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on Modeling of Branching Structures of Plants
, 2000
"... Previous studies of branching structures generally focused on arteries. Four cost models minimizing total surface area, total volume, total drag and total power losses at a junction point have been proposed to study branching structures. In this paper, we highlight the branching structures of plants ..."
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Cited by 1 (0 self)
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Previous studies of branching structures generally focused on arteries. Four cost models minimizing total surface area, total volume, total drag and total power losses at a junction point have been proposed to study branching structures. In this paper, we highlight the branching structures
On Minkowskian Branching Structures
, 706
"... Contrary to its initial idea, Belnap’s (1992) theory of Branching SpaceTimes (BST) has models in which histories do not resemble relativistic spacetimes or any other physical spacetimes. The aim of this paper is to define a certain class of BST models, called ”Minkowskian Branching Structures ” ( ..."
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Cited by 5 (1 self)
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Contrary to its initial idea, Belnap’s (1992) theory of Branching SpaceTimes (BST) has models in which histories do not resemble relativistic spacetimes or any other physical spacetimes. The aim of this paper is to define a certain class of BST models, called ”Minkowskian Branching Structures
Interactive Modeling of Branching Structures
 SIGGRAPH 96 Visual Proceedings
, 1996
"... We present a rule based modelling system that allows the graphical interactive definition of botanical structures such as plants, including partial and global constraints and free form deformations. The main idea is to represent the rule system by a structure tree with components of high functionali ..."
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Cited by 6 (2 self)
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functionality. In comparison to other rule based approaches, complex branching structures can be developed faster and more flexible. The design of natural objects such as trees, bushes or flowers is a challenging task in two respects. One is the enormous structural complexity, the other is the large amount
A semantics of multiple inheritance
 Information and Computation
, 1988
"... There are two major ways of structuring data in programming languages. The first and common one, used for example in Pascal, can be said to derive from standard branches of mathematics. Data is organized as cartesian products (i.e. record types), disjoint sums (i.e. unions or variant types) and func ..."
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Cited by 528 (9 self)
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There are two major ways of structuring data in programming languages. The first and common one, used for example in Pascal, can be said to derive from standard branches of mathematics. Data is organized as cartesian products (i.e. record types), disjoint sums (i.e. unions or variant types
The Growth of Branching Structures with P Systems
"... Summary. Lsystems have been widely used to model and graphically represent the growth of plants [18]. In [4], the use of membrane computing for such tasks has been proposed. In this paper we present a different approach, which makes use of the topology of membrane structures to model the morphology ..."
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Cited by 4 (3 self)
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the morphology of branching structures. We also keep closer to reality by simulating their growth from buds, instead of rewriting existing structures, as Lsystems do. 1
Model Based Detection of Branching Structures
 Proc. Medical Image Understanding and Analysis
, 2002
"... Abstract. This paper presents a method for modelling and estimating 2D or 3D branching structures, such as blood vessel bifurcations from medical images. Branches are modelled as a superposition of Gaussian functions in a local region which describe the amplitude, position and orientations of inters ..."
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Abstract. This paper presents a method for modelling and estimating 2D or 3D branching structures, such as blood vessel bifurcations from medical images. Branches are modelled as a superposition of Gaussian functions in a local region which describe the amplitude, position and orientations
Branching Time and Abstraction in Bisimulation Semantics
 JOURNAL OF THE ACM
, 1996
"... In comparative concurrency semantics, one usually distinguishes between linear time and branching time semantic equivalences. Milner’s notion of ohsen~ation equirlalence is often mentioned as the standard example of a branching time equivalence. In this paper we investigate whether observation equi ..."
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Cited by 331 (17 self)
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equivalence really does respect the branching structure of processes, and find that in the presence of the unobservable action 7 of CCS this is not the case. Therefore, the notion of branching hisimulation equivalence is introduced which strongly preserves the branching structure of processes, in the sense
Asymmetric Flow in Symmetric Branched Structures
"... We investigate the fluid flow through a cascade of bifurcations by direct simulation of the 2D NavierStokes equations. We show that, for a fully symmetric tree with n generations (n $ 3͒, the flow distribution becomes significantly heterogeneous at an increased Reynolds number. We develop a binary ..."
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binary tree model and find that the distribution of flow at the outlet branches can be described by a selfaffine landscape, with a selfaffine exponent a 0.9 for the human lung. We suggest that the asymmetric flow occurring in symmetric branched structures may be important both for the morphogenesis
BIOMIMETICS OF TREESHAPED BRANCHING STRUCTURE IN TEXTILE FABRICS
"... Water transport properties of fabrics are critical to wearing comfort. A treeshaped branching network, which exists widely in nature, is known to have an extremely efficient transport system. The emulation of the treeshaped branching structure in textile fabrics has the potential of developing fab ..."
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Water transport properties of fabrics are critical to wearing comfort. A treeshaped branching network, which exists widely in nature, is known to have an extremely efficient transport system. The emulation of the treeshaped branching structure in textile fabrics has the potential of developing
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