How to visualize axis-aligned boxes with ParaView - vtk

I would like to visualize a number of axis-aligned bounding boxes in ParaView. I will create an unstructured grid and insert vtkVoxel cells in there. How many points should each voxel be associated with? Since the documentation says voxels are efficient in storage, I thought two corners would be enough, but this post, for example, seems to be setting 8 for each of them. I was not able to get anything from the documentation either.

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OHow can I extract text from a specific area of an image with python?

I am trying to extract text from an image, but within a certain area of the image and not the entire image.
I have already been able to detect where the objects of interest are and get their coordinates. Though I do not know where to start when extracting text from a specific area.
I'm using the code from this example:
https://www.codingame.com/playgrounds/38470/how-to-detect-circles-in-images
It is able to detect the circles, but I want to take it one step further and extract the numbers from the circles and tag them to their corresponding coordinate.
I'm using this example to learn how to do something similar myself, but I'm really more interested in deciding the search in a set area.
Most image processing libraries support the concept of ROIs (region of interest) or AOIs (area of interest).
The idea is to restrict processing to a subset of pixels that are usually selected by defining geometric shapes like rectangles, polygons, circles within the image coordinate system.
You can fix this issue by first cropping the image using your coordinates and try to extract text from it.

Turn an image into lines and circles

I need to be able to turn a black and white image into series of lines (start, end points) and circles (start point, radius). I have a "pen width" that's constant.
(I'm working with a screen that can only work with this kind of graphics).
Problem is, I don't want to over complicate things - I could represent any image with loads of small lines, but it would take a lot of time to draw, so I basically want to "approximate" the image using those lines and circles.
I've tried several approaches (guessing lines, working area by area, etc) but none had any reasonable results without using a lot of lines and circles.
Any idea on how to approach this problem?
Thanks in advance!
You don't specify what language you are working in here but I'd suggest OpenCV if possible. If not, then most decent CV libraries ought to support the features that I'm about to describe here.
You don't say if the input is already composed of simple shapes ( lines and polygons) or not. Assuming that it's not, i.e. it's a photo or frame from a video for example, you'll need to do some edge extraction to find the lines that you are going to model. Use a Canny or other edge detector to convert the image into a series of lines.
I suggest that you then extract Circles as they are the richest feature that you can model directly. You should consider using a Hough Circle transform to locate circles in your edge image. Once you've located them you need to remove them from the edge image (to avoid duplicating them in the line processing section below).
Now, for each pixel in the edge image that's 'on' you want to find the longest line segment that it's a part of. There are a number of algorithms for doing this, simplest would be Probabilistic Hough Transform (also available in openCV) to extract line segments which will give you control over the minimum length, allowed gaps etc. You may also want to examine alternatives like LSWMS which has OpenCV source code freely available.
Once you have extracted the lines and circles you can plot them into a new image or save the coordinates for your output device.

Manipulate/creation of SVGs relative to their center

I would like to identify the center of an SVG, so that I can manipulate multiple SVGs with ease.
I am trying to make multiple examples of the basic polygons (3 to 8 sides), and quickly realized that I either hade to make my own, which involves a lot of math, or I could pull from wikipedia the current ones. The problem with the former is that it takes a lot of time to translate the coordinates from Sketchup. The problem with the latter is that they are oriented differently and of different size.
I know that you can transform, scale, and rotate the SVG, but I need to know the coordinates of the center of the SVG. How do I find this out, so I can set universal manipulations?
Take the transform="rotate(degrees x y)", I need to know the center to accomplish this.
JS Fiddle
Here, I would like to set all the centers to the same, and then scale them to the same height and width, and potentially rotate them individually so that they all have a flat bottom, not a vertex.
The generic answer to your question isn't obvious...
It might be simpler for polygons, particularly convex polygons: you can iterate on the path and find its bounding box by computing the max and min of the x and y coordinates of each point of the path.
Then you can decide that the center of the shape is the center of the of the bounding box.
An alternative is to put an invisible element at what you estimate to be the center (for complex shapes, the concept of "center" can be variable), and get its coordinates to find out where the center is. Particularly for rotating purpose: you might want to do this rotation around a specific point which might not be the geometrical center.

SVG plot from point-value pairs

I need to write some code (for a web.py webapp with a straight-HTML/JS client) that will generate a visual representation of a set of point-values. Each point has an X and Y coordinate, and the value is an integer. If I can use SVG to do this, then I can scale the image client-side with no extra code. Can I actually do this? I am concerned about a couple of things:
The points don't necessarily have any relation to each other. They aren't necessarily in a grid, nor can we say how many points are nearby, etc.
Gradients are primarily one-direction, and multiple gradients on the same shape seems to be a foreign concept.
Fills require an existing image, at which point, I'd be better off generating the entire image server-side anyway.
Objects always have a layering, even if it isn't specified, which can change how the image is rendered.
If it helps, consider a situation where we have a point surrounded by 5 others, where one of them is a bit closer than the others (exact distances and sizes can be adjusted). All six of the points have different colors (Red, Green, Blue, Cyan, Magenta, Yellow, with red in the center and Yellow being slightly closer), and the outer five points are arranged roughly in a pentagon. Note that this situation is not the only option, just a theoretically possible situation.
Can I do this with SVG, or should I render an image server-side?
EDIT: The main difficulty isn't in drawing the points, it is in filling the space between the points so that there is no whitespace, and color transitions aren't harsh/unpredictable if you know the data.
I don't entirely understand the different issues you are having with wanting to use svg. I am currently using the set up you are describing to render X-Y scatter plots and gaussian curves and found that it works great.
Regarding the last point about object layering, you have to be particularly careful when layering objects with less than 100% opacity which are different colors. The way the colors "add" depends on the order in which you add the objects to your svg drawing.
Thankfully you can use different filters to overlay the colors without blending them. Specifically I am using the FeComposite filter element. There is a good example of its usage here:
http://www.w3.org/TR/SVG/filters.html#feCompositeElement

I the have country boundaries. How do I fill in with dots?

I got my country lat/long boundaries from koordinates.com. Now I want to fill in the interior with dots.
Since the file I have is KML, I was thinking of converting the coordinates to cartesian using the NetTopologySuite.
I do not want a polygon overlay. I want to generate dots/coordinates for the polygons interior - ideally at a density of my choosing.
I have seen algorithms like this one, http://alienryderflex.com/polygon_fill/. Is there a library that will do this for me? Alternatively, can someone share code?
Ultimately, I will convert the dot coordinates back to lat/long and populate a globe like this one
http://code.google.com/p/webgl-globe/
I'm affraid GIS isn't my area of expertise, but I've got two ideas:
Generate a set of random points. You can use a Point-In-Polygon function to determine if you're points are in the right place.
You can use a rectangle grid of points and use a 'resolution' to determine how many points there will be and how close. You can offset the grid positions to make them look more random if you need to. You'll check if the point inside the bounding rectangle of your polygon is inside the polygon or not.
Notice that the webgl-globe example uses a grid of points(similar to point(2)) converted to spherical coordinates.
Both ideas is kind of similar, only the points distribution differs.
You can find a roughly related implementation I did using actionscript here,
but I would also suggest asking on the GIS site.

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