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General Information
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2013 Vol.3(6): 504-508 ISSN: 2010-3697
DOI: 10.7763/IJMO.2013.V3.330

Asymmetric and Symmetric Spherical Product Surfaces with both Implicit and Parametric Representations

Pi-Chung Hsu
Abstract—This paper proposes spherical product functions to define implicit spherical product surfaces. A spherical product function is composed of a contour function and a profile function and its iso-surface’s shape is generated by modulating and translating the iso-curve of the contour function through the points on the iso-curve of the profile function. This paper also shows if contour and profile functions are ray-linear, then an implicit spherical product surface can be parameterized and hence have both the advantages of implicit and parametric surfaces. Moreover, this paper proposes ray-linear two-branch and one-branch linear and super-hyperbolic functions that can be used to construct new contour and profile functions with asymmetric or symmetric iso-curves. Based on them, an implicit spherical product surface can has asymmetric or symmetric contour and profile and also has a parametric representation.

Index Terms—Implicit surface, blending operations, parametric surface.

Pi-Chung Hsu is with Department of Information Management, Shu-Te University, Kaohsiung City, Taiwan (e-mail: pichung@stu.edu.tw).


Cite:Pi-Chung Hsu, "Asymmetric and Symmetric Spherical Product Surfaces with both Implicit and Parametric Representations," International Journal of Modeling and Optimization vol. 3, no. 6, pp. 504-508, 2013.

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