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Shade Lines of Curved Surfaces - Rotational and Helical Circular Surfaces

Daniel Lordick ; Institut für Geometrie Technische Universität Dresden, Dresden, Germany

Puni tekst: njemački, pdf (242 KB) str. 11-19 preuzimanja: 560* citiraj
APA 6th Edition
Lordick, D. (2002). Schattengrenzen krummer Flächen – Drehflächen, Schraubrohrfläche und Meridiankreisschraubfläche. KoG, 6. (6.), 11-19. Preuzeto s https://hrcak.srce.hr/3924
MLA 8th Edition
Lordick, Daniel. "Schattengrenzen krummer Flächen – Drehflächen, Schraubrohrfläche und Meridiankreisschraubfläche." KoG, vol. 6., br. 6., 2002, str. 11-19. https://hrcak.srce.hr/3924. Citirano 24.02.2020.
Chicago 17th Edition
Lordick, Daniel. "Schattengrenzen krummer Flächen – Drehflächen, Schraubrohrfläche und Meridiankreisschraubfläche." KoG 6., br. 6. (2002): 11-19. https://hrcak.srce.hr/3924
Harvard
Lordick, D. (2002). 'Schattengrenzen krummer Flächen – Drehflächen, Schraubrohrfläche und Meridiankreisschraubfläche', KoG, 6.(6.), str. 11-19. Preuzeto s: https://hrcak.srce.hr/3924 (Datum pristupa: 24.02.2020.)
Vancouver
Lordick D. Schattengrenzen krummer Flächen – Drehflächen, Schraubrohrfläche und Meridiankreisschraubfläche. KoG [Internet]. 2002 [pristupljeno 24.02.2020.];6.(6.):11-19. Dostupno na: https://hrcak.srce.hr/3924
IEEE
D. Lordick, "Schattengrenzen krummer Flächen – Drehflächen, Schraubrohrfläche und Meridiankreisschraubfläche", KoG, vol.6., br. 6., str. 11-19, 2002. [Online]. Dostupno na: https://hrcak.srce.hr/3924. [Citirano: 24.02.2020.]

Sažetak
Typically a tangent t to the shade line e of a curved surface Φ is constructed by making use of the fact that t and the light ray l form a pair of conjugate diameters of the so-called DUPIN-indicatix of Φ at an investigated point P. This article describes a very different approach to developing such a tangent: The shade line e is defined as the intersection of Φ and a special ruled surface Ψ, which depends both on Φ and on the bundle of light rays. Ψ is introduced as accompanying ruled surface along e. This approach allows a simple, linear and globally applicable construction of t for rotational and helical surfaces by means of descriptive geometry. The method is also suitable for translation surfaces as well as for central illumination [4]. In a few cases Ψ is a ruled quartic.

Ključne riječi
curved surface; Dupin-indicatrix; ruled surface; shades and shadows

Hrčak ID: 3924

URI
https://hrcak.srce.hr/3924

[hrvatski] [njemački]

Posjeta: 934 *