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Dissertations / Theses on the topic 'A sine cosine algorithm'

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Published: 7 June 2025
Last updated: 2 August 2025

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1

MASERA, MAURIZIO. "Transform algorithms and architectures for video coding." Doctoral thesis, Politecnico di Torino, 2018. http://hdl.handle.net/11583/2709432.

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During the last years, the increasing popularity of very high resolution formats and the growing of video applications have posed critical issues on both the coding efficiency and the complexity of video compression systems. This thesis focuses on the transform coding stage of the most recent video coding technologies, by addressing both the complexity evaluation and the design of custom hardware architectures. First, the thesis thoroughly analyzes the HEVC transform complexity, by relying on the proposed CI metric. A tool-by-tool investigation is performed to quantify the complexity of the tr
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2

Relton, Samuel. "Algorithms for matrix functions and their Fréchet derivatives and condition numbers." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/algorithms-for-matrix-functions-and-their-frechet-derivatives-and-condition-numbers(f20e8144-1aa0-45fb-9411-ddc0dc7c2c31).html.

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3

Brown, Susan A. Presmeg Norma C. "The trigonometric connection students' understanding of sine and cosine /." Normal, Ill. : Illinois State University, 2005. http://proquest.umi.com/pqdweb?index=0&did=1251811011&SrchMode=1&sid=2&Fmt=2&VInst=PROD&VType=PQD&RQT=309&VName=PQD&TS=1176384631&clientId=43838.

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Thesis (Ph. D.)--Illinois State University, 2005.<br>Title from title page screen, viewed April 12, 2007. Dissertation Committee: Norma C. Presmeg (chair), John A. Dossey, Michael J. Plantholt. Includes bibliographical references (leaves 253-261) and abstract. Also available in print.
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Martucci, Stephen A. "Symmetric convolution and the discrete sine and cosine transforms : principles and applications." Diss., Georgia Institute of Technology, 1993. http://hdl.handle.net/1853/15038.

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Helmrich, Christian [Verfasser], and Bernd [Gutachter] Edler. "Efficient Perceptual Audio Coding Using Cosine and Sine Modulated Lapped Transforms / Christian Helmrich ; Gutachter: Bernd Edler." Erlangen : Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU), 2017. http://d-nb.info/1137055502/34.

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Oyana, Damalie M. "Implementation of a new data stream clustering algorithm using discrete cosine transformed data /." Available to subscribers only, 2006. http://proquest.umi.com/pqdweb?did=1203588021&sid=12&Fmt=2&clientId=1509&RQT=309&VName=PQD.

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John, Julian Daniel. "Acceleration of a Locally Tuned Sine Non Linear Video Enhancement Algorithm on GPGPU." University of Dayton / OhioLINK, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=dayton1324491495.

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8

Gambera, Laura Rezzieri [UNESP]. "Soluções quase automórficas para equações diferenciais abstratas de segunda ordem." Universidade Estadual Paulista (UNESP), 2016. http://hdl.handle.net/11449/137973.

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Submitted by Laura Rezzieri Gambera null (laura.rgambera@gmail.com) on 2016-04-14T18:58:22Z No. of bitstreams: 1 Dissertação de mestrado - Laura R Gambera.pdf: 953384 bytes, checksum: a1e3addb576bbd6acb2de9e0d0d09394 (MD5)<br>Approved for entry into archive by Felipe Augusto Arakaki (arakaki@reitoria.unesp.br) on 2016-04-18T13:27:01Z (GMT) No. of bitstreams: 1 gambera_lr_me_sjrp.pdf: 953384 bytes, checksum: a1e3addb576bbd6acb2de9e0d0d09394 (MD5)<br>Made available in DSpace on 2016-04-18T13:27:01Z (GMT). No. of bitstreams: 1 gambera_lr_me_sjrp.pdf: 953384 bytes, checksum: a1e3addb576bbd6acb
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OLIVEIRA, Carlos André Carneiro de. "Trigonometria: o radiano e as funções seno, cosseno e tangente." Universidade Federal de Campina Grande, 2014. http://dspace.sti.ufcg.edu.br:8080/jspui/handle/riufcg/2169.

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Submitted by Emanuel Varela Cardoso (emanuel.varela@ufcg.edu.br) on 2018-11-12T17:19:37Z No. of bitstreams: 1 CARLOS ANDRÉ CARNEIRO DE OLIVEIRA – DISSERTAÇÃO (PPGMat) 2014.pdf: 2129969 bytes, checksum: 19715b30880dbcde6347a169b0fdbdec (MD5)<br>Made available in DSpace on 2018-11-12T17:19:37Z (GMT). No. of bitstreams: 1 CARLOS ANDRÉ CARNEIRO DE OLIVEIRA – DISSERTAÇÃO (PPGMat) 2014.pdf: 2129969 bytes, checksum: 19715b30880dbcde6347a169b0fdbdec (MD5) Previous issue date: 2014-04<br>Este trabalho apresenta um estudo sobre o ensino da trigonometria no ensino médio, contemplando as recomendações
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Souza, Edílson Paiva de. "As funções seno e cosseno: diagnóstico de dificuldades de aprendizagem através de sequências didáticas com diferentes mídias." Pontifícia Universidade Católica de São Paulo, 2010. https://tede2.pucsp.br/handle/handle/10852.

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Made available in DSpace on 2016-04-27T16:57:04Z (GMT). No. of bitstreams: 1 Edilson Paiva de Souza.pdf: 3867466 bytes, checksum: 6a09b6b64515cc8958d8385427c33097 (MD5) Previous issue date: 2010-12-09<br>Secretaria da Educação do Estado de São Paulo<br>This research aims to diagnose the learning difficulties of high school students about the concepts of the trigonometric functions sine and cosine. The research is based on the principles of Didactic Engineering and on the theory of Semiotic Representation Registers created by Raymond Duval. The didactic sequence presented is oriented by analy
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Martins, Vera Lúcia de Oliveira Ferreira. "Atribuindo significado ao seno e cosseno utilizando o software Cabri-Géomètre." Pontifícia Universidade Católica de São Paulo, 2003. https://tede2.pucsp.br/handle/handle/11234.

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Made available in DSpace on 2016-04-27T16:58:20Z (GMT). No. of bitstreams: 1 vera martins.pdf: 540342 bytes, checksum: cce5bbd0100c27ec63e22cb37816c3f8 (MD5) Previous issue date: 2003-05-22<br>The objective of this work is to introduce the concepts of sine and cosine in a coordinated form, starting from right-angled triangles, passing through the trigonometric cycle and ending with the graphs of the corresponding functions, aiming to provide conditions which would enable students to attribute meaning to these concepts. To this end, a teaching sequence comprised of seven activities was devise
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Loeng, Ratha. "Les fonctions sinus et cosinus dans le secondaire en France et au Cambodge." Thesis, Université de Paris (2019-....), 2019. https://wo.app.u-paris.fr/cgi-bin/WebObjects/TheseWeb.woa/wa/show?t=3972&f=25464.

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Les thèmes « Trigonométrie » et « Fonctions trigonométriques » sont intéressants mais peu traités en didactique des mathématiques, notamment dans le contexte français. Ils sont pourtant présents de longue date dans les curriculums français et cambodgien. Nous nous intéressons à l’apprentissage par les élèves de ces thèmes mathématiques dans l’enseignement secondaire, ainsi qu’aux difficultés de compréhension qui leurs sont liées.Les objets d’étude du secondaire « cosinus et sinus d’un angle géométrique », « cosinus et sinus d’un nombre réel », « cosinus et sinus d’un angle orienté » et « fonct
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Špaček, Milan. "Porovnání možností komprese multimediálních signálů." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2013. http://www.nusl.cz/ntk/nusl-220319.

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Thesis deals with multimedia signal comparison of compression options focused on video and advanced codecs. Specifically it describes the encoding and decoding of video recordings according to the MPEG standard. The theoretical part of the thesis describes characteristic properties of the video signal and justification for the need to use recording and transmission compression. There are also described methods for elimination of encoded video signal redundancy and irrelevance. Further on are discussed ways of measuring the video signal quality. A separate chapter is focused on the characterist
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14

Li, Yong. "Contour Based 3D Biological Image Reconstruction and Partial Retrieval." Digital Archive @ GSU, 2007. http://digitalarchive.gsu.edu/cs_diss/29.

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Image segmentation is one of the most difficult tasks in image processing. Segmentation algorithms are generally based on searching a region where pixels share similar gray level intensity and satisfy a set of defined criteria. However, the segmented region cannot be used directly for partial image retrieval. In this dissertation, a Contour Based Image Structure (CBIS) model is introduced. In this model, images are divided into several objects defined by their bounding contours. The bounding contour structure allows individual object extraction, and partial object matching and retrieval from a
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McCool, Christopher Steven. "Hybrid 2D and 3D face verification." Thesis, Queensland University of Technology, 2007. https://eprints.qut.edu.au/16436/1/Christopher_McCool_Thesis.pdf.

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Face verification is a challenging pattern recognition problem. The face is a biometric that, we as humans, know can be recognised. However, the face is highly deformable and its appearance alters significantly when the pose, illumination or expression changes. These changes in appearance are most notable for texture images, or two-dimensional (2D) data. But the underlying structure of the face, or three dimensional (3D) data, is not changed by pose or illumination variations. Over the past five years methods have been investigated to combine 2D and 3D face data to improve the acc
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McCool, Christopher Steven. "Hybrid 2D and 3D face verification." Queensland University of Technology, 2007. http://eprints.qut.edu.au/16436/.

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Face verification is a challenging pattern recognition problem. The face is a biometric that, we as humans, know can be recognised. However, the face is highly deformable and its appearance alters significantly when the pose, illumination or expression changes. These changes in appearance are most notable for texture images, or two-dimensional (2D) data. But the underlying structure of the face, or three dimensional (3D) data, is not changed by pose or illumination variations. Over the past five years methods have been investigated to combine 2D and 3D face data to improve the accuracy an
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Mencáková, Kristýna. "Reprezentace řešení autonomních lineárních diskrétních systémů a jejich aplikace v teorii řízení." Doctoral thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2020. http://www.nusl.cz/ntk/nusl-433530.

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Disertační práce se zabývá soustavou lineárních diskrétních rovnic se zpožděním a řeší Cauchyovu úlohu s danou počáteční podmínkou užitím zde definovaných maticových funkcí. Odvozený vzorec je pak použit při řešení úlohy relativní řiditelnosti této soustavy. Je dokázáno kritérium řiditelnosti soustavy, nalezena množina všech řídicí funkcí a minimální funkce vyhovující dané úloze.
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Dvořák, Martin. "Výukový video kodek." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2012. http://www.nusl.cz/ntk/nusl-219882.

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The first goal of diploma thesis is to study the basic principles of video signal compression. Introduction to techniques used to reduce irrelevancy and redundancy in the video signal. The second goal is, on the basis of information about compression tools, implement the individual compression tools in the programming environment of Matlab and assemble simple model of the video codec. Diploma thesis contains a description of the three basic blocks, namely - interframe coding, intraframe coding and coding with variable length word - according the standard MPEG-2.
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Žůrek, Tomáš. "Řízení trojfázového sinusového zdroje." Master's thesis, Vysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií, 2014. http://www.nusl.cz/ntk/nusl-220914.

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This thesis deals with control of three phase inverter as three phase sinusoidal voltage source for UPS application. Thesis is split to two parts, teoretical and practical. Teoretical part deals with three phase inverter topology analysis according requirement of neutral line wire and possibilities of generating sinusoidal PWM in depend of topology. There are also analysed properties of contorled system and designed 3 regulation methods with simulations. Second part of thesis deals with realisation of sinusoidal power source with inverter borrowed by Elcom company. To inverter control is used
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LIN, JUN-YU, and 林峻宇. "An Application of Sine Cosine Algorithm-based Fuzzy Possibilistic c-ordered Means Algorithm to Customer Segmentation." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/j7h44r.

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碩士<br>國立臺灣科技大學<br>工業管理系<br>107<br>Due to advances in information technology, data collection is becoming much easier. Clustering is an important technique for exploring data structures and is used in many fields, such as customer segmentation, image recognition, social science and so on. However, in real–world applications, there are a lot of noises or outliers which will influence the clustering performance in the dataset. Besides, the clustering results are susceptible to the initial centroids and algorithm parameters. Therefore, in order to overcome the influence of outliers on clustering r
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Shy, Jung-Shiarn, and 施忠賢. "A Novel Hybrid CORDIC Algorithm with A Variable Scalar Factor for Sine and Cosine Computation." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/07411306284855302355.

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碩士<br>逢甲大學<br>資訊工程學系<br>87<br>The conventional CORDIC technique performs each coordinate rotation digital computer iteration selects the rotation direction by analyzing the results of the previous iteration. A sequence of rotations and predetermining the direction of rotation for each iteration require that a large amount of time be expended in the process of rotation, and increases hardware complexity. In this paper, a new hybrid CORDIC algorithm with a variable scalar factor for sine and cosine computation is proposed. We introduce arctangent radices and show that the computation of the rota
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Mara, Setyo Tri Windras, and Setyo Tri Windras Mara. "SOLVING A MULTI-OBJECTIVE SUSTAINABLE LOCATION-ROUTING PROBLEM USING DISCRETE MULTI-OBJECTIVE SINE-COSINE ALGORITHM." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/59r5es.

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碩士<br>國立臺灣科技大學<br>工業管理系<br>107<br>The location-routing problem (LRP) is an emerging area in logistics research which combines two well-known distribution planning tasks: facility location problem (FLP) and vehicle routing problem (VRP). The main goal of planning a distribution network is to obtain a minimum systemwide cost, which resembles companies’ economical objective. However, in order to achieve a more sustainable future, nowadays companies have to start to give attention to the sustainability issue, such as providing workload balance for their employees and producing less emission from t
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Kuo, Chen-Yu, and 郭承諭. "A Hybrid K-Prototypes Clustering Approach with Improved Sine-Cosine Algorithm for Mixed Data Classification." Thesis, 2019. http://ndltd.ncl.edu.tw/handle/2d9ndk.

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碩士<br>國立臺灣科技大學<br>工業管理系<br>107<br>When dealing with mixed data with numerical and categorical types in a classification problem, supervised learning algorithms do not perform well, while some algorithms show, such as k-prototypes algorithm, show their potential in clustering. Thus, this study aims to develop a novel clustering-based classification algorithm for mixed data classification in order to have both merits of classification and clustering. The proposed algorithm employs a sine-cosine algorithm (SCA) to find attribute weights and initial centroids for a k-prototypes algorithm. The obje
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Shih, Ming-Chou, and 施銘洲. "Analysis and Implementation of High-Throughput Sine and Cosine Generator and 3-D Rotation Using Double Rotation CORDIC Algorithm." Thesis, 2005. http://ndltd.ncl.edu.tw/handle/88010084800820169670.

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碩士<br>中華大學<br>電機工程學系碩士班<br>93<br>The Coordinate Rotation Digital Computer (CORDIC) algorithm is an arithmetic algorithm to evaluate various elementary functions through a series of iterative operations. The double rotation CORDIC is based on the conventional CORDIC algorithm by predicting all the rotation directions from the initial input angle. The proposed architecture has a simple prediction scheme through an efficient determination strategy of rotation direction. The critical delay path is reduced by utilizing the carry-save adder (CSA). Thus, the computation complexity of the proposed arc
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shiu, Chih-Wei, and 許志瑋. "Implementation of CORDIC-Base Sine/Cosine Waveform Generator." Thesis, 2007. http://ndltd.ncl.edu.tw/handle/31383632863845901282.

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碩士<br>國立雲林科技大學<br>電機工程系碩士班<br>95<br>In this thesis, we adopt modified-collapsed CORDIC algorithm to generate sine and cosine waveforms. This algorithm is in partitioned-hybrid CORDIC structure. In such a structure of N-bit precision, the computations in the first N/3 stages are realized by the look-up table approach. For those after the first N/3 stages, the merged CORDIC algorithm will be adopted to do matrix matching in which the terms that are small enough will be omitted, and the amount of computations will be reduced in turn. In addition, we modify the domain circuit in the whole archi
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Chang, Chun-Hao, and 張峻豪. "Random Discrete Fractional Cosine and Sine Transforms with Applications." Thesis, 2015. http://ndltd.ncl.edu.tw/handle/78531034712466320492.

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碩士<br>中原大學<br>通訊工程碩士學位學程<br>103<br>In this thesis, we propose new transforms related to Random Discrete Fractional Cosine Transform and Random Discrete Fractional Sine Transform.They include the Real Random Discrete Fractional Cosine Transform and Real Random Discrete Fractional Sine Transform of types I、IV、V and VIII,which are real transforms of RDFRCT and RDFRST.We also propose the Random Generalized Discrete Fractional Fourier Transform and Random Generalized Discrete Fractional Hartley Transform matrices with reduced computations.They have the properties of fast algorithms,which reduce ha
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Wei, Qing Huang, and 魏清煌. "A study on the implementations of discrete sine and cosine transforms." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/63549551112012669131.

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Hwang, Jaw Shing, and 黃照興. "A Direct Digital Frequency Synthesizer with Sine/Cosine Output in 0.6um 1P3M." Thesis, 1998. http://ndltd.ncl.edu.tw/handle/41057020308611913184.

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Yang, Kuen Shiuh, and 楊昆緒. "A New Method of Implementation of VLSI CORDIC for Sine and Cosine Computation." Thesis, 1994. http://ndltd.ncl.edu.tw/handle/64958973870995582635.

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碩士<br>逢甲大學<br>資訊工程研究所<br>82<br>CORDIC(COordinate Rotation DIgital Computer) is early proposed in 1959 by J. E. Volder. Although it has not been new, many advantages can still be used for the basic fundamental computation. The elementary functions such as sine and cosine computation are easily obtained by adding, subtracting, shifting operations. Recently, many distinguished researchers have their achieved works about CORDIC. Encouraged by their works, a new algorithm is developed here for c
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Liu, Chia Hwa, and 劉佳樺. "Design and Analyze the Interpolation of Sine/Cosine Signal with Phase-Shift Circuit." Thesis, 2003. http://ndltd.ncl.edu.tw/handle/25941238664216331240.

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碩士<br>國立交通大學<br>電子工程系<br>91<br>The laser graphic generator and stepper are important in Micro-Electro-Mechanical System (MEMS) and semiconductor. Inside these generators and steppers, opitcal incremental encoders are wildly used to measure angles or distances. The resolution of opitcal incremental encoder is limited by manufacture process. The higher the resolution, the more it costs. Interpolating encoder output sine/cosine signals can upgrade the resolution forty times and achieves to 0.5 micrometer. The analog/digital flash structure was chosen because of its faster and not too complex. The
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Lin, Hong-Ren, and 林泓任. "THE INTRINSIC STUDIES OF DISCRETE COSINE AND SINE TRANSFORM AND THEIR APPLICATIONS ON DIGITAL INTERPOLATION." Thesis, 2013. http://ndltd.ncl.edu.tw/handle/96508578209503785158.

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碩士<br>大同大學<br>通訊工程研究所<br>101<br>Interpolation is the process of constructing new data points based on the range of a discrete set of known data. Traditional polynomial interpolation employs the complexity of computing to enhance accuracy in time domain. Traditional interpolation also utilizes zero-padding after discrete fourier transform (DFT) but this method may cause edge effect to distort estimated results. Discrete Cosine Transformation (DCT) and Discrete Sine Transformation (DST) have various types of definitions which always make users confused with number of data points or data interval
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Lee, Kai-Li, and 李開禮. "Fast Structure and Computation Reduction Algorithm for Discrete Cosine Transform." Thesis, 1999. http://ndltd.ncl.edu.tw/handle/88687399175225510382.

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碩士<br>國立成功大學<br>電機工程學系<br>87<br>In this thesis, structural fast discrete cosine transform algorithm (SFDCT) and computation reduction algorithm for discrete cosine transform are developed. By applying decimation-in-frequency and decimation-in-time concepts, we first develop the fast SFDCT structure in use of Kronecker product and matrix expressions to construct parallel and regular modules. The regularity and modularity make the analysis of computational complexity easily in fast algorithm design. The heavily and complex computation can be merged into some regular and standard operation units,
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林佑城. "A Fast Recursive Algorithm For computing the Discrete sine Transform." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/96571008701786920907.

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碩士<br>明新科技大學<br>電機工程研究所<br>95<br>The discrete sine transform(DST) is widely applied in various fields , including image data compression and digital filtering, image reconstraction, and image coding . This paper presents a recursive algorithm for DST with a structure that allows the generation of the next higher order DST from two identical lower order DST’s. As a result, the method for implementing this recursive DST requires fewer multipliers and adders than other DST algorithms.
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戴經哲. "An Image Compression Method Using Modified Fractal Coding and Discrete Cosine Transformation Algorithm." Thesis, 2004. http://ndltd.ncl.edu.tw/handle/86645958746676435109.

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碩士<br>國立中正大學<br>電機工程研究所<br>92<br>Fractal coding is an effective method to eliminate image redundancy. In the conventional fractal coding system, the image is partitioned into two kinds of different blocks, the non-overlapping range blocks, and the overlapping domain blocks. Every range block can find a domain block which when being contractive affine transformed is most similar to the specific range block. The parameters of transformations are recorded as the compressed data of the original range blocks. In the decoding scheme, each compressed data of the range blocks is made the same transfor
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Chen, Yong Sen, and 陳永森. "The implementation of two-dimensional 4X4 discrete cosine transform using a cordic algorithm." Thesis, 1995. http://ndltd.ncl.edu.tw/handle/32298385597571839884.

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Bai, Bor-Long, and 白柏龍. "A New Efficient Two-Dimensional Inverse Discrete Cosine Transform Algorithm For HDTV Receivers." Thesis, 1993. http://ndltd.ncl.edu.tw/handle/15203471933661857823.

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Panda, Satyasen. "Performance Analysis and Design of a Discreet Cosine Transform processor Using CORDIC algorithm." Thesis, 2010. http://ethesis.nitrkl.ac.in/1979/1/satya_final.pdf.

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CORDIC is an acronym for COrdinate Rotation Digital Computer. It is a class of shift adds algorithms for rotating vectors in a plane, which is usually used for the calculation of trigonometric functions, multiplication, division and conversion between binary and mixed radix number systems of DSP applications, such as Discreet cosine Transform(DCT). The Jack E. Volder's CORDIC algorithm is derived from the general equations for vector rotation. The CORDIC algorithm has become a widely used approach to elementary function evaluation when the silicon area is a primary constraint. The implementati
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Hsu, Yu-Hsin, and 徐友信. "A New Fast Algorithm for Computing the Forward and Inverse Modified Discrete Cosine Transforms." Thesis, 2001. http://ndltd.ncl.edu.tw/handle/82446174628541698698.

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碩士<br>國立交通大學<br>電機與控制工程系<br>89<br>In this thesis, we present two new algorithms for computing the inverse modified discrete cosine transform(IMDCT) such that the computation complexity is equal to but the numerical performance is better than existing fast algorithms. To compute N-point IMDCT, the first algorithm is realized in the following sequence: multiplication of the N/2 input data by an N/2-value cosine sequence, N/2-point fast DCT, and a simple recursive addition. The second algorithm, closely reversing the computation procedures of the first algorithm, is realized in order by simple re
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賴益祥. "A multiple-functional-unit data path chip for a fast discrete cosine transform algorithm." Thesis, 1992. http://ndltd.ncl.edu.tw/handle/13997585904008567698.

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Wang, Hsin-Hsiung, and 王信雄. "Development of an Effective Discrete Cosine Transform Algorithm for Digital Watermarking in Portable Devices." Thesis, 2006. http://ndltd.ncl.edu.tw/handle/69749850107321536688.

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碩士<br>國立成功大學<br>航空太空工程學系碩博士班<br>94<br>Image information is usually used in real-time transmission on internet. Because image information is easily obtained and quick dissemination from internet, the question of pirated editions and fakes are more and more serious. It is therefore very important to establish a digital watermarking system. Many watermarking systems are designed for desktops but few for portable devices. A robust, secure, and convenient digital watermarking system implemented on the portable device is proposed in this thesis. Implementation on portable devices shows that one
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Chang, Wei-chun, and 張惟淳. "The study of promoting the abilities of solving problems about law of sine and law of cosine in twelve grade student - using triangle congruence strategies." Thesis, 2012. http://ndltd.ncl.edu.tw/handle/62760863741738027681.

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碩士<br>國立臺南大學<br>應用數學研究所碩士班<br>100<br>This study is focus on reviewing of lessons. Under learning and teaching in the frame of metacognition, we can encourage students to relational understanding, discovering the relationships of laws sine, law of cosine and congruence of triangles. And then, we trained strategies of problem solving of students, to improve their ability as they faced to several kinds of problems. Self-regulation, the theory of a master of psychology, Piaget (1964, 1971), told us that human learns in two ways, assimilation and accommodation. Learning is a procedure that assi
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Hsu, Shin-Yin, and 徐士殷. "Applying Block Discrete Cosine Transform and Grey Clustering Algorithm to Automated Visual Defect Inspection of Optical Components." Thesis, 2008. http://ndltd.ncl.edu.tw/handle/89067476900068854227.

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碩士<br>朝陽科技大學<br>工業工程與管理系碩士班<br>96<br>LED lenses, one kind of optical components, are popular and widely used in digital cameras, cell phones, and CD-ROMs. Nevertheless, LED lens with a curved surface is more difficult to detect the surface defects than electronic components with current computer vision systems. The purpose of this research is to apply the block discrete cosine transform (BDCT), Hotelling T2 statistic, and grey clustering method to detect visual defects of LED lenses. A spatial domain image is converted to DCT domain and some representative energy features of each DCT block are
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Suresh, K. "MDCT Domain Enhancements For Audio Processing." Thesis, 2010. https://etd.iisc.ac.in/handle/2005/1184.

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Modified discrete cosine transform (MDCT) derived from DCT IV has emerged as the most suitable choice for transform domain audio coding applications due to its time domain alias cancellation property and de-correlation capability. In the present research work, we focus on MDCT domain analysis of audio signals for compression and other applications. We have derived algorithms for linear filtering in DCT IV and DST IV domains for symmetric and non-symmetric filter impulse responses. These results are also extended to MDCT and MDST domains which have the special property of time domain alias canc
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Suresh, K. "MDCT Domain Enhancements For Audio Processing." Thesis, 2010. http://etd.iisc.ernet.in/handle/2005/1184.

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Modified discrete cosine transform (MDCT) derived from DCT IV has emerged as the most suitable choice for transform domain audio coding applications due to its time domain alias cancellation property and de-correlation capability. In the present research work, we focus on MDCT domain analysis of audio signals for compression and other applications. We have derived algorithms for linear filtering in DCT IV and DST IV domains for symmetric and non-symmetric filter impulse responses. These results are also extended to MDCT and MDST domains which have the special property of time domain alias canc
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Ahmadi, Tafti Mohamad. "Experimental High Cycle Fatigue Testing and Shape Optimization of Turbine Blades." Thesis, 2013. http://hdl.handle.net/1807/42659.

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An accelerated high cycle fatigue testing approach is presented to determine the fatigue endurance limit of materials at high frequencies. Base excitation of a tapered plaque driven into a high frequency resonance mode allows the test to be completed in a significantly shorter time. This high cycle fatigue testing is performed using the tracked sine resonance search and dwell strategy. The controller monitors the structural health during the test. Any change in the dynamic response indicates crack initiation in the material. In addition, a shape optimization finite element model is conducted f
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Jiang, Jianmin, and G. C. Feng. "The spatial relationship of DCT coefficients between a block and its sub-blocks." 2002. http://hdl.handle.net/10454/3446.

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No<br>At present, almost all digital images are stored and transferred in their compressed format in which discrete cosine transform (DCT)-based compression remains one of the most important data compression techniques due to the efforts from JPEG. In order to save the computation and memory cost, it is desirable to have image processing operations such as feature extraction, image indexing, and pattern classifications implemented directly in the DCT domain. To this end, we present in this paper a generalized analysis of spatial relationships between the DCTs of any block and its sub-blocks. T
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Zenkl, David. "Kosinová a sinová věta na střední škole." Master's thesis, 2016. http://www.nusl.cz/ntk/nusl-344975.

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This thesis is concerned with a constructivist approach to the introduction of the cosine and sine theorems at the secondary school. The aim was to develop recommendations for teaching which are based on the idea of motivating teaching cosine and sine theorems. This approach is based on available literature and builds on experience from my own teaching of this topic. By motivating teaching, I mean an approach that is consistent with the principles of constructivism and emphasizes pupils' active learning. Current textbooks for secondary schools were analyzed from a mathematical and didactic poi
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Chang, Chun. "A Spatially-filtered Finite-difference Time-domain Method with Controllable Stability Beyond the Courant Limit." Thesis, 2012. http://hdl.handle.net/1807/32460.

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This thesis introduces spatial filtering, which is a technique to extend the time step size beyond the conventional stability limit for the Finite-Difference Time-Domain (FDTD) method, at the expense of transforming field nodes between the spatial domain and the discrete spatial-frequency domain and removing undesired spatial-frequency components at every FDTD update cycle. The spatially-filtered FDTD method is demonstrated to be almost as accurate as and more efficient than the conventional FDTD method via theories and numerical examples. Then, this thesis combines spatial filtering and an ex
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