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A Focal Curve Approximation of a Borromini Oval Contour

Petrović, Maja / Malešević, Branko / Štulić, Radovan / Vučić, Marko / Petrović, Đorđe / Mijailović, Radomir

Abstract In this paper we derive a mathematical procedure for the determination of a Weberian focal curve (of two, three or four collinear foci), as a good fitting curve for the impost of the Dome of San Carlo alle Quatro Fontane by Francesco Borromini. For this research, the usual oval composition of two or more circles, which is a piecewise function having the property of C1 continuity, is substituted with a Weberian differentiable focal curve. The created procedure iteratively determines the position of foci giving the highest possible value of the coefficient of determination for the particular case study.

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A Focal Curve Approximation of a Borromini Oval Contour

Petrović, Maja / Malešević, Branko / Štulić, Radovan / Vučić, Marko / Petrović, Đorđe / Mijailović, Radomir

Abstract In this paper we derive a mathematical procedure for the determination of a Weberian focal curve (of two, three or four collinear foci), as a good fitting curve for the impost of the Dome of San Carlo alle Quatro Fontane by Francesco Borromini. For this research, the usual oval composition of two or more circles, which is a piecewise function having the property of C1 continuity, is substituted with a Weberian differentiable focal curve. The created procedure iteratively determines the position of foci giving the highest possible value of the coefficient of determination for the particular case study.

A Focal Curve Approximation of a Borromini Oval Contour

Petrović, Maja / Malešević, Branko / Štulić, Radovan / Vučić, Marko / Petrović, Đorđe / Mijailović, Radomir

Abstract In this paper we derive a mathematical procedure for the determination of a Weberian focal curve (of two, three or four collinear foci), as a good fitting curve for the impost of the Dome of San Carlo alle Quatro Fontane by Francesco Borromini. For this research, the usual oval composition of two or more circles, which is a piecewise function having the property of C1 continuity, is substituted with a Weberian differentiable focal curve. The created procedure iteratively determines the position of foci giving the highest possible value of the coefficient of determination for the particular case study.

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Titel:

A Focal Curve Approximation of a Borromini Oval Contour

Beteiligte:

Petrović, Maja (Autor:in) / Malešević, Branko (Autor:in) / Štulić, Radovan (Autor:in) / Vučić, Marko (Autor:in) / Petrović, Đorđe (Autor:in) / Mijailović, Radomir (Autor:in)

Erschienen in:

Nexus Network Journal ; 21 ; 19-31

Erscheinungsdatum:

19.12.2018

Format / Umfang:

13 pages

ISSN:

1522-4600 , 1590-5896

DOI:

https://doi.org/10.1007/s00004-018-00421-4

Medientyp:

Aufsatz (Zeitschrift)

Format:

Elektronische Ressource

Sprache:

Englisch

Schlagwörter:

San Carlo alle Quattro Fontane , Weberian focal curve , Contour fit Mathematics , Mathematics, general , History and Philosophical Foundations of Physics , Popular Science, general , History, general

Ähnliche Titel

Portoghesi, Paolo | UB Braunschweig | 1968

Blunt, Anthony | UB Braunschweig | 1979

The drawing of the dome of Borromini? San Carlino alle Quattro Fontane: canonic oval?

Marco Canciani | DOAJ | 2015

Freier Zugriff

Francesco Borromini

Hempel, Eberhard | UB Braunschweig | 1924

Francesco Borromini

Portoghesi, Paolo | UB Braunschweig | 1990