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  • fit a ellipse in Python given a set of points xi=(xi,yi)

    - by Gianni
    I am computing a series of index from a 2D points (x,y). One index is the ratio between minor and major axis. To fit the ellipse i am using the following post when i run these function the final results looks strange because the center and the axis length are not in scale with the 2D points center = [ 560415.53298363+0.j 6368878.84576771+0.j] angle of rotation = (-0.0528033467597-5.55111512313e-17j) axes = [0.00000000-557.21553487j 6817.76933256 +0.j] thanks in advance for help import numpy as np from numpy.linalg import eig, inv def fitEllipse(x,y): x = x[:,np.newaxis] y = y[:,np.newaxis] D = np.hstack((x*x, x*y, y*y, x, y, np.ones_like(x))) S = np.dot(D.T,D) C = np.zeros([6,6]) C[0,2] = C[2,0] = 2; C[1,1] = -1 E, V = eig(np.dot(inv(S), C)) n = np.argmax(np.abs(E)) a = V[:,n] return a def ellipse_center(a): b,c,d,f,g,a = a[1]/2, a[2], a[3]/2, a[4]/2, a[5], a[0] num = b*b-a*c x0=(c*d-b*f)/num y0=(a*f-b*d)/num return np.array([x0,y0]) def ellipse_angle_of_rotation( a ): b,c,d,f,g,a = a[1]/2, a[2], a[3]/2, a[4]/2, a[5], a[0] return 0.5*np.arctan(2*b/(a-c)) def ellipse_axis_length( a ): b,c,d,f,g,a = a[1]/2, a[2], a[3]/2, a[4]/2, a[5], a[0] up = 2*(a*f*f+c*d*d+g*b*b-2*b*d*f-a*c*g) down1=(b*b-a*c)*( (c-a)*np.sqrt(1+4*b*b/((a-c)*(a-c)))-(c+a)) down2=(b*b-a*c)*( (a-c)*np.sqrt(1+4*b*b/((a-c)*(a-c)))-(c+a)) res1=np.sqrt(up/down1) res2=np.sqrt(up/down2) return np.array([res1, res2]) if __name__ == '__main__': points = [(560036.4495758876, 6362071.890493258), (560036.4495758876, 6362070.890493258), (560036.9495758876, 6362070.890493258), (560036.9495758876, 6362070.390493258), (560037.4495758876, 6362070.390493258), (560037.4495758876, 6362064.890493258), (560036.4495758876, 6362064.890493258), (560036.4495758876, 6362063.390493258), (560035.4495758876, 6362063.390493258), (560035.4495758876, 6362062.390493258), (560034.9495758876, 6362062.390493258), (560034.9495758876, 6362061.390493258), (560032.9495758876, 6362061.390493258), (560032.9495758876, 6362061.890493258), (560030.4495758876, 6362061.890493258), (560030.4495758876, 6362061.390493258), (560029.9495758876, 6362061.390493258), (560029.9495758876, 6362060.390493258), (560029.4495758876, 6362060.390493258), (560029.4495758876, 6362059.890493258), (560028.9495758876, 6362059.890493258), (560028.9495758876, 6362059.390493258), (560028.4495758876, 6362059.390493258), (560028.4495758876, 6362058.890493258), (560027.4495758876, 6362058.890493258), (560027.4495758876, 6362058.390493258), (560026.9495758876, 6362058.390493258), (560026.9495758876, 6362057.890493258), (560025.4495758876, 6362057.890493258), (560025.4495758876, 6362057.390493258), (560023.4495758876, 6362057.390493258), (560023.4495758876, 6362060.390493258), (560023.9495758876, 6362060.390493258), (560023.9495758876, 6362061.890493258), (560024.4495758876, 6362061.890493258), (560024.4495758876, 6362063.390493258), (560024.9495758876, 6362063.390493258), (560024.9495758876, 6362064.390493258), (560025.4495758876, 6362064.390493258), (560025.4495758876, 6362065.390493258), (560025.9495758876, 6362065.390493258), (560025.9495758876, 6362065.890493258), (560026.4495758876, 6362065.890493258), (560026.4495758876, 6362066.890493258), (560026.9495758876, 6362066.890493258), (560026.9495758876, 6362068.390493258), (560027.4495758876, 6362068.390493258), (560027.4495758876, 6362068.890493258), (560027.9495758876, 6362068.890493258), (560027.9495758876, 6362069.390493258), (560028.4495758876, 6362069.390493258), (560028.4495758876, 6362069.890493258), (560033.4495758876, 6362069.890493258), (560033.4495758876, 6362070.390493258), (560033.9495758876, 6362070.390493258), (560033.9495758876, 6362070.890493258), (560034.4495758876, 6362070.890493258), (560034.4495758876, 6362071.390493258), (560034.9495758876, 6362071.390493258), (560034.9495758876, 6362071.890493258), (560036.4495758876, 6362071.890493258)] a_points = np.array(points) x = a_points[:, 0] y = a_points[:, 1] from pylab import * plot(x,y) show() a = fitEllipse(x,y) center = ellipse_center(a) phi = ellipse_angle_of_rotation(a) axes = ellipse_axis_length(a) print "center = ", center print "angle of rotation = ", phi print "axes = ", axes from pylab import * plot(x,y) plot(center[0:1],center[1:], color = 'red') show() each vertex is a xi,y,i point plot of 2D point and center of fit ellipse

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  • c#: Clean way to fit a collection into a multidimensional array?

    - by Rosarch
    I have an ICollection<MapNode>. Each MapNode has a Position attribute, which is a Point. I want to sort these points first by Y value, then by X value, and put them in a multidimensional array (MapNode[,]). The collection would look something like this: (30, 20) (20, 20) (20, 30) (30, 10) (30, 30) (20, 10) And the final product: (20, 10) (20, 20) (20, 30) (30, 10) (30, 20) (30, 30) Here is the code I have come up with to do it. Is this hideously unreadable? I feel like it's more hacky than it needs to be. private Map createWorldPathNodes() { ICollection<MapNode> points = new HashSet<MapNode>(); Rectangle worldBounds = WorldQueryUtils.WorldBounds(); for (float x = worldBounds.Left; x < worldBounds.Right; x += PATH_NODE_CHUNK_SIZE) { for (float y = worldBounds.Y; y > worldBounds.Height; y -= PATH_NODE_CHUNK_SIZE) { // default is that everywhere is navigable; // a different function is responsible for determining the real value points.Add(new MapNode(true, new Point((int)x, (int)y))); } } int distinctXValues = points.Select(node => node.Position.X).Distinct().Count(); int distinctYValues = points.Select(node => node.Position.Y).Distinct().Count(); IList<MapNode[]> mapNodeRowsToAdd = new List<MapNode[]>(); while (points.Count > 0) // every iteration will take a row out of points { // get all the nodes with the greatest Y value currently in the collection int currentMaxY = points.Select(node => node.Position.Y).Max(); ICollection<MapNode> ythRow = points.Where(node => node.Position.Y == currentMaxY).ToList(); // remove these nodes from the pool we're picking from points = points.Where(node => ! ythRow.Contains(node)).ToList(); // ToList() is just so it is still a collection // put the nodes with max y value in the array, sorting by X value mapNodeRowsToAdd.Add(ythRow.OrderByDescending(node => node.Position.X).ToArray()); } MapNode[,] mapNodes = new MapNode[distinctXValues, distinctYValues]; int xValuesAdded = 0; int yValuesAdded = 0; foreach (MapNode[] mapNodeRow in mapNodeRowsToAdd) { xValuesAdded = 0; foreach (MapNode node in mapNodeRow) { // [y, x] may seem backwards, but mapNodes[y] == the yth row mapNodes[yValuesAdded, xValuesAdded] = node; xValuesAdded++; } yValuesAdded++; } return pathNodes; } The above function seems to work pretty well, but it hasn't been subjected to bulletproof testing yet.

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  • IBM Informix using spatial datablade

    - by changed
    I need to use IBM Informix for my project where I have point coordinates and I need to find which points are present in query rectangular region. Informix has spatial datablade module with ST_POINT and ST_POLYGON data objects. I know how to create, insert and create r-tree index on tables with such objects. But problem is how to do a SELECT statement, something which list all the points in a particular rectangular region.

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  • Force import module from Python standard library instead of PYTHONPATH default

    - by jrdioko
    I have a custom module in one of the directories in my PYTHONPATH with the same name as one of the standard library modules, so that when I import module_name, that module gets loaded. If I want to use the original standard library module, is there any way to force Python to import from the standard library rather than from the PYTHONPATH directory, short of renaming the custom module and changing every reference to point to the new name?

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  • Regex for multi-line HTML comments (preg_match_all)

    - by Ben
    I have an html document with multiple commented-out PHP arrays, e.g.: <!-- Array ( [key] => 0 ) --> Using PHP, I need to somehow parse the HTML for only these comments (there are other comments that will need to be ignored) and extract the contents. I've been trying to use preg_match_all but my regex skills aren't up to much. Could anyone point me in the right direction? Any help is much appreciated!

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  • Which third party tools/library are available for NoSQL databases?

    - by Horcrux7
    I know that NoSQL databases are very new. I am also new in this point. But exist already tools/libraries to make the life easer like for SQL databases? I think on tools for managing, maintaining, viewing or reporting of the data. There can also be libraries for easer working with the database or an abstract database layer to change the database later. I would prefer Java libraries but also other are interesting.

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  • Custom pyGTK button

    - by Wallter
    I would like to create a button that I can control the look of the button using pyGTK. How would I go about doing this? I would like to be able to point to a new image for each 'state' the button is in (i.e. Pressed, mouse over, normal...etc.)

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  • Algorithm for Negating Sentences

    - by Kevin Dolan
    I was wondering if anyone was familiar with any attempts at algorithmic sentence negation. For example, given a sentence like "This book is good" provide any number of alternative sentences meaning the opposite like "This book is not good" or even "This book is bad". Obviously, accomplishing this with a high degree of accuracy would probably be beyond the scope of current NLP, but I'm sure there has been some work on the subject. If anybody knows of any work, care to point me to some papers?

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  • Getting my string value from my form into my class( not another form)

    - by jovany
    Hello all, I have a question regarding the some data which is being transfered from one form to my class. It's not going quite the way i'd like to , so I figured maybe there is someone who could help me. This is my code in my class Public Class DrawableTextBox Inherits Drawable Dim i_testString As Integer Private s_InsertLabel As String Private drawFont As Font Public Sub New(ByVal fore_color As Color, ByVal fill_color As Color, Optional ByVal line_width As Integer = 0, Optional ByVal new_x1 As Integer = 0, Optional ByVal new_y1 As Integer = 0, Optional ByVal new_x2 As Integer = 1, Optional ByVal new_y2 As Integer = 1) MyBase.New(fore_color, fill_color, line_width) X1 = new_x1 Y1 = new_y1 X2 = new_x2 Y2 = new_y2 Trace.WriteLine(s_InsertLabel) End Sub Friend WriteOnly Property _textBox() As String Set(ByVal Value As String) s_InsertLabel = Value Trace.WriteLine(s_InsertLabel) End Set End Property ' Draw the object on this Graphics surface. Public Overrides Sub Draw(ByVal gr As System.Drawing.Graphics) ' Make a Rectangle representing this rectangle. Dim rect As Rectangle = GetBounds() ' Fill the rectangle as usual. Dim fill_brush As New SolidBrush(FillColor) gr.FillRectangle(fill_brush, rect) fill_brush.Dispose() ' See if we're selected. If IsSelected Then ' Draw the rectangle highlighted. Dim highlight_pen As New Pen(Color.Yellow, LineWidth) gr.DrawRectangle(highlight_pen, rect) highlight_pen.Dispose() ' Draw grab handles. Trace.WriteLine("drawing the lines for my textbox") DrawGrabHandle(gr, X1, Y1) DrawGrabHandle(gr, X1, Y2) DrawGrabHandle(gr, X2, Y2) DrawGrabHandle(gr, X2, Y1) Else 'TextBox() Dim fg_pen As New Pen(Color.Red, LineWidth) 'Dim fontSize As Single = 0.1 + ((Y2 - Y1) / 2) Dim fontSize As Single = 20 Try Dim drawFont As New Font("Arial", fontSize, FontStyle.Bold) Trace.WriteLine(s_InsertLabel) gr.DrawString(s_InsertLabel, drawFont, Brushes.Brown, X1, Y1) Catch ex As ArgumentException End Try gr.DrawRectangle(Pens.Azure, rect) ' gr.DrawRectangle(fg_pen, rect) fg_pen.Dispose() End If End Sub Public Function GetValueString(ByVal ValueType As String) Return ValueType End Function ' Return the object's bounding rectangle. Public Overrides Function GetBounds() As System.Drawing.Rectangle Return New Rectangle( _ Min(X1, X2), _ Min(Y1, Y2), _ Abs(100), _ Abs(30)) Trace.WriteLine("don't forget to make variables in GetBounds DrawableTextbox") End Function ' Return True if this point is on the object. Public Overrides Function IsAt(ByVal x As Integer, ByVal y As Integer) As Boolean Return (x >= Min(X1, X2)) AndAlso _ (x <= Max(X1, X2)) AndAlso _ (y >= Min(Y1, Y2)) AndAlso _ (y <= Max(Y1, Y2)) End Function ' Move the second point. Public Overrides Sub NewPoint(ByVal x As Integer, ByVal y As Integer) X2 = x Y2 = y End Sub ' Return True if the object is empty (e.g. a zero-length line). Public Overrides Function IsEmpty() As Boolean Return (X1 = X2) AndAlso (Y1 = Y2) End Function End Class I've got a form with a textbox( form1) in which the text is being inserted and passed through a buttonclick (al via properties). As you can see I've placed several traces and in the property of the class my trace works fine , however if I look in my Draw function it is already gone. And I get a blank trace. Does anyone know what's happening here. thanks in advance. (forgive me I'm new )

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  • MongoDB and visual C++ 2008 linker errors

    - by pedlar
    i'm trying to get the c++ client for mongodb working in visual studio 2008. i can reference the includes, but whenever i tell the linker about the mongodb .lib file i get the following error: "fatal error LNK1257: code generation failed". if visual studio can't find the .lib, then i get a bunch of unresolved externals errors. i'm really pretty lost at this point.

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  • Nintendo DSi SDK : Getting Started

    - by Hugoware
    Does anyone have a good starting point for learning about development for the new Nintendo DSi? What kind of hardware do you need to develop and test something like this? Can you develop for the DSi using the standard DS? What language do you need to use? [Bonus Question] : I also heard the new DSi is going to get an App Store similar to Apple - Are developers going to be able to sell games using this?

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  • Django - calling full_clean() inside of clean() equivalent?

    - by orokusaki
    For transaction purposes, I need all field validations to run before clean() is done. Is this possible? My thinking is this: @transaction.commit_on_success def clean(self): # Some fun stuff here. self.full_clean() # I know this isn't correct, but it illustrates my point. but obviously that's not correct, because it would be recursive. Is there a way to make sure that everything that full_clean() does is done inside clean()?

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  • Ten latest files on disk

    - by Artic
    I need effective algorithm to keep only ten latest files on disk in particular folder to support some kind of publishing process. Only 10 files should present in this folder at any point of time. Please, give your advises what should be used here.

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  • OS X terminal command to resolve path of an alias

    - by Josh
    I'm writing a shell script which will rsync files from remote machines, some linux, some macs, to a central backup server. The macs have folders on the root level containing aliases of all files/folders which need to be backed up. What is a terminal command I can use to resolve the path to the files/folders the aliases point to? (I'll need to pass these paths to rsync)

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  • What is a great tool for remote pair development?

    - by Haim Bender
    I'm looking for something like VNC, but with some extra features: The server should send only the part of the screen the client is looking at. It would be great if we could have 2 mice on the client's desktop. Or at least if the client could point to somthing without interrupting the server's mouse. A shared whiteboard would be great. Some extra notes: My friend lives far away, and we are using WinXP.

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  • Mocking using 'traditional' Record/Replay vs Moq model

    - by fung
    I'm new to mocks and am deciding on a mock framework. The Moq home quotes Currently, it's the only mocking library that goes against the generalized and somewhat unintuitive (especially for novices) Record/Reply approach from all other frameworks. Can anyone explain simply what the Record/Replay approach is and how Moq differs? What are the pros and cons of each especially from the point of deciding a framework? Thanks.

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  • Managing the interval for horizontal axis in flex

    - by Roshan
    Hi Guys, How can we manage the horizontalaxis interval in flex chart? What actually happening is , the data is inserted between two interval levels and its causing readability problem when we draw line grids in graph. The data point is shown in between the data grids. How can we move the axis or manage the data points?

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  • Python - Polymorphism in wxPython, What's wrong?

    - by Wallter
    I am trying to wright a simple custom button in wx.Python. My code is as follows, an error is thrown on line 19 of my "Custom_Button.py" - What is going on? I can find no help online for this error and have a suspicion that it has to do with the Polymorphism. (As a side note: I am relatively new to python having come from C++ and C# any help on syntax and function of the code would be great! - knowing that, it could be a simple error. thanks!) Error def __init__(self, parent, id=-1, NORM_BMP, PUSH_BMP, MOUSE_OVER_BMP, **kwargs): SyntaxError: non-default argument follows default argument Main.py class MyFrame(wx.Frame): def __init__(self, parent, ID, title): wxFrame.__init__(self, parent, ID, title, wxDefaultPosition, wxSize(400, 400)) self.CreateStatusBar() self.SetStatusText("Program testing custom button overlays") menu = wxMenu() menu.Append(ID_ABOUT, "&About", "More information about this program") menu.AppendSeparator() menu.Append(ID_EXIT, "E&xit", "Terminate the program") menuBar = wxMenuBar() menuBar.Append(menu, "&File"); self.SetMenuBar(menuBar) self.Button1 = Custom_Button(self, parent, -1, "D:/Documents/Python/Normal.bmp", "D:/Documents/Python/Clicked.bmp", "D:/Documents/Python/Over.bmp", "None", wx.Point(200,200), wx.Size(300,100)) EVT_MENU(self, ID_ABOUT, self.OnAbout) EVT_MENU(self, ID_EXIT, self.TimeToQuit) def OnAbout(self, event): dlg = wxMessageDialog(self, "Testing the functions of custom " "buttons using pyDev and wxPython", "About", wxOK | wxICON_INFORMATION) dlg.ShowModal() dlg.Destroy() def TimeToQuit(self, event): self.Close(true) class MyApp(wx.App): def OnInit(self): frame = MyFrame(NULL, -1, "wxPython | Buttons") frame.Show(true) self.SetTopWindow(frame) return true app = MyApp(0) app.MainLoop() Custom Button import wx from wxPython.wx import * class Custom_Button(wx.PyControl): ############################################ ##THE ERROR IS BEING THROWN SOME WHERE IN HERE ## ############################################ # The BMP's Mouse_over_bmp = wx.Bitmap(0) # When the mouse is over Norm_bmp = wx.Bitmap(0) # The normal BMP Push_bmp = wx.Bitmap(0) # The down BMP Pos_bmp = wx.Point(0,0) # The posisition of the button def __init__(self, parent, id=-1, NORM_BMP, PUSH_BMP, MOUSE_OVER_BMP, text="", pos, size, **kwargs): wx.PyControl.__init__(self,parent, id, **kwargs) # Set the BMP's to the ones given in the constructor self.Mouse_over_bmp = wx.Bitmap(MOUSE_OVER_BMP) self.Norm_bmp = wx.Bitmap(NORM_BMP) self.Push_bmp = wx.Bitmap(PUSH_BMP) self.Pos_bmp = pos ############################################ ##THE ERROR IS BEING THROWN SOME WHERE IN HERE ## ############################################ self.Bind(wx.EVT_LEFT_DOWN, self._onMouseDown) self.Bind(wx.EVT_LEFT_UP, self._onMouseUp) self.Bind(wx.EVT_LEAVE_WINDOW, self._onMouseLeave) self.Bind(wx.EVT_ENTER_WINDOW, self._onMouseEnter) self.Bind(wx.EVT_ERASE_BACKGROUND,self._onEraseBackground) self.Bind(wx.EVT_PAINT,self._onPaint) self._mouseIn = self._mouseDown = False def _onMouseEnter(self, event): self._mouseIn = True def _onMouseLeave(self, event): self._mouseIn = False def _onMouseDown(self, event): self._mouseDown = True def _onMouseUp(self, event): self._mouseDown = False self.sendButtonEvent() def sendButtonEvent(self): event = wx.CommandEvent(wx.wxEVT_COMMAND_BUTTON_CLICKED, self.GetId()) event.SetInt(0) event.SetEventObject(self) self.GetEventHandler().ProcessEvent(event) def _onEraseBackground(self,event): # reduce flicker pass def _onPaint(self, event): dc = wx.BufferedPaintDC(self) dc.SetFont(self.GetFont()) dc.SetBackground(wx.Brush(self.GetBackgroundColour())) dc.Clear() dc.DrawBitmap(self.Norm_bmp) # draw whatever you want to draw # draw glossy bitmaps e.g. dc.DrawBitmap if self._mouseIn: # If the Mouse is over the button dc.DrawBitmap(self, self.Mouse_over_bmp, self.Pos_bmp, useMask=False) if self._mouseDown: # If the Mouse clicks the button dc.DrawBitmap(self, self.Push_bmp, self.Pos_bmp, useMask=False)

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  • Error code while trying to use private variables in a function

    - by Cortopasta
    I get an error that says Parse error: syntax error, unexpected T_PRIVATE in E:\PortableApps\xampp\htdocs\SN\AC\ACclass.php on line 6 while trying to run my script. I'm new to classes in PHP and was wondering if someone could point out my error. Here's the code for that part. <?php class ac { public function authentication() { private $plain_username = $_POST['username']; private $md5_password = md5($_POST['password']); $ac = new ac();

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