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Projective-invariant description of a meandering river

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How can the projective invariant of the cubic curve approximating the river bed near its meander be calculated? A well-known approach uses the Weierstrass normal form. However, it is important… Click to show full abstract

How can the projective invariant of the cubic curve approximating the river bed near its meander be calculated? A well-known approach uses the Weierstrass normal form. However, it is important to find this form by means of calculations tolerant to curve representation errors and, in particular, using calculations that do not require computation of tangent lines or inflection points. A new algorithm is proposed for calculation of the projective invariant of the cubic curve. This algorithm can be used to describe river meanders.

Keywords: projective invariant; meandering river; river; description meandering; invariant description; curve

Journal Title: Journal of Communications Technology and Electronics
Year Published: 2017

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