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Titlebook: Discrete Geometry and Mathematical Morphology; Third International Sara Brunetti,Andrea Frosini,Simone Rinaldi Conference proceedings 2024

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楼主: whiplash
发表于 2025-3-30 09:30:01 | 显示全部楼层
Chapter 7: Ajahn Chah Gives a Teachingd rotation using nine digitized beam shears, i.e., we round the result of each shear before applying the next one. As digitized shears are bijective, our 3D digitized rotation inherits the same property. Experiments show that the average error of our digitized rotation compared to the continuous one is kept under 1 (around 0.8).
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Bijectivity Analysis of Finite Rotations on ,: A Hierarchical Approach hinge angles) and the size of the considered ball. We propose efficient algorithmic schemes leading to the construction of combinatorial models (trees) of the bijective finite rotations. These algorithms and structures open the way to a better understanding of the notion of bijectivity with respect to finite vs. infinite discrete rotations.
发表于 2025-3-30 21:14:29 | 显示全部楼层
Bijective Digitized 3D Rotation Based on Beam Shearsd rotation using nine digitized beam shears, i.e., we round the result of each shear before applying the next one. As digitized shears are bijective, our 3D digitized rotation inherits the same property. Experiments show that the average error of our digitized rotation compared to the continuous one is kept under 1 (around 0.8).
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https://doi.org/10.1007/978-3-642-73875-3which guarantees the equality if the musical pattern satisfies a topological condition. This condition is met when the patterns do not intersect, or only slightly, which is coherent in a musical context. Due to the importance of repetition in music, this idea proves to be relevant for the musical pattern discovery task.
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Plato killed a moth in my dream by the branch of the Stern-Brocot tree. This generalisation shows the close link between arithmetic hyperplanes and the generalised Stern-Brocot tree and opens up interesting perspectives for the recognition of pieces of arithmetic hyperplanes.
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