Semi-positive line bundles over compact Kahler manifolds have been the focus of studies for decades. Among them, there are several straddling vanishing theorems such as the Kodaira-Nakano Vanishing Theorem, Vesentini-Gigante-Girbau Vanishing Theorems and KawamataViehweg Vanishing Theorem. As a corollary of the above mentioned vanishing theorems one can easily show that a line bundle over compa...

A finite element scheme for an entirely fractional Allen–Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, Caputo in-time derivative Laplacian replace standard local operators. Piecewise linear elements convolution quadratures are basic tools involved in presented numerical method. Error analysis implementation issues addressed together neede...

This paper describes a flexible camera calibration method using refined vanishing points without prior information. Vanishing points are estimated from human-made features like parallel lines and repeated patterns. With the vanishing points extracted from the three mutually orthogonal directions, the interior and exterior orientation parameters can be further calculated using collinearity condi...

This paper presents a visual recognition method to identify types of corridor segments such as T-junctions, L-junctions, and dead ends using vanishing point-based visual features and a two-layer recognition framework. This approach is useful for efficient robot navigation in the sense that a mobile robot is able to recognize the corridor segment type before reaching it, allowing the robot to ma...

Konstantinos Daniilidis and J org Ernst Computer Science Institute, Kiel University Abstract During a camera motion with arbitrary translation and xed axis rotation a vanishing point traverses a conic section on the image plane. The intrinsic parameters of the camera can be obtained from the coe cients of the conic. Special care is given to the propagation of the error covariances and the elim...

We consider the problem of matching perspective views of coplanar structures composed of line segments. Both model-to-image and image-to-image correspondence matching are given a consistent treatment. These matching scenarios generally require discovery of an eight parameter projective mapping. However, when the horizon line of the object plane can be found in the image, done here using vanishi...

Gradients are natural first order differential operators depending on Riemannian metrics. The principal symbols of them are related to the enveloping algebra and higher Casimir elements. We give certain relations in the enveloping algebra, which induce not only identities for higher Casimir elements but also all Bochner-Weitzenböck formulas for gradients. As applications, we give some vanishing...

This paper describes a novel method for recovering the perspective geometry of textured surfaces from local spectral moments. It commences by computing the Fourier power spectrum at each of a series of local neighbourhoods. We illustrate how the vanishing point of the global perspective geometry can be estimated from local spectral moments. This is a two-step process. We commence by identifying...

The vanishing and exploding gradient problems are well-studied obstacles that make it difficult for recurrent neural networks to learn long-term time dependencies. We propose a reparameterization of standard recurrent neural networks to update linear transformations in a provably norm-preserving way through Givens rotations. Additionally, we use the absolute value function as an element-wise no...

We consider the space of weakly almost periodic functions on a transformation semigroup (S, X , ?) and show that if X is a locally compact noncompact uniform space, and ? is a separately continuous, separately proper, and equicontinuous action of S on X, then every continuous function on X, vanishing at infinity is weakly almost periodic. We also use a number of diverse examples to show ...