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How Do Users Map Points Between Dissimilar Shapes

Hecher, M; Guerrero, P; Wonka, P; Wimmer, M; (2018) How Do Users Map Points Between Dissimilar Shapes. IEEE Transactions on Visualization and Computer Graphics , 24 (8) pp. 2327-2338. 10.1109/TVCG.2017.2730877. Green open access

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Abstract

Finding similar points in globally or locally similar shapes has been studied extensively through the use of various point descriptors or shape-matching methods. However, little work exists on finding similar points in dissimilar shapes. In this paper, we present the results of a study where users were given two dissimilar two-dimensional shapes and asked to map a given point in the first shape to the point in the second shape they consider most similar. We find that user mappings in this study correlate strongly with simple geometric relationships between points and shapes. To predict the probability distribution of user mappings between any pair of simple two-dimensional shapes, two distinct statistical models are defined using these relationships. We perform a thorough validation of the accuracy of these predictions and compare our models qualitatively and quantitatively to well-known shape-matching methods. Using our predictive models, we propose an approach to map objects or procedural content between different shapes in different design scenarios.

Type: Article
Title: How Do Users Map Points Between Dissimilar Shapes
Open access status: An open access version is available from UCL Discovery
DOI: 10.1109/TVCG.2017.2730877
Publisher version: https://doi.org/10.1109/TVCG.2017.2730877
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: 2D mappings, shape matching, shape similarity, transformations, user studies
UCL classification: UCL
UCL > Provost and Vice Provost Offices
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of the Built Environment > Bartlett School Env, Energy and Resources
URI: https://discovery.ucl.ac.uk/id/eprint/10058874
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