G<sup>2</sup> Planar Spiral Cubic Interpolation to a Spiral

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Sixth International Conference on Information Visualisation (IV'02)

G² Planar Spiral Cubic Interpolation to a Spiral

London, England

July 10-July 12

ISBN: 0-7695-1656-4

	ASCII Text	x
	Zulfiqar Habib, Manabu Sakai, "G<sup>2</sup> Planar Spiral Cubic Interpolation to a Spiral," Information Visualisation, International Conference on, pp. 51, Sixth International Conference on Information Visualisation (IV'02), 2002.

	BibTex	x
	@article{ 10.1109/IV.2002.1028755, author = {Zulfiqar Habib and Manabu Sakai}, title = {G<sup>2</sup> Planar Spiral Cubic Interpolation to a Spiral}, journal ={Information Visualisation, International Conference on}, volume = {0}, year = {2002}, issn = {1093-9547}, pages = {51}, doi = {http://doi.ieeecomputersociety.org/10.1109/IV.2002.1028755}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Information Visualisation, International Conference on TI - G<sup>2</sup> Planar Spiral Cubic Interpolation to a Spiral SN - 1093-9547 SP EP A1 - Zulfiqar Habib, A1 - Manabu Sakai, PY - 2002 KW - null VL - 0 JA - Information Visualisation, International Conference on ER -

Zulfiqar Habib, Kagoshima University

Manabu Sakai, Kagoshima University

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/IV.2002.1028755

We show that two-point G² Hermite cubic spline interpolation to a smooth spiral is a spiral. Its unit tangent matches given unit tangents and its signed curvature matches given signed curvatures at end points of the given spiral. Spiral segments are useful in the design of fair curves and have the advantages that there are no unplanned curvature maxima, curvature minima, or inflection points, and that loops and cusps are impossible within a segment.

Citation:

Zulfiqar Habib, Manabu Sakai, "G² Planar Spiral Cubic Interpolation to a Spiral," iv, pp.51, Sixth International Conference on Information Visualisation (IV'02), 2002

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