The digital world surrounding us is full of images. Many of them are very large and do not easily fit into small devices, such as smart mobile phones. Alexander Kolesnikov’s thesis brings a revolutionary change to this. He has invented the most efficient vector graphics compression technique in the world that will make all maps, drawings and cartoons fit into small but smart mobile phones.
Digital images on digital TV’s, DVDs and computer and mobile device displays come in two variants: raster images and vector images. Digital photographs are raster images and can be simply compressed to small devices. Not so maps, drawings and technical layouts that are vector images. It is often precisely these images that are needed in professional applications of mobile devices. From now on this will change in a dramatic way.
The thesis of Alexander Kolesnikov “Efficient algorithms for vectorization and polygonal approximation” is dedicated to the problem of optimal approximation of piecewise linear curves. How the curves can be represented with less error for a given number of approximation linear segments? This is classical problem in computational geometry, computer graphics and data compression. With heuristic algorithms a result can be obtained fast, but the result is non-optimal. With optimal algorithms we can achieve a perfect result, but the algorithms are too slow to be used in practice.
Can we achieve a perfect or almost perfect result in a reasonable time? In other words, can we borrow a good time performance from heuristic methods and the high quality of the solution from the optimal algorithm?
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