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Geometric structures for threedimensional shape representation
 ACM Trans. Graph
, 1984
"... Different geometric structures are investigated in the context of discrete surface representation. It is shown that minimal representations (i.e., polyhedra) can be provided by a surfacebased method using nearest neighbors structures or by a volumebased method using the Delaunay triangulation. Bot ..."
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Cited by 194 (5 self)
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Different geometric structures are investigated in the context of discrete surface representation. It is shown that minimal representations (i.e., polyhedra) can be provided by a surfacebased method using nearest neighbors structures or by a volumebased method using the Delaunay triangulation
their geometric structure
"... y (Communicated by H. Van Maldeghem) Abstract. In a previous paper R. Mathon gave a new construction method for maximal arcs in finite Desarguesian projective planes via closed sets of conics, as well as giving many new examples of maximal arcs. In the current paper, new classes of maximal arcs are ..."
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of when a closed set of conics is of Denniston type is given. Results on the geometric structure of the maximal arcs and their duals are proved, as well as on elements of their collineation stabilisers. 1
Dictionary of protein secondary structure: pattern recognition of hydrogenbonded and geometrical features
, 1983
"... For a successful analysis of the relation between amino acid sequence and protein structure, an unambiguous and physically meaningful definition of secondary structure is essential. We have developed a set of simple and physically motivated criteria for secondary structure, programmed as a patternr ..."
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Cited by 2092 (5 self)
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recognition process of hydrogenbonded and geometrical features extracted from xray coordinates. Cooperative secondary structure is recognized as repeats of the elementary hydrogenbonding patterns “turn ” and “bridge. ” Repeating turns are “helices, ” repeating bridges are “ladders, ” connected ladders are “sheets
Voronoi diagrams  a survey of a fundamental geometric data structure
 ACM COMPUTING SURVEYS
, 1991
"... This paper presents a survey of the Voronoi diagram, one of the most fundamental data structures in computational geometry. It demonstrates the importance and usefulness of the Voronoi diagram in a wide variety of fields inside and outside computer science and surveys the history of its development. ..."
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Cited by 743 (5 self)
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This paper presents a survey of the Voronoi diagram, one of the most fundamental data structures in computational geometry. It demonstrates the importance and usefulness of the Voronoi diagram in a wide variety of fields inside and outside computer science and surveys the history of its development
Geometric Structures And Varieties Of Representations
 Proceedings of Amer. Math. Soc. Summer Conference
, 1988
"... . Many interesting geometric structures on manifolds can be interpreted as structures locally modelled on homogeneous spaces. Given a homogeneous space (X, G) and a manifold M , there is a deformation space of structures on M locally modelled on the geometry of X invariant under G. Such a geomet ..."
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Cited by 9 (3 self)
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. Many interesting geometric structures on manifolds can be interpreted as structures locally modelled on homogeneous spaces. Given a homogeneous space (X, G) and a manifold M , there is a deformation space of structures on M locally modelled on the geometry of X invariant under G. Such a
Geometrical structure of Laplacian eigenfunctions
, 2013
"... We summarize the properties of eigenvalues and eigenfunctions of the Laplace operator in bounded Euclidean domains with Dirichlet, Neumann, or Robin boundary condition. We keep the presentation at a level accessible to scientists from various disciplines ranging from mathematics to physics and com ..."
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Cited by 11 (3 self)
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and computer sciences. The main focus is placed onto multiple intricate relations between the shape of a domain and the geometrical structure of eigenfunctions.
ON LOVELY PAIRS OF GEOMETRIC STRUCTURES
, 2008
"... We study the theory of lovely pairs of geometric structures, in particular ominimal structures. We characterize "linear" theories in terms of properties of the corresponding theory of the lovely pair. For ominimal theories, we use PeterzilStarchenko's trichotomy theorem to characte ..."
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Cited by 10 (4 self)
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We study the theory of lovely pairs of geometric structures, in particular ominimal structures. We characterize "linear" theories in terms of properties of the corresponding theory of the lovely pair. For ominimal theories, we use PeterzilStarchenko's trichotomy theorem
Regular Labelings and Geometric Structures
, 2010
"... Three types of geometric structure—grid triangulations, rectangular subdivisions, and orthogonal polyhedra— can each be described combinatorially by a regular labeling: an assignment of colors and orientations to the edges of an associated maximal or nearmaximal planar graph. We briefly survey the ..."
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Cited by 4 (1 self)
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Three types of geometric structure—grid triangulations, rectangular subdivisions, and orthogonal polyhedra— can each be described combinatorially by a regular labeling: an assignment of colors and orientations to the edges of an associated maximal or nearmaximal planar graph. We briefly survey
Geometric structures in field theory
"... This review paper is concerned with the generalizations to field theory of the tangent and cotangent structures and bundles that play fundamental roles in the Lagrangian and Hamiltonian formulations of classical mechanics. The paper reviews, compares and constrasts the various generalizations in ord ..."
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Cited by 1 (0 self)
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in order to bring some unity to the field of study. The generalizations seem to fall into two categories. In one direction some have generalized the geometric structures of the bundles, arriving at the various axiomatic systems such as ksymplectic and ktangent structures. The other direction
Results 1  10
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