We propose a convex, lower semi-continuous, coercive approximation of Euler’s elastica energy for images, which is thus very well-suited as a regularizer in image processing. The approximation is not quite the convex relaxation, and we discuss its close relation to the exact convex relaxation as well as the difficulties associated with computing the latter. Interestingly, the convex relaxation ...

The present study aimed to isolate soil microorganisms-degrading plant latices and to screen their capablilities of producing protease and lipase. Many bacterial and fungal strains of mesophilic, thermotolerant or thermophilic nature were able to grow on sugar-free medium amended with crude latex of either Euphorbia pulcherrima, Ficus elastica or F. nitida and incubated at 25oC, 36oC or 45oC. T...

This report traces the history of the elastica from its first precise formulation by James Bernoulli in 1691 through the present. The complete solution is most commonly attributed to Euler in 1744 because of his compelling mathematical treatment and illustrations, but in fact James Bernoulli had arrived at the correct equation a half-century earlier. The elastica can be understood from a number...

In this paper, a fast algorithm for Euler’s elastica functional is proposed, in which the Euler’s elastica functional is reformulated as a constrained minimization problem. Combining the augmented Lagrangian method and operator splitting techniques, the resulting saddle-point problem is solved by a serial of subproblems. To tackle the nonlinear constraints arising in the model, a novel fixed-po...