Rock squeezing has a large influence on tunnel construction safety; thus, when designing and constructing tunnels it is highly important to use reliable method for predicting from incomplete data. In this study, combination SVM-BP (support vector machine-back-propagation) model proposed classify the deformation caused by surrounding rock squeezing. We design different characteristic parameters ...

Abstract It is known that if $$f:{{\mathbb R}}^2\rightarrow {\mathbb R}$$ f : R 2 → a polynomial in each variable, then f polynomial. We present generalizations of this fact, when $${{\mathbb R}}^...

The right ventricle (RV) of the heart is responsible for pumping blood to the lungs. Its kinematics are not as well understood as that of the left ventricle (LV) due to its thin wall and asymmetric geometry. In this study, the combination of tagged MRI and three-dimensional (3-D) image-processing techniques was used to reconstruct 3-D RV-LV motion and deformation. The reconstructed models were ...

In this paper, we present a method for deformable object tracking that exploits the entire image information using the optical flow equation instead of working with discrete feature points. Our method starts from the optical flow constraint and first estimates global transformations in a hierarchical framework. Elastic deformations are then estimated separately using deformable meshes and spati...

the Lagrangian submanifolds of M k × M via symplectic reduction. If M is also a symplectic groupoid, then its multiplication space is an associative product in this operad. Following this idea, we provide a deformation theory for symplectic groupoids analog to the deformation theory of algebras. It turns out that the semiclassical part of Kontsevich’s deformation of C∞ d is a deformation of the...

The paper proposes a new method for estimation of 3-D deformation of an object from a single image or from multiple images in fixed positions with weak imaging geometry. It is assumed that the 3-D coordinates of the object points before deformation and the 2-D image coordinates after deformation are available and the interior and exterior orientations of the images are known. The core of the me...

We study all possible deformations of the Maxwell algebra. In D = d +1 6= 3 dimensions there is only one-parameter deformation. The deformed algebra is isomorphic to so(d + 1,1)⊕ so(d,1) or to so(d,2)⊕ so(d,1) depending on the signs of the deformation parameter. We construct in the dS(AdS) space a model of massive particle interacting with Abelian vector field via nonlocal Lorentz force. In D=2...