Some recent results on the projective evolution of 2-D curves
نویسندگان
چکیده
In this paper, we begin to explore the evolution of curves of the projective plane according to a family of intrinsic equations generalizing a projective heat equationn 1]. This is motivated by previous work for the Euclidean 2, 3, 4] and the aane case 5, 6, 7, 8] as well as by applications in the perception of two-dimensional shapes. We establish the projective arclength evolution and the projective curvature evolution. Among this family of equations, we point out the ones preserving an important property of the Euclidean and aane heat equations that was not preserved in the pro-jective case: a curve with constant curvature should remain such a curve during its evolution.
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