Interpolation of Normals Along a 3D Curve
Vol 7 No 3 (2026), Papers
Vol 7 No 3 (2026)

Interpolation of Normals Along a 3D Curve

Papers
Published September 30, 2026
A. L. Legotin
Scientific Research Institute for System Analysis of the National Research Centre “Kurchatov Institute”, Moscow, Russian Federation
G. K. Vinogradov
Scientific Research Institute for System Analysis of the National Research Centre “Kurchatov Institute”, Moscow, Russian Federation
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Keywords

interpolation of the normal
PN-curve
Bezier triangle
curved point-normal triangles

How to Cite

1.
Legotin A.L., Vinogradov G.K. Interpolation of Normals Along a 3D Curve // Russian Journal of Cybernetics. 2026. Vol. 7, № 3. P. 92-100.
ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver GOST R 7.0.5-2008

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Abstract

we solved the problem of interpolating the normal along the edge of a curvilinear and discusses other related problems.

PDF (Russian)

References

Farin G. E. Curves and Surfaces for CAGD. A Practical Guide. 5th edition. San Francisco: Morgan Kaufmann; 2002. 520 p.

Vlachos A., Peters J., Boyd C., Mitchell J. L. Curved PN Triangles. Proceedings of the 2001 Symposium on Interactive 3D graphics (I3D ’01). 2001:159–166. DOI: 10.1145/364338.364387.

Van Overveld C. W. A. M., Wyvill B. Phong Normal Interpolation Revisited. ACM Trans. on Graphics. 1997;16(4):397–419. DOI: 10.1145/263834.263849.

Fünfzig C., Müller K., Hansford D., Farin G. PNG1 Triangles for Tangent Plane Continuous Surfaces on the GPU. Proceedings of Graphics Interface. 2008:219-226. DOI: 10.1145/1375714.1375751.

Кудрявцев Л. Д. Краткий курс математического анализа. Т. 1. Дифференциальное и интегральное исчисления функций одной переменной. М.: Физматлит; 2015. 444 с.

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