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Log-Aesthetic Magnetic Curves and Their Application for CAD Systems
Joint Authors
Miura, Kenjiro T.
Gobithaasan, R. U.
Wo, Mei Seen
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-10-27
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Curves are the building blocks of shapes and designs in computer aided geometric design (CAGD).
It is important to ensure these curves are both visually and geometrically aesthetic to meet the high aesthetic need for successful product marketing.
Recently, magnetic curves that have been proposed for computer graphics purposes are a particle tracing technique that generates a wide variety of curves and spirals under the influence of a magnetic field.
The contributions of this paper are threefold, where the first part reformulates magnetic curves in the form of log-aesthetic curve (LAC) denoting it as log-aesthetic magnetic curves (LMC) and log-aesthetic magnetic space curves (LMSC), the second part elucidates vital properties of LMCs, and the final part proposes G2 LMC design for CAD applications.
The final section shows two examples of LMC surface generation along with its zebra maps.
LMC holds great potential in overcoming the weaknesses found in current interactive LAC mechanism where matching a single segment with G2 Hermite data is still a cumbersome task.
American Psychological Association (APA)
Wo, Mei Seen& Gobithaasan, R. U.& Miura, Kenjiro T.. 2014. Log-Aesthetic Magnetic Curves and Their Application for CAD Systems. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1044316
Modern Language Association (MLA)
Wo, Mei Seen…[et al.]. Log-Aesthetic Magnetic Curves and Their Application for CAD Systems. Mathematical Problems in Engineering No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1044316
American Medical Association (AMA)
Wo, Mei Seen& Gobithaasan, R. U.& Miura, Kenjiro T.. Log-Aesthetic Magnetic Curves and Their Application for CAD Systems. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1044316
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1044316