied Mathematics) Naval Postgraduate School, September 1998.<br>"Spetember 1998." Thesis adviso(s): Carlos F. Borges. Includes bibliographical references (p. 57). Also available online.
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Cairo, Giuseppe. "Curve di Bezier e Calcolo Numerico." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2012. http://amslaurea.unibo.it/4463/.

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Strada, Alberto Riccardo. "Polinomi di Bernstein e curve di Bezier." Bachelor's thesis, Alma Mater Studiorum - Università di Bologna, 2013. http://amslaurea.unibo.it/6302/.

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Questo lavoro si pone come obiettivo l'approfondimento della natura e delle proprietà dei polinomi espressi mediante la base di Bernstein. Introdotti originariamente all'inizio del '900 per risolvere il problema di approssimare una funzione continua su un intervallo chiuso e limitato della retta reale (Teorema di Stone-Weierstrass), essi hanno riscosso grande successo solo a partire dagli anni '60 quando furono applicati alla computer-grafica per costruire le cosiddette curve di Bezier. Queste, ereditando le loro proprietà geometriche da quelle analitiche dei polinomi di Bernstein, risultano i
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Miles, William. "Bezier curve based lattice planner and lateral controller for highway scenarios." Thesis, KTH, Skolan för industriell teknik och management (ITM), 2019. http://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-265584.

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The autonomous driving technology is transforming the road-based transport industry into a new era that will change the way we think about transport solutions. With advancements in computational power and sensor precision, self-driving vehicles are predicted to be a reality in the near future. This thesis proposes a spatiotemporal motion planner for highway scenarios. The planner is designed to consider static and dynamic obstacles to find a suboptimal and collision-free trajectory. The driveable region is sampled using a state-lattice to reduce oversampling and generates paths from different
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Степанов, К. А. "Сравнение алгоритмов поиска опорных вершин кривой Безье при помощи генетических алгоритмов". Thesis, Сумский государственный университет, 2016. http://essuir.sumdu.edu.ua/handle/123456789/47941.

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Popiel, Tomasz. "Geometrically-defined curves in Riemannian manifolds." University of Western Australia. School of Mathematics and Statistics, 2007. http://theses.library.uwa.edu.au/adt-WU2007.0119.

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[Truncated abstract] This thesis is concerned with geometrically-defined curves that can be used for interpolation in Riemannian or, more generally, semi-Riemannian manifolds. As in much of the existing literature on such curves, emphasis is placed on manifolds which are important in computer graphics and engineering applications, namely the unit 3-sphere S3 and the closely related rotation group SO(3), as well as other Lie groups and spheres of arbitrary dimension. All geometrically-defined curves investigated in the thesis are either higher order variational curves, namely critical points o
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Lipa, Matúš. "Interaktivní webové výukové aplikace z oblasti vektorové grafiky." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2019. http://www.nusl.cz/ntk/nusl-400884.

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This work deals with the creation of several interactive web applets for education of vector graphics. Described is the image signal, his discretization, vector and bitmap types of image record. Further they describe selected vector curves, their properties, algorithms for their construction and usage. The principles of rasterization of basic vector objects are explained. Using the Figma tool, graphical user interfaces for each applet are designed. These applets are implemented using HTML and Javascript. The implemented applets are placed on web pages that are used in computer graphics educati
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Calcoen, Emmanuelle. "Approximation polygonales d'objets convexes du plan pour la geometrie algorythmique." Université Joseph Fourier (Grenoble), 1996. http://www.theses.fr/1996GRE10025.

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La geometrie algorithmique a resolu de tres nombreux problemes sur des structures lineaires: ensembles de points, polygones dans cette these, nous nous interessons a des problemes de geometrie algorithmique concernant des objets non lineaires. Pour cela, nous introduisons la notion de convexe-f b, objet convexe du plan dont la frontiere est une union convexe de courbes de bezier dont les polygones de controle sont convexes. Nous sommes naturellement amenes a etudier les relations entre une courbe de bezier convexe et la convexite des polygones obtenus par subdivision. Pour tout convexe-f b, pa
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Hüge, Carsten. "Geometrieoptimierung eines Kunststoff-Druckbehälters mittels parametrischer Bezierkurven." Universitätsbibliothek Chemnitz, 2012. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-qucosa-86992.

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Die Geometrie eines Druckbehälters wird unter Zuhilfenahme parametrischer Bezierkurven und durch die Integration einer externen Mathcad-Analyse in Creo hinsichtlich einer harmonischen, meridianen Spannungsverteilung optimiert.
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Liu, Zehao. "Obstacle Avoidance Path Planning for Worm-like Robot." Case Western Reserve University School of Graduate Studies / OhioLINK, 2021. http://rave.ohiolink.edu/etdc/view?acc_num=case1619457610715525.

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Books on the topic "Bezier curve"

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Lasser, Dieter. Calculating the self-intersections of Bezier curves. Naval Postgraduate School, 1988.

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Bezier Curve Fitting. Storming Media, 1998.

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Prautzsch, Hartmut, Marco Paluszny, and Wolfgang Boehm. Bezier and B-Spline Techniques. Springer, 2002.

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Curvature continuity of cubic Bezier curves in the solid modeling aerospace research tools design software: Interim report. NASA Langley Research Center, 1990.

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Book chapters on the topic "Bezier curve"

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Lifaros. "Bezier Curve Creatures." In Fresh Flash. Apress, 2002. http://dx.doi.org/10.1007/978-1-4302-5163-7_7.

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Masood, Asif, and Sidra Ejaz. "An Efficient Algorithm for Robust Curve Fitting Using Cubic Bezier Curves." In Advanced Intelligent Computing Theories and Applications. With Aspects of Artificial Intelligence. Springer Berlin Heidelberg, 2010. http://dx.doi.org/10.1007/978-3-642-14932-0_32.

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Zhao, Linghui, Jingqing Jiang, Chuyi Song, Lanying Bao, and Jingying Gao. "Parameter Optimization for Bezier Curve Fitting Based on Genetic Algorithm." In Lecture Notes in Computer Science. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-38703-6_53.

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Machmudah, Affiani, Setyamartana Parman, and Azman Zainuddin. "Toward Bezier Curve Bank-Turn Trajectory Generation for Flying Robot." In Intelligent Systems Reference Library. Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-23363-0_5.

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Garain, Jogendra, Ravi Kant Kumar, Dakshina Ranjan Kisku, and Goutam Sanyal. "Selection of User-Dependent Cohorts Using Bezier Curve for Person Identification." In Lecture Notes in Computer Science. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-41501-7_63.

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Shu, Yu, Donghui Zhao, Zihao Yang, Junyou Yang, and Yokoi Hiroshi. "Motion Planning Method for Home Service Robot Based on Bezier Curve." In Intelligent Robotics and Applications. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-13844-7_8.

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Sun, Qi-Hang, Cheng-Cheng Wang, Yu-Long Wang, and Fei Wang. "Path Planning Based on Improved RRT and Bezier Curve Fusion Algorithm." In Communications in Computer and Information Science. Springer Nature Singapore, 2024. https://doi.org/10.1007/978-981-96-0313-8_9.

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Xu, Zhijie, Shuai Wei, Nianfeng Wang, and Xianmin Zhang. "Trajectory Planning with Bezier Curve in Cartesian Space for Industrial Gluing Robot." In Intelligent Robotics and Applications. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-13963-0_15.

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Kmet, Tibor, and Maria Kmetova. "Bezier Curve Parameterization Methods for Solving Optimal Control Problems of SIR Model." In Theory and Practice of Natural Computing. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-71069-3_8.

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An, Peng, Wenbin Ye, Zizhao Wang, Hua Xiao, Yongsong Long, and Jia Hao. "Bezier Curve-Based Shape Knowledge Acquisition and Fusion for Surrogate Model Construction." In Lecture Notes in Networks and Systems. Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-031-18461-1_22.

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Conference papers on the topic "Bezier curve"

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Yu, Bochao, Chunya Tong, Haoxiang Zhang, and Hongxing Yuan. "Bezier Curve Based Foot Trajectory Control for Quadruped Robots." In 2024 IEEE International Conference on Robotics and Biomimetics (ROBIO). IEEE, 2024. https://doi.org/10.1109/robio64047.2024.10907356.

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Chen, Yu, Meilin Zhong, Leyuan Zhang, et al. "Ultra-Large FSR Silicon Adiabatic Microring Resonators Based on Euler Curve and Modified Bezier Curve." In 2024 Asia Communications and Photonics Conference (ACP) and International Conference on Information Photonics and Optical Communications (IPOC). IEEE, 2024. https://doi.org/10.1109/acp/ipoc63121.2024.10809687.

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Fatchulloh, Moch Arif, and Nu Rhahida Arini. "Airfoil profile modifications based on Bezier Curve and Optimization using PSO." In 2024 International Electronics Symposium (IES). IEEE, 2024. http://dx.doi.org/10.1109/ies63037.2024.10665878.

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Zheng, Chengwei, Jianbin Wu, Yuhang Bao, and Changyun Wei. "Bezier Curve-based Motion Planning for Efficient Robot Exploration in Unknown Environments." In 2024 IEEE International Conference on Unmanned Systems (ICUS). IEEE, 2024. https://doi.org/10.1109/icus61736.2024.10839886.

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Kim, Jae-Yong, Seokjin Hong, Jinhyeong Yoon, Hyo-Hoon Park, and Hamza Kurt. "Inverse Design of Compact Multimode Waveguide Bends Leveraging Enhanced Bezier Curve Techniques." In 2024 Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR). IEEE, 2024. http://dx.doi.org/10.1109/cleo-pr60912.2024.10676715.

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Edwards, Jamie, Andrew Davis, and Eugene Shwageraus. "A Recursive Subdivision Algorithm for Delta-Tracking on Bezier Curve Geometries in SCONE." In International Conference on Physics of Reactors (PHYSOR 2024). American Nuclear Society, 2024. http://dx.doi.org/10.13182/physor24-43711.

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Rai, Priyanshi, Kartik Gupta, Tanupriya Choudhury, and Bhupesh Kumar Dewangan. "Reconstructing Bezier Curve Segments in SVG Graphics: A Mathematical Approach to Shape Restoration." In 2025 4th OPJU International Technology Conference (OTCON) on Smart Computing for Innovation and Advancement in Industry 5.0. IEEE, 2025. https://doi.org/10.1109/otcon65728.2025.11070764.

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Zhang, Guicang, Yujin Zhang, Shaojun Cui та Huifang Feng. "Generalized Bezier curve: α Bezier curve". У Second International Conference on Image and Graphics, редактор Wei Sui. SPIE, 2002. http://dx.doi.org/10.1117/12.477099.

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Ahmad, Azhar, R. Gobithasan, and Jamaluddin Md Ali. "G2 Transition curve using Quartic Bezier Curve." In Computer Graphics, Imaging and Visualisation (CGIV 2007). IEEE, 2007. http://dx.doi.org/10.1109/cgiv.2007.44.

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Wahab, Abd Fatah, Rozaimi Zakaria, and Jamaludin Md Ali. "Fuzzy Interpolation Rational Bezier Curve." In 2010 Seventh International Conference on Computer Graphics, Imaging and Visualization (CGIV). IEEE, 2010. http://dx.doi.org/10.1109/cgiv.2010.17.

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Reports on the topic "Bezier curve"

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Trageser, Jeremy, and John Mitchell. A Bezier Curve Informed Melt Pool Geometry to Model Additive Manufacturing Microstructures Using SPPARKS. Office of Scientific and Technical Information (OSTI), 2020. http://dx.doi.org/10.2172/1664647.

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