Rigidity Theorems of Minimal Surfaces Foliated by Similar Planar Curves
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DOI: 10.1007/s00025-017-0754-9
Abstract: Catenoids, Riemann’s minimal surfaces, and Scherk’s surfaces (doubly periodic minimal surfaces) are classical minimal surfaces in $$\mathbb {R}^3$$R3. The catenoid and Riemann’s minimal surface can be foliated by circles with different radii. Because the Scherk’s… read more here.
Keywords: minimal surface; surface; minimal surfaces; planar curves ... See more keywords
A gradient flow for the p-elastic energy defined on closed planar curves
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DOI: 10.1007/s00208-019-01885-6
Abstract: We study the evolution of closed inextensible planar curves under a second order flow that decreases the p -elastic energy. A short time existence result for $$p \in (1, \infty ) $$ p ∈ (… read more here.
Keywords: flow elastic; elastic energy; planar curves; energy ... See more keywords
Characterization and extensive study of cubic and quintic algebraic trigonometric planar PH curves
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DOI: 10.1007/s10444-020-09772-4
Abstract: This paper deals with Pythagorean hodograph curves of the spaces of algebraic trigonometric functions and trigonometric polynomials, span 1 , t , cos k t , sin k t k = 1 m $\text {span}\left… read more here.
Keywords: left right; algebraic trigonometric; right right; planar curves ... See more keywords
Wavelet feature parameters representations of open planar curves
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DOI: 10.1016/j.apm.2017.05.035
Abstract: Abstract The use of Haar wavelets to describe open planar curves is presented in this paper. The geometric significance of a wavelet approximation and a wavelet detail for open curves in the complex plane are… read more here.
Keywords: open planar; feature parameters; planar curves; wavelet feature ... See more keywords
Sampling of Planar Curves: Theory and Fast Algorithms
Sign Up to like & getrecommendations! Published in 2019 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2019.2954508
Abstract: We introduce a continuous domain framework for the recovery of a planar curve from a few samples. We model the curve as the zero level set of a trigonometric polynomial. We show that the exponential… read more here.
Keywords: curve; sampling planar; theory fast; curves theory ... See more keywords