From Euclidean to Topological: Visual Exploration of Transformations Types in Shape-Changing Interfaces

TY - GEN

T1 - From Euclidean to Topological

T2 - Visual Exploration of Transformations Types in Shape-Changing Interfaces

AU - Rasmussen, Majken Kirkegård

PY - 2025/7/4

Y1 - 2025/7/4

N2 - This pictorial explores the challenge of distinguishing between shape-changing and actuated interfaces by applying a foundational geometry framework from mathematics to categorise different types of transformations. The framework introduces six geometric transformation types: Euclidean transformations, similarity transformations, affine transformations, projective transformations, topological transformations, and non-topological transformations. Through visual analysis, the pictorial contributes a new vocabulary for de-scribing the transformations of shape-changing interfaces. It offers reflections on which transformations can be considered shape changing, as well as how features of the physical design might impact the perceived shape change.

AB - This pictorial explores the challenge of distinguishing between shape-changing and actuated interfaces by applying a foundational geometry framework from mathematics to categorise different types of transformations. The framework introduces six geometric transformation types: Euclidean transformations, similarity transformations, affine transformations, projective transformations, topological transformations, and non-topological transformations. Through visual analysis, the pictorial contributes a new vocabulary for de-scribing the transformations of shape-changing interfaces. It offers reflections on which transformations can be considered shape changing, as well as how features of the physical design might impact the perceived shape change.

KW - Shape-changing interfaces

KW - transformation

KW - visual review

UR - https://www.scopus.com/pages/publications/105020660753

U2 - 10.1145/3715336.3735433

DO - 10.1145/3715336.3735433

M3 - Article in proceedings

SP - 2019

EP - 2033

BT - DIS 2025 - Proceedings of the 2025 ACM Designing Interactive Systems Conference

A2 - Nunes, Nuno Jardim

A2 - Nisi, Valentina

A2 - Oakley, Ian

A2 - Yang, Qian

A2 - Zheng, Clement

ER -