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2010•Unpublished venueRequires access

The Study for Algorithm of Linear Interpolation Based on Bipolar Coordinates

W. Li, Ning Jun Fan, Chia‐Min Yang

Open publisher page 5 citations

Abstract

The paper introduces a new algorithm of interpolation based on bipolar coordinates. According to the comparing point by point interpolation principle, the linear interpolation theories in polar coordinates and its algorithms are discussed in detail. The recurrence formula is deduced. The interpolation algorithm can be applied to the parallel mechanism based on polar coordinates, and its algorithm is so simple that it can be easily realized by program with minor error.

About this research paper

What this paper is about

The paper introduces a new algorithm of interpolation based on bipolar coordinates. According to the comparing point by point interpolation principle, the linear interpolation theories in polar coordinates and its algorithms are discussed in detail. The recurrence formula is deduced. The interpolation algorithm can be applied to the parallel mechanism based on polar coordinates, and its algorithm is so simple that it can be easily realized by program with minor error.

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OpenAlex reports 5 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

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Method / approach

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Available abstract

The paper introduces a new algorithm of interpolation based on bipolar coordinates. According to the comparing point by point interpolation principle, the linear interpolation theories in polar coordinates and its algorithms are discussed in detail. The recurrence formula is deduced. The interpolation algorithm can be applied to the parallel mechanism based on polar coordinates, and its algorithm is so simple that it can be easily realized by program with minor error.

Key concepts: Interpolation (computer graphics), Linear interpolation, Algorithm, Polar coordinate system, Stairstep interpolation, Trilinear interpolation, Computer science, Polar

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