In the first part of this contribution we prove the global existence and uniqueness of a trajectory that globally converges to the minimizer of the Gross-Pitaevskii energy functional for a large class of external potentials. Using the method of Sobolev gradients we can provide an explicit construction of this minimizing sequence. In the second part we numerically apply these results to a specif...

This paper presents a technique to classify the circular traffic sign based-on HOG (histogram of oriented gradients) and a ring partitioned matching. The method divides an image into several ring areas, and calculates the HOG feature on each ring area. In the matching process, the weight is assigned to each ring for calculating the distance of HOG feature between tested image and reference imag...

Extraction of invariant features is the core of Face RecognitionSystems (FRS). This work proposes a novel feature extractor-fusion scheme using two powerful feature descriptor known as Gabor Filters (GFs) and Histogram of Oriented Gradient (HOG), which the face image is filtered with the multiscale multiresolution Gabor filter bank to generate multiple Gabor magnitude images (GMIs), then the do...

Human Detection in Images is a contemporary Computer Vision problem, still welcoming improved solutions. This subset area of object detection has seen many attempts made towards efficient implementation and in this project proposal we describe one based on Histogram of Oriented Gradients which proves to be superior than the rest in terms of both Detection rate and Error rate when using a Linear...

Histogram of Oriented Gradients (HOG) based methods for the detection of humans have become one of the most reliable methods of detecting pedestrians with a single passive imaging camera. However, they are not 100 percent reliable. This paper presents an improved tracker for the monitoring of pedestrians within images. The Parallel HOG and Correlation Tracking (PHACT) algorithm utilises self le...

Human detection is a challenging classification problem which has many potential applications including monitoring pedestrian junctions, young children in school and old people in hospitals, and several security, surveillance and civilian applications. Various approaches have been proposed to solve this problem. We have studied and implemented a scheme using Histogram of Oriented Gradients (HOG...