Phase-field models for strongly anisotropic surface energy need to be regularized remove the ill posedness of dynamic equations. Regularization introduces a new length scale, corner size, also called bending length. For large with respect interface thickness, phase-field method is known converge asymptotically toward sharp-interface theory when appropriate approximation Willmore used. In this w...

Traditionally, corners are found along step edges. In this paper, we present an alternative approach corners along ridges/troughs and local minima points. These features seem to be more reliable for tracking. A new approach for sub-pixel localization of these corners is suggested, using a local approximation of the image surface.

For Potrace, a bitmap of size w × h is embedded in a cartesian coordinate system where each pixel takes up the space of one unit square. The pixels are positioned so that the corners of pixels (and not their centers) lie at points with integer coordinates, as illustrated in Figure 1. The origin of the coordinate system is at the lower left corner of the bitmap. The four corners of the bitmaps h...

Checkerboard pattern can be used in many computer vision areas by matching the pattern as a surface, such as camera calibration, stereo vision, projector-camera system and even surface reconstruction. However, most existing checkerboard pattern recognition methods only work in planar and fine illuminating circumstances. A robust recognition method for checkerboard pattern is proposed in this pa...

Black holes in a class of string compactifications, known as STU models, carry four electric and magnetic charges. Furthermore, duality group, given by the product three congruence subgroups SL(2,\({{\mathbb {Z}}}\)), acts on these integer valued By placing eight charges at corners Bhargava cube, we provide classification orbits theories.

Human and non-human animals are capable of using basic geometric information to reorient in an environment. Geometric information includes metric properties associated with spatial surfaces (e.g., short vs. long wall) and left-right directionality or 'sense' (e.g. a long wall to the left of a short wall). However, it remains unclear whether geometric information is encoded by explicitly computi...

We present an object recognition system based on symbolic graphs with object corners as vertices and outlines as edges. Corners are determined in a robust way by a multiscale combination of an operator modeling cortical end-stopped cells. Graphs are constructed by line-following between corners. Model matching is then done by nding subgraph isomorphisms in the image graph. The complexity is red...