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1. #Mathematica manipulate full
2. #Mathematica manipulate code
3. #Mathematica manipulate series
4. #Mathematica manipulate download

#Mathematica manipulate download

Just to show off, I’ll download those images directly from the web using programmatically constructed URLs.

#Mathematica manipulate series

Beyond a certain level of complexity it’s simply not efficient to mess around with dialog boxes and script editors: you want a real language with a real syntax and a real API.Ī simple example: let’s apply this image processing chain not to one image, but to a series of them.

Sure, you can write Photoshop scripts I’ve done that many times, and every time I end up swearing at the thing wishing I could use a real language (and now that Mathematica 7 is out, I finally can). One of the main advantages of doing something like this in Mathematica is that you can trivially replicate operations for many images. LaplacianFilter applies a form of edge detection, ImageAdjust tweaks the brightness and contrast, and then Dilation expands the bright areas to emphasize them.

Here’s what they look like processed through three image processing functions: Here’s a very pretty picture taken by Peter Overmann, who led image processing development in Mathematica: Let’s look at another application, edge detection. So there you go: an interactive slider you absolutely cannot get in Photoshop, or anywhere else for that matter. Remember how we made a Manipulate to play with the contrast of an image? How about a Manipulate to play with the number of neighbors? The parameter says how many neighbors to look at before building the network. This function identifies patches that are similar in color, then connects them into a network. See how all the green patches are smooth and all the red patches are high-contrast? It might be interesting to look at these patches in a similarity network rather than a scatter plot. This is, after all, Mathematica, where one comes to expect things to work with each other.) (Image processing commands are fully integrated and compatible with charting commands. For example, here are the image patches in reverse order.Īnd here they are sorted by average pixel value (roughly by brightness):Īnd here are the images sorted into a scatter plot where the x axis represents the red component, the y axis represents the green component, and the size represents the blue component.

Lists are general things in Mathematica, and lists of images are no exception. This result isn’t an image, it’s a list of images. Here’s a clown fish, and a command that breaks it into 40-pixel squares.īy the way, we’re seeing another neat thing about the integration of images with Mathematica’s typeset input/output system. OK, but you could just do that in Photoshop, right? Oh shush, let’s do something you definitely can’t. The general-purpose Manipulate command lets you make just about anything interactive, including the contrast parameter in this example. Is that too much contrast? An obvious thing to want is a slider that lets you adjust the contrast. That means if you save the notebook containing the input, the image is saved with it: the input line is completely self-contained.

#Mathematica manipulate full

When you surround an image with textual input the image is automatically displayed at an icon size, but the input line still contains the full data of the image. Here’s an undersaturated mandrill, and a command to increase the contrast. Just type the command you want to use, then drag and drop the image from your desktop or browser right into the input line. To apply them to images, you don’t need to use any form of import command or file name references. Mathematica 7 adds a suite of image processing functions from trivial to highly sophisticated.

#Mathematica manipulate code

It’s been possible since Version 6 of Mathematica to embed images directly into lines of code, allowing such stupid code tricks as expanding a polynomial of plots.Īs with many extremely nifty technologies, this feature of Mathematica had to wait a while before the killer app for it was discovered.