منابع مشابه
Time-Varying Vector Field Design on Surfaces
Vector field design has a wide variety of applications in computer graphics, including texture synthesis, non-photorealistic rendering, fluid and crowd simulation, and shape deformation. This paper addresses the problem of the design of time-varying vector fields on surfaces. The additional time dimension poses a number of unique challenges to the design tasks such as the introduction of more c...
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Let F be a closed connected surface, M a closed connected 3-manifold with H1(M,Z/2) = 0, and i : F → M a generic map. Then M − i(F ) is a union of connected regions, which may be colored black and white by a checkerboard coloring. This coloring induces a color black or white to each cross-cap of i, namely, the color of the majority of the three local regions in its neighborhood. For k ≥ 0, let ...
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Let F be a closed surface and i : F → S a generic immersions. Then S− i(F ) is a union of connected regions, which may be separated into two sets {Uj} and {Vj} by a checkerboard coloring. For k ≥ 0 let ak, bk be the number of components Uj , Vj with χ(Uj) = 1 − k, χ(Vj) = 1 − k, respectively. Two more integers attached to i are the number N of triple points of i, and χ = χ(F ). In this work we ...
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Gradient vector flow based snakes are a very common method in biomedical image segmentation. The use of gradient vector flow herein brings some major advantages like a large capture range to strong gradients and a good adaption of the snakes in concave regions. In some cases though, the application of gradient vector flow can also have undesired effects, e.g. if only parts of an image are stron...
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for the first time in the minkowski space, an rn 1 time-like complementary ruled surface isdescribed and relations are given connected with an asymptotic and tangential bundle of the time-likecomplementary ruled surface. furthermore, theorems are given related to edge space, central space andcentral ruled surface of this complementary ruled surface.
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1955
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1955-0067546-2