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Some Procrustes-type Problems

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Procrustes in the Greek mythology fits his guests to his bed. The mathematical problem after his name has a similar flavour. Suppose we have...

Notes on Light Transport in Graphics and Vision

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In this note I will approach light transport in two directions. The first is from the perspective of simulation and modeling, the other is f...

Notes on multiple view geometry

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In this short note I introduce some elements of projective geometry for cameras, based on my understanding of the materials in Multiple View...

The as-rigid-as-possible (ARAP) shape manipulation paradigm

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  In an Euclidean space $ {\mathbb{R}^{d}}$, rigid motions are simply translations and rotations, which can be identified with the action of...

High-dimensional filtering with permutohedral lattice

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  High-dimensional filtering refers to convolution with kernel depending on more than the spatial variable. Examples include the bilateral f...
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