Title: Wheel-throwing in digital space using number-theoretic approach

Authors: Gautam Kumar, Naveen Kr. Sharma, Partha Bhowmick

Addresses: Department of Computer Science and Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India. ' Department of Computer Science and Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India. ' Department of Computer Science and Engineering, Indian Institute of Technology Kharagpur, Kharagpur 721302, India

Abstract: This paper introduces a novel technique to create digital potteries using certain number-theoretic techniques of digital geometry. Given a digital generatrix, the proposed wheel-throwing procedure works with a few primitive integer computations only, wherein lies its strength and novelty. The digital surface created out of the digital wheel-throwing is digitally connected and irreducible when the digital generatrix is an irreducible digital curve segment, which ensures its successful rendition with a realistic finish, whatsoever may be the zoom factor. The proposed technique is also bestowed with the desired quality of producing a monotone or a non-monotone digital surface of revolution depending on whether or not the digital generatrix is monotone with respect to the axis of revolution. Thick-walled potteries, therefore, can be created successfully and efficiently to have the final product ultimately resembling a real-life pottery. Experimental results with some typical generatrices demonstrate its efficiency, elegance and versatility.

Keywords: arts; computer graphics; digital circles; digital surface of revolution; wheel-thrown potteries; number theory; digital pottery; digital geometry.

DOI: 10.1504/IJART.2011.039845

International Journal of Arts and Technology, 2011 Vol.4 No.2, pp.196 - 215

Available online: 22 Apr 2011

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