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Log-Aesthetic Curves for Shape Completion Problem
Joint Authors
Miura, Kenjiro T.
Gobithaasan, R. U.
Wei, Yip Siew
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-10
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
An object with complete boundary or silhouette is essential in various design and computer graphics feats.
Due to various reasons, some parts of the object can be missing hence increasing the complexity in designing process.
It is therefore important to reconstruct the missing parts of an object while retaining its aesthetic appearance.
In this paper, we propose Log-Aestheic Curves (LAC) for shape completion problem.
We propose an algorithm to construct LAC segment and subsequently fit into the gap of the missing parts with C-shape or S-shape.
For C-shape completion, we define LAC segment by specifying two endpoints and their respective tangent directions between the gaps while, for S-shape, the user defines an inflection point in between the endpoints.
The final section illustrates three examples to showcase the efficiency of the proposed algorithm.
The results are further compared with Kimia’s method to prove that the algorithm produces equally good result.
Additionally, the proposed algorithm provides an extra degree of freedom in which the user would be able to choose the type of spiral that they desire to solve the shape completion problem.
American Psychological Association (APA)
Gobithaasan, R. U.& Wei, Yip Siew& Miura, Kenjiro T.. 2014. Log-Aesthetic Curves for Shape Completion Problem. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-511579
Modern Language Association (MLA)
Gobithaasan, R. U.…[et al.]. Log-Aesthetic Curves for Shape Completion Problem. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-511579
American Medical Association (AMA)
Gobithaasan, R. U.& Wei, Yip Siew& Miura, Kenjiro T.. Log-Aesthetic Curves for Shape Completion Problem. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-511579
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-511579