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Video created with software developed in MATLAB to demonstrate convertion of photos to images composed of Lego bricks. In this case the resulting images have dimensions 64x64 studs (511mm square) and utilise a variety of colour palettes and conversion algorithms. The palettes are defined in csv files and the output can also be exported as a csv file to aid implementation with real bricks.
Algorithm key (weightings tuneable to taste):
INF (infinite): exact conversion of source colour to brick
RGB: weighted nearest-neighbour search in RGB space
HSV: weighted nearest-neighbour search in HSV space
INT (intensity): search for colour of similar brightness using
grayscale conversion of source and palette
HYB (hybrid): weighted mix of RGB and INT results.
Palette Key (not all colours are necessarily used in conversion):
P1: 110 colours. Comprehensive list of official Lego solid colours found at ryanhowerter.net/colors.php. Not all available outside of sets or as 1x1 plates.
P2: 16 colours. All 1x1 plates available individually from UK Lego Store in 2021
P3: 12 colours. General selection of colours from Smartable compatible bricks
P4: 12 colours. Selection of skin colours from Smartable range
P5: 80 colours. Complete range of Smartable 1x1 plates as of October 2021 smartable.aliexpress.com/store/1595237
Further development is possible: for example implementing colour converting Look Up Tables (LUT) or the introduction of controlled randomisation in the selection of brick colours.
Image used with permission.
This is a sketch of an idea that is still a work in progress. Implemented in Matlab. Comments welcome.
Puzzle piece image mapped around the Mandelbrot set. Note the double nubbin shape at the inner edge, which shows that this is really a tiling of a hyperbolic space (topologically the dual of the semiregular 4.3.4.3.4 tiling). I think that it can be proven that each piece is unique, and hence one could assemble the (infinite) set of uncolored pieces into R2 minus M in just one way (up to symmetry).
Matlab, Chadpur, 2011
Today is the first day of rainy season.
A season for all paired heart
….even a season for all single heart
Actually Rainy season is for the people who have a heart….
Because only a heart can feel the emotion of a drop of rain
First day of rainy season. Most beautiful season of Bangladesh. Most amazingly I found a Kodom (কদম ফুল) tree beside my guest house. And fortunately my colleague told me that his wife sent him a msg as today is the first day of rainy season. And I took this picture for all of you, whom I love most. Kodom Flower (কদম ফুল) is a special seasonal flower only blossom in rainy season. A flower of love.
If you are in a relation, please buy some kodom flower, at least once in this season for your beloved ones.
Average annual temperature. Data from the G-Econ project gecon.yale.edu/
Rendered using Matlab and PovRay.
Meaning of decisively in Hindi
SYNONYMS AND OTHER WORDS FOR decisively
निर्णायक रूप से→decisively
निश्चित रूप से→definitely,absolutely,as sure as eggs is eggs,Certainty,daubtless,decisively
दृढ़ता से→firmly,tightly,strong,strictly,decisively,reliably
डटकर→unhesi...
Meaning of decisively matlab, meaning decisively hindi, synonyms decisively hindi
#DecisivelyMatlab, #MeaningDecisivelyHindi, #SynonymsDecisivelyHindi
The result of iterating z_{n+1}=exp(i*0.021)*z_n/(1+z_n^3) in the complex plane. Hue determined by the complex angle, brightness by magnitude.
Taken in the courtyard in the University of Limerick.
Cropped using MATLAB to find the exact centre.
A voronoi treemap of the primates, based on the Tree of Life dataset. Each polygon represents a species, with border thickness and color attempting to show cladistic groupings. The right side is Strepsirrhini (lemurs, galagos, lorises), the right one has tarsiers in mint at the top, new world monkeys in purple, the old world monkeys in dark blue, hominids in light blue and gibbons in green.
H sapiens is the heart-shaped sky-blue polygon, surrounded by our extinct relatives and with chimps in the left corner, orangutans at the top and gorillas at the bottom corner.
The visualisation clearly has some way to go before being ready for prime time, but it is already appealing.
The image was calculated in Matlab. I used a variant of Balzer & Deussen's algorithm without the messy sample points and polygon extraction parts; I have to pay in terms of polygon quality instead, but I think I can fix that.
Pythagoras tree with random angle flipped on each level.
Generated in MATLAB and rendered in SunFlow.
The Lyapounov exponent measures how rapidly orbits diverge from each other. Here I calculated it approximatively for the Mandelbrot set.
Points inside the set converge to various cycles and hence have negative exponents. The shining centers of the components are the points that are right on a cycle. Points outside diverge to infinity, and have positive exponents. The unseen but intricate border includes both chaotic and periodic points.
The Mammals, displayed using a further development of my Voronoi treemap code (now with nicer borders and more robust calculations). Each polygon represents a mammalian species or group of species, distributed inside larger groupings.
The if one uses the Hubbard-Douady potential and the argument of the escaping point one can texture the exterior of the Mandelbrot set continuously. Here I used a simple clock image. Each band of clocks has twice as many as the one outside.
Optimal Control of Conditional Value-at-Risk in Continuous Time. Miller, Yang arxiv.org/abs/1512.05015 #q-fin
WANG, Liuping. Model predictive control system design and implementation using MATLAB. Nova York: Springer, 2009. xxix, 375 p. (Advances in industrial control [Springer]). ISBN 1848823304. Inclui bibliografia e índice; il. tab.; 24x16cm.
Google Books books.google.com.br/books?id=PphumLcKPi4C&printsec=fr...
Palavras-chave: CONTROLE PREDITIVO; MATLAB/Programa de computador.
CDU 69.059:519.6 / W246m / 2009
Lines are tangent to the curve of font.Built with INKSCAPE,MATLAB & GIMP
Inspired from mathematical typography by Tiemen Rapati
The result of iterating z_{n+1}=exp(i*0.021)*z_n/(1+z_n^3) in the complex plane. Hue determined by the complex angle, brightness by magnitude.
Spacetime diagram of Game of Life where the radius of living cells is proportional to the square root of their age and the color to the number of neighbours. Note the spaceship pattern in the lower right corner.
Rendered in PovRay.
I'm on the design team for MATLAB Central, the MathWorks online community. Whenever we solicit feedback, we always hear from a user "joking" about adding a dating service.
True to form, it wasn't long after I created the MATLAB fan page on Facebook for similar comments to start showing up on MATLAB's wall. An excerpt is pictured here.
On a more serious note, the MATLAB fan page has already grown to 2,434 fans without any promotion at all. Crazy.
Salar d'Uyuni, Bolivie.
This photo is reprocessed by some homemade effects that I tried to implement with Matlab and that works surprinsingly good. If you're interested in these effects (it basically increases the contrast), please contact me...
Sage contains interfaces to most common mathematics software including Mathematica, Maple, and Matlab.
Weight matrix for a neural network with neurons located on a sphere, distributed according to a octahedral geodesic network and with weights depending on distance as a a Mexican hat function (local excitation, long-range inhibition).
The result of iterating z_{n+1}=2*exp(i/2)*z_n/(1+z_n^3) in the complex plane. Hue determined by the complex angle, brightness by magnitude.
The result of iterating z_{n+1}=1.01*exp(i*0.0421)*z_n/(1+z_n^3) in the complex plane. Hue determined by the complex angle, brightness by magnitude.
The "Thanda Matlab Coca Cola" campaign quite literally changed the way we looked at a bottle of soft drink. It made all this look so "happy" and "colorful".
This picture is a tribute to Coke. :) - Thanda Matlab Coca Cola. ♥
The Mandelbrot set for z(n+1)=c cos(z(n)), inverted in the unit circle (so infinity is at the center and zero outside the edge of the picture).
Iterate of z_{n+1}=tanh(z_n)*exp(0.821*i)+0.1*z_n^2, colored by argument (hue) and magnitude (brightness).