THE BOUNDARY-baseD ConVEX BREAK-UP:A Boundary-Sensitive Description of Building Morphology

基于边界的凸面分解：建筑形态的边界敏感描述

NAZILA MAGHZIAN

KEY WORDS: Space Syntax, Convex Partitioning, Boundary-Space Relation

关键词：空间句法，凸划分，边界与空间的关系

本文来自于第十二届空间句法北京会议，文件夹“Architectural Form”,

序号“135”

下载链接：http://www.12sssbeijing.com/upload/file/1562671219.pdf【浙江工业大学理论课作业】

This paper proposes a new method of convex partitioning for orthogonal layouts. The proposed method provides a description of the relation between interior space and its boundaries, and is constructed through considering two conditions.

这篇论文将提出一种新的对正交布局的凸划分方法。该方法基于两个条件，对内部空间与其边界的关系进行了描述。

The first condition is that each convex subdivision relates to a local boundary condition, such as a wall, a corner, or at least a vertex. The second condition is that each side of a convex subdivision is either defined by a solid boundary or is fully permeable to an adjacent convex unit in a consistent manner, excluding the presence of breaks in a side of a convex unit into partly solid and partly permeable sections.

第一个条件是每个凸出的分部都与一个局部边界条件有关，例如一面墙、一个角、甚至是一个顶点。第二个条件是凸出的分部的每条边要么由实体的边界定义，要么一致地渗透到相邻的凸单元之中，尤其以部分撞入实体边界与可渗透界面的形式出现的凸空间。

The paper is organised in four parts: the first part highlights the need for a further understanding of the relation between boundary and space. Three existing methods of space partitioning relevant to the relation between space and boundary are studied. These are the original convex break-up method in space syntax by Hillier and Hanson, and the Surface and End-point Partitions by Peponis et al.

这篇论文由四个部分组成：第一部分强调对空间和边界关系深入理解的必要性。（至今）已经有三种关于空间与边界关系的空间划分方法我们将对三种现行有关空间与边界关系的空间划分方法进行研究。这些（方法）是最初Hillier和Hanson在空间句法中提出的关于凸空间分解方法并依靠Peponis等人的理论进行了表面和端点分区划分。

It is shown that while the Hillier and Hanson Partition is motivated by a social conception of space, namely that of co-presence, and the Surface and End-point Partitions capture perceptual properties of boundaries, the proposed convex break-up   aims to describe the relation between interior space and its boundaries.

结果表明，虽然希利尔和汉森的空间划分是由空间的社会概念（即共存概念）主导的，而且表面分区和端点分区捕获了边界的感知特性，但是拟议的凸面分解（方法）旨在描述内部空间与其边界之间的关系。

The second part presents the proposed method and establishes its usefulness in capturing the boundary-space relation by demonstrating that it   only produces a limited (only 12) number of dimensionless space-types to describe any orthogonal layout. Also, compared to the Surface and End-point Partitions, the proposed method is potentially more economical in terms of the number of convex units necessary to describe a layout. The third part further tests the method by examining a sample of nineteenth-century mansions of Esfahan, Iran as case studies. 

第二部分介绍了所提出的方法，并通过证明该方法仅产生有限（仅12种）数量的无量纲空间类型可用来描述任何正交布局，从而确立其在捕获边界空间关系中的使用价值。 而且，与表面分区和端点分区划分相比，在描述布局所需的凸单元数量方面，所提出的方法可能更经济。第三部分通过案例分析研究了伊朗埃斯法罕19世纪豪宅的样本，进一步测试了该方法。

Results from this analysis show that morphological consistencies can be detected in these case studies using the proposed method, such as the systematic occurrence of particular space-types. This part of the analysis also establishes the kind of neighbouring space-types that each convex unit is likely to have in the   sample.

这篇分析的结果表明，在这些案例研究中，可以使用所提出的方法来检测形态上的一致性（例如系统中出现的特定的空间类型）。这部分分析还确定了每个凸单元都可能在样本中具有的相邻空间特质的类型。

It is demonstrated that cultural meanings can be read in the relation between space and its boundaries using the proposed method in the selected case studies. The final part of the paper discusses the generalisable benefits of the proposed approach in understanding the morphology of interior space in at least two ways. By partitioning layouts through a limited number of space-types the proposed method can be associated first, with other types of classification methods that syntactically describe geometry and spatial morphology, and second, with sematic descriptions of boundary and space engaging socio-cultural aspects of spatial cognition.

结果表明，在选定的案例研究中，使用所提出的方法可以理解空间与边界之间关系中的文化含义。 本文的最后一部分以至少两种方式讨论了所提出的方法在理解内部空间形态方面的同道相宜之处。通过有限的空间类型划分布局与相关模式的提出，首先可以将所提的方法与其他描述几何与空间形态的句法分类模式相关联，其次，还可以将涉及到社会文化方面空间认知中的边界同空间的语义描述相关联。

REFERENCES

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pretty good！