[HN Gopher] Ohmaps: your image montage is a resistor network
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       Ohmaps: your image montage is a resistor network
        
       Author : occular
       Score  : 38 points
       Date   : 2024-11-12 12:44 UTC (10 hours ago)
        
 (HTM) web link (hunsley.io)
 (TXT) w3m dump (hunsley.io)
        
       | occular wrote:
       | Part 2:
       | 
       | https://hunsley.io/posts/2024/image-montage-is-resistor-netw...
        
         | dylan604 wrote:
         | If you read TFA and got to the end, the link for part 2 is
         | right there. If you didn't read TFA, why would part 2 be
         | something someone would be interested in?
        
       | MeteorMarc wrote:
       | The 3k2 resistor in the Mondriaan network should be 300 ohm,
       | because its height is 3.2 times its width.
        
       | OisinMoran wrote:
       | Very fun! I'm always a big of things being viewed as other things
       | --no idea why though!
        
       | dvh wrote:
       | If you liked this you are gonna like R-2R DAC.
        
       | twwwt wrote:
       | Ok, if the spatial concept of aspect ratio is the equivalent of
       | electrical resistance, and given the analogy in the article of
       | the painting and the resistor network, what is the equivalence of
       | color then? Frequency?
        
       | strken wrote:
       | This is neat!
       | 
       | When I was fresh out of uni, I got asked to build a system to
       | show recommendations to people based on a graph of connections
       | between them. I tried to mentally think about these as a network
       | of resistors, which led me to dimensionality reduction and from
       | there to alternating least squares. Isomorphisms are fun like
       | that: they can help you find techniques when you're stuck on
       | something.
        
         | dekhn wrote:
         | btw you can also convert graphs to matrices and use standard
         | matrix techniques. See the methods section of
         | https://www.sciencedirect.com/science/article/pii/S037887330...
        
           | strken wrote:
           | Yep! My problem at the time was that I didn't know I _needed_
           | a matrix, or which operations would be helpful to perform on
           | one, because I didn 't know much about the problem I was
           | trying to solve. I ran into a paper about using SVD on
           | networks of resistors to simplify them, which pointed me in
           | the right direction.
        
       | bgoated01 wrote:
       | So these addition formulas that apply to series and parallel
       | resistors seem more generally to be formulas for finding the new
       | ratio when you have several ratios and want to add them together
       | treating the quantity in the numerator or the denominator as
       | equal for all ratios. Series circuits have the same current for
       | each ratio, and differing voltages, while parallel circuits have
       | the same voltage for each ratio and a different current for each.
       | Similarly for these aspect ratios, where you want the new ratio
       | after adding width or height while setting the other (height or
       | width, respectively) equal.
        
       | dekhn wrote:
       | IIUC this is similar to how window layout is computed in systems
       | like qt.
        
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