Home

F1-Transform Matlab Viewer

1. F component File Edit View Insert Tools Desktop Window Help Ogul sS oA la Created figure can be processed using typical Matlab approaches saved to file changed using properties etc Other information According to continuous research in this area the newer version of this or similar software may be available For any further information or comments contact IRAFM staff The research has been supported by the European Regional Development Fund in the IT4Innovations Centre of Excelence project CZ 1 05 1 1 00 02 0070 and SGS18 PrF 2014 Research of the F transform method and applications in image processing based on soft computing project Contact Institute for Research and Applications of Fuzzy Modeling University of Ostrava in Ostrava 30 dubna 22 701 03 Ostrava 1 Czech Republic http irafm osu cz
2. F1 Transform Matlab Viewer User Manual Marek Vajgl Petra Hod kov marek vajg osu cz petra hodakova 2 0su cz Institute for Research and Applications of Fuzzy Modelling http irafm osu cz University of Ostrava 30 dubna 22 701 03 Ostrava Czech Republic Table of content MOda O M 2 Installation and startup requirements cccccessccccsssececceseccccesececeuseceeceeecceseesececsunecessensceeseeecessuncetsenes 2 Star tub re uir eris MES eesdcutes uei iat didtuPe i aquae ondes iatis tidcultixetelass ed eu dubai ente iud used ti du iste ubere evens 2 POS VS Lal dC aosees asserta idi tunt imu E IM ai UEM MM dM DEUM MINES 2 Execution of the installed application ccccsccccssecccceseccceesccecaesececseneceeeeeecceeeesecessenecessegeceesaneeeetan 2 ADPIC ONU IE ie dee tes mci psti io add se nacoiaanacosessice sais IM Mese pM Mid LM NEUE 3 Preparation Of input ei PRO EE Tc 3 Execution and main window description cccccssscccesscccesececenecceenecceenceceuececeneceeeeessecessuecessecenenses 3 EXGamiple I dE oct uias PAE A E I ubisiiupMS M nonce wie senacuied aD MIN ENE EE A CMM EDMUND UEM PL 5 Step 1 input data prepaFratliODisssetasosdutigsutes apes EEEa 5 Step 2 loading file into the application cse nennen 7 Step 3 printing required figures A ccccccecccceescccusscccnsccenescescseeueseneuesseeuesseeuceseeeseseueseneue
3. a 0 235236 0 2019 0 5000 0 4619 2 5930 O 0 2870 0 5303 I 0 7500 0 0929 0 5303 O Os oa Os TOTI 0 90239 10000 0 9259 C270 O 0 4784 Depu 1 1549 1 2900 gee U 0029 O Usad Le Jo Leo O t5000 l4 3059 140607 O 0 00697 1 2334 1 0109 1 7500 1 6109 1 2374 O 0 7654 1 4142 1 8478 2 0000 1 8478 14 4142 O 0 0610 roc he 207107 2 2500 20 TOT Leo O10 O oP A La Od 29097 29000 2309 Le 7679 O 1 440574 1 9445 ZA UT 2 1990 2 99407 1 9445 O Fetoa PAN IMS 24 FLO 260000 2a d TLO 2 95 9 O L 2437 FN S NE 9 D 020 42000 300146 ed O 14 23 98 2541509 Du D 352000 O20 24149 O Ledao SEN 3 4645 Ju 1900 S445 Z0 O Leo 2 0204 0 0959 4 0000 Dao 2 8284 O L 0204 30052 Oe 2 Oo 1 4900 Ore 200 du 02 O Lead 241620 A Any 4 5000 A PESE Jeto O Le Ohi Jsa apg 4 3884 4 1500 4 3884 dao O Lip golpe 4 6194 94 0000 4 0194 S SEES Columns 8 through 14 columns 15 through 21 Columns 22 through 25 4 3884 Seo is 9E T7 0 0000 4 0194 uc e ilies ale 0 0000 Alternatively we can show the resulting function using command suri c Resulting figure File Edit View Insert Tools Desktop Window Help Heese ASCH 42e4 a 00 an Now we need to store the variable into the file We can store only the variable c using command save myMat c This command will save variable c into the file myMat mat For the further operation localize the full path of the myMat mat file You will need something like C myMat mat This value will be referred a
4. ed by double click over the install package file F1 Transform Matlab Viewer mlappinstall When the installation process is started Matlab environment is executed asking for confirmation of the installation After the confirmation the application is installed and finally the F1 Transform Matlab Viewer icon is shown at the main ribbon Apps of the Matlab Environment amp B 2 o amp Get More Install Package Fi Transform image Viewer Apps App App Matlab Viewer FILE mi Pf Execution of the installed application Application is executed by doubleclick over the F1 Transform Matlab Viewer icon in Apps ribbon in Matlab environment Application usage Preparation of input data For an input of the application the prepared data in the file in mat format are used input is save in some variable in this file When application is started you need to specify the mat file and the variable name to continue The variable will contain two dimensional array of values of double data type First dimension of the array represents first dimension of the function or X coordinate second dimension represents second dimension of the function or Y coordinate Exact value for x y coordinate is stored in the input array at this coordinate So at 1 1 1 2 1 nl 2 1 2 2 m n should be values of f 1 1 f 1 2 Ln f 2 1 f 2 2 f m n Simple example of the stored data in the variable d in the matrix 4x6
5. indow Help UGWMes k ASDA a a 0H an and after rotation File Edit View Insert Tools Desktop Window Help Oiuiuse 5 Wes omu uim m We can also print filtered F components using Draw F1 transform all components filtered button with the result File Edit View Insert Tools Desktop Window Help CQ Be hk 909 Wwx uu Dim Here every second component is drawn Therefore the components creates visually one big separated plate after rotation File Edit View Insert Tools Desktop Window Help Heael s A 0DH22 2 00 an0 Step 3 printing required figures B Now we would like to print only one selected component at coordinate 3 5 in the original function 1 Ensure you have option Draw to new figure checked 2 Set Highlighted component X to 3 and Highlighted component Y to 5 3 Press Draw original function The result will be File Edit View Insert Tools Desktop Window UGWe k ANRTVOeaA a 4 Now let s add F component Uncheck Draw to new figure 5 After that press Draw F1 Transform selected component You will obtain after rotation filled area inside the original figure Filled area represents selected component File Edit View Insert Tools Desktop Window Help HSeas s A oDe 4 2 08 an nna UTR vx JL WE fi ify Pcs I l l f Hi hes 6 Finally we will add F component Press Draw FO transform selected component You will obtain dot representing scalar value of
6. on draws whole original function as a graph Draw FO transform all components draw all F components scalar values as a dots in the graph Draw F1 transform all components draw all F components as a set of multiple areas in the graph Draw F1 transform all components filtered draw every second F component as a set of multiple areas in the graph Example of usage This simple example will show usage of the application in step by step tutorial Step 1 input data preparation At the beginning we need some function we would like to represent as an input We can create two vectors of two variables The first command for Matlab will be a sin 0 pi 8 3 pi We will obtain vector a Columns 1 through 7 O egga Qer Ud 0 9239 t0000 02 9257 Oe TD Columns 8 through 14 Uo 0027 0 0000 20 0927 e OY gg ee oS 1I 0000 0 9239 Columns L5 through 21 U JOL 90 2927 0 0000 Veo Ora egal 09209 EN 010 08 Columns 22 through 25 Uo ae eo Orme cong 0 3827 0 0000 Second command for Matlab will be D 020 2525 The result will be b 20 s9000 lt T300 0000 Zo s9000 s 7300 0000 s2300 zo et O00 0000 220 29000 s T300 0000 s2000 5000 gt 1900 0000 J A A A A GO CO CO LO BO NN NK FF FF Oo c The whole function will be obtained using command C sm ID 9 dg The result trimmed C Columns 1 through 7 O O O O O O O O Duo D 769 Uu cub 022500 Osaa Js 769 O Gerl
7. refore faster calculation Lower value will cause higher total number of components what means that approximation of the original function will be more precise Allowed values are odd values greater than three o Highlighted component X for specific operations see following explanation of buttons this value defines which x component is selected to be visualized o Highlighted component Y for specific operations see following explanation of buttons this value defines which y component is selected to be visualized e Draw to new figure if checked the drawing operations draw result in the new figure new image If unchecked the drawing operations draw result in the last used figure Using this feature you can draw multiple items in the same figure to join multiple visualisations The remaining buttons on the form represents operations how the data can be evaluated and viewed Buttons on the left side are used to work with selected component only see highlighted component options above buttons on the right side work displays all data Draw component area as original function draws only such area of the original function which is covered by basis functions of the selected component Draw FO transform selected component draws only selected F component scalar value as dot in the graph Draw F1 transform selected component draws only selected F component vector as square area in the graph Draw original functi
8. s full file name Step 2 loading file into the application At the beginning we need to start the application using command main The main window of the application is shown Enter the full file name into the first text field mat file with data Enter the name of the variable c into the second text field Name of variable in mat file Adjust number of components using Size of component field set to 5 Press the Load button A Em crm wath cab C Users Marek Documents MATLAB F1T myMat mat Name of variable in mat file E Settings Size of component Highlighted component X Highlighted component Y Draw to new figure Draw component area of original function Draw original function Draw FO transform selected component Draw FO transform all components Draw Fi transform selected component Draw Fi transform all components filtered Draw Fi transform all components App ready If everything loading is done successfully the last line of the window will change from Static Text to Loaded and ready Otherwise some error will be shown Step 3 printing required figures A If you would like to print the original function just press Draw original function button The result will be File Edit View Insert Tools Desktop Window Help UGads k SARV9O0 a0 Dm If you would like to print all F components press Draw F1 transform all components button The result File Edit View Insert Tools Desktop W
9. seneuess 8 Step 3 printing required figures B sssoo spite canda eS MI Cla ipd ad RC YER ER v rPER ERES eo Fede a Nocera pA SM Qu idR SIE 11 Introduction The aim of the application is to demonstrate behavior of F transform in in the field of discrete 2D data Application is based on the F transform what is fuzzy transformation of first degree introduced during research at the Institute of Research and Application of Fuzzy Modeling at University of Ostrava This transformation is integral transform mapping input data space into the space of components which can be used as an approximation of the values of the original function in following processing Finally when inverse F transform is applied over the components the reconstruction of the original data is obtained Created application takes a 2D array of values as an input The input is visualized using graphs figures in the Matlab environment One component or all components can be selected to be shown Installation and startup requirements Startup requirements Application was created and tested in the Matlab R2013 environment with mage Processing Toolbox but it does not use any specific or special functions Therefore it should be executed on the previous versions of Matlab environment However tested minimal required environment is e Matlab 2013b e Image Processing Toolbox http www mathworks com products image refresh true Postup instalace Installation is start
10. x1 d 1 0000 20009 4 5000 6 0000 J 99U00 20000 L2 2900 Za UE 4 0500 5 4000 Oe 1000 8 1000 122000 2 4000 3 6000 4 8000 620000 way ls0500 2 LOGU Comins 60 42000 Sed 6 5000 Data are evaluated only using integers over X and Y axis therefore all data have to had the same scale at both axes with step 1 Execution and main window description Application is executed by command main After execution the main window of the application is shown GELT TUER lt enter name of file gt Name of variable in mat file lt enter name of file gt Settings Size of component Highlighted component X Highlighted component Y Draw to new figure Draw component area of original function Draw original function Draw FO transform selected component Draw FO transform all components Draw Fi transform selected component Draw Fi1 transform all components filtered Draw Fi transform all components App ready The main form of the application offers a following user controls to interact e mat file with data name of the file which contains the variable with input data This file will be loaded when Load button is pressed e Name of variable in mat file name of the variable containing input data in the input file in correct format This variable is analysed when Load button is pressed e Settings o Size of component number of points covered by one component Higher value produces lower total number of components and the

F1-Transform Matlab Viewer

Contents

Download Pdf Manuals

Related Search

Related Contents