{"title":"基于标量场函数的建筑空间透明度研究","authors":"X. Lou, K. Deng, Yidi Li, Changhai Peng","doi":"10.1080/13875868.2022.2117045","DOIUrl":null,"url":null,"abstract":"ABSTRACT This paper studies the sufficient, necessary, and optimal conditions of the phenomenal transparency of architectural space (PTAS) by the eigenvector and eigenvalue of the gradient function of Scalar Field Function (SFF). Then, the SFF’s method is used to analyze the PTAS of significant contemporary or canonical architectural works. The conclusions are: the eigenvalue of the SFF and its integral can be used to describe PTAS; the sufficient and necessary conditions of PTAS are the eigenvalue cannot be zero, and the area integral of the eigenvalue should be greater than a certain value; the optimal condition of PTAS is that the eigenvalue is the largest; the corresponding design methods include spatial stratification, graphic overlay, and grid rotation.","PeriodicalId":46199,"journal":{"name":"Spatial Cognition and Computation","volume":null,"pages":null},"PeriodicalIF":1.6000,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Transparency study of architectural space based on a scalar field function\",\"authors\":\"X. Lou, K. Deng, Yidi Li, Changhai Peng\",\"doi\":\"10.1080/13875868.2022.2117045\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"ABSTRACT This paper studies the sufficient, necessary, and optimal conditions of the phenomenal transparency of architectural space (PTAS) by the eigenvector and eigenvalue of the gradient function of Scalar Field Function (SFF). Then, the SFF’s method is used to analyze the PTAS of significant contemporary or canonical architectural works. The conclusions are: the eigenvalue of the SFF and its integral can be used to describe PTAS; the sufficient and necessary conditions of PTAS are the eigenvalue cannot be zero, and the area integral of the eigenvalue should be greater than a certain value; the optimal condition of PTAS is that the eigenvalue is the largest; the corresponding design methods include spatial stratification, graphic overlay, and grid rotation.\",\"PeriodicalId\":46199,\"journal\":{\"name\":\"Spatial Cognition and Computation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.6000,\"publicationDate\":\"2022-08-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Spatial Cognition and Computation\",\"FirstCategoryId\":\"102\",\"ListUrlMain\":\"https://doi.org/10.1080/13875868.2022.2117045\",\"RegionNum\":4,\"RegionCategory\":\"心理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PSYCHOLOGY, EXPERIMENTAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Spatial Cognition and Computation","FirstCategoryId":"102","ListUrlMain":"https://doi.org/10.1080/13875868.2022.2117045","RegionNum":4,"RegionCategory":"心理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PSYCHOLOGY, EXPERIMENTAL","Score":null,"Total":0}
引用次数: 0
摘要
摘要本文利用标量场函数(Scalar Field function, SFF)的梯度函数的特征向量和特征值,研究了建筑空间(PTAS)现象透明的充要条件、必要条件和最优条件。然后,使用SFF的方法分析重要的当代或规范建筑作品的PTAS。结论是:SFF的特征值及其积分可以用来描述PTAS;PTAS的充要条件是特征值不能为零,且特征值的面积积分大于某一值;PTAS的最优条件是特征值最大;相应的设计方法包括空间分层、图形叠加、网格旋转等。
Transparency study of architectural space based on a scalar field function
ABSTRACT This paper studies the sufficient, necessary, and optimal conditions of the phenomenal transparency of architectural space (PTAS) by the eigenvector and eigenvalue of the gradient function of Scalar Field Function (SFF). Then, the SFF’s method is used to analyze the PTAS of significant contemporary or canonical architectural works. The conclusions are: the eigenvalue of the SFF and its integral can be used to describe PTAS; the sufficient and necessary conditions of PTAS are the eigenvalue cannot be zero, and the area integral of the eigenvalue should be greater than a certain value; the optimal condition of PTAS is that the eigenvalue is the largest; the corresponding design methods include spatial stratification, graphic overlay, and grid rotation.