Title: Piecewise circular approximation of spirals and polar polynomials
Authors: Taponecco, Francesco
Alexa, Marc
Citation: WSCG '2003: Posters: The 11-th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2003, 3.-7. February 2003, Plzen, p. 137-140.
Issue Date: 2003
Publisher: UNION Agency
Document type: konferenční příspěvek
URI: http://wscg.zcu.cz/wscg2003/Papers_2003/I31.pdf
ISBN: 80-903100-2-8
Keywords: spirály;polární mnohočleny;kruhová aproximace
Keywords in different language: spirals;polar polynomials;circular approximation
Abstract: Spirals are surprisingly common in science, nature, physics, astronomy, flora and fauna, and the arts. In Cartesian coordinates they are typically transcendental functions, which makes the evaluation on Cartesian grids an inefficient process. We propose a construction scheme for piecewise circular approximations. The algorithm is convergent and consists of generating center coordinates and radii for quarter circles given an arbitrary monotone polynomial, exponential, or logarithmic function in polar coordinates. Evaluating quarter circles as well as generating the parameters can be done incrementally with few integer operations, thus, the algorithm is fast and stable.
Rights: © UNION Agency
Appears in Collections:WSCG '2003: Posters

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