Developing Method of Formulating Curves Composing Immersive Landscape

2022 Fiscal Year Final Research Report

• Project/Area Number: 20K12520
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Review Section: Basic Section 90010:Design-related
• Research Institution: Mukogawa Women's University
• Principal Investigator: SUZUKI Toshitomo 武庫川女子大学, 建築学部, 教授 (10388803)
• Co-Investigator(Kenkyū-buntansha): 飯塚 公藤 近畿大学, 総合社会学部, 准教授 (10516397)
• Project Period (FY): 2020-04-01 – 2023-03-31
• Keywords: 透視図 / 円柱透視図 / 球面透視図 / 極小曲面 / 写真測量 / 熊谷家伝記 / GIS

Outline of Final Research Achievements

(1) In addition to analyzing the interrelationships among perspective, cylindrical perspective, and spherical perspective, we formulated planar curves as curvature lines on minimal surfaces. We also redefined, compared, and discussed the formulas for warping curves based on the three known design methods for ishigaki (stone walls) at Japanese castles. Additionally, we compared the curves with the results of photogrammetry of the ishigaki at Hikone Castle.
(2) We conducted experiments in which participants wearing an eye camera observed the skyline of the mountain range. We also analyzed the place names found in the the Kumagai Kadenki chronicle (Kumagai-Ke Denki) in the area where the experiments were conducted, and developed GIS data.
(3) We attempted to clarify the design of large-scale architecture with curves and curved surfaces. We also presented a method to easily measure and reproduce the shape of a Maruko-bune and to utilize its curves and curved surfaces in architectural design.

Free Research Field

建築計画、建築設計

Academic Significance and Societal Importance of the Research Achievements

極小曲面の曲率線の定式化の研究に関しては，膜構造建築物の設計への応用の可能性が考えられる。城郭石垣の反り曲線の定式化の研究成果は，美しさと構造的合理性を兼ね備えた擁壁や建築等を設計する上で有効な知見である。『熊谷家伝記』の研究は，南北朝時代に開郷された愛知県北設楽郡豊根村富山地区の山間集落の歴史の，より詳細な解明につながり、学術的のみならず当該地域に対しても貢献できる。曲線，曲面をもつ大規模建築の設計や，丸子船の曲線，曲面を活用した建築設計に関しては，アルゴリズミックアーキテクチャや写真測量の応用による建築設計の新たな可能性を示すことができた。