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The aim of this paper is to discuss some applications of general topology in computer algorithms including modeling and simulation, and also in computer graphics and image processing. While the progress in these areas heavily depends on…

Numerical Analysis · Mathematics 2012-01-23 Rastislav Telgarsky

This report explores the latest advances in the field of digital document recognition. With the focus on printed document imagery, we discuss the major developments in optical character recognition (OCR) and document image…

Computer Vision and Pattern Recognition · Computer Science 2014-12-16 Eugene Borovikov

Optical character recognition (OCR) is a widely used pattern recognition application in numerous domains. There are several feature-rich, general-purpose OCR solutions available for consumers, which can provide moderate to excellent…

Computer Vision and Pattern Recognition · Computer Science 2021-05-18 Ayantha Randika , Nilanjan Ray , Xiao Xiao , Allegra Latimer

This paper describes a geometry based technique for feature extraction applicable to segmentation-based word recognition systems. The proposed system extracts the geometric features of the character contour. This features are based on the…

Computer Vision and Pattern Recognition · Computer Science 2015-03-13 Dinesh Dileep Gaurav , Renu Ramesh

Object encoding and identification are crucial for many robotic tasks such as autonomous exploration and semantic relocalization. Existing works heavily rely on the tracking of detected objects but have difficulty recalling revisited…

Robotics · Computer Science 2022-01-27 Kuan Xu , Chen Wang , Chao Chen , Wei Wu , Sebastian Scherer

Text network analysis has received increasing attention as a consequence of its wide range of applications. In this work, we extend a previous work founded on the study of topological features of mesoscopic networks. Here, the geometrical…

Computation and Language · Computer Science 2018-07-10 Henrique F. de Arruda , Vanessa Q. Marinho , Thales S. Lima , Diego R. Amancio , Luciano da F. Costa

We propose a context-sensitive grammar for the systematic exploration of the design space of the topology of 3D robots, particularly unmanned aerial vehicles. It defines production rules for adding components to an incomplete design…

I briefly discuss a method of obtaining distinct classes of topologically equivalent knots by developing appropriate computer programs.

q-alg · Mathematics 2008-02-03 Charilaos Aneziris

In a world of digitization, optical character recognition holds the automation to written history. Optical character recognition system basically converts printed images into editable texts for better storage and usability. To be completely…

Computer Vision and Pattern Recognition · Computer Science 2021-01-06 Abu Saleh Md. Abir , Sanjana Rahman , Samia Ellin , Maisha Farzana , Md Hridoy Manik , Chowdhury Rafeed Rahman

There are many difficulties facing a handwritten Arabic recognition system such as unlimited variation in human handwriting, similarities of distinct character shapes, interconnections of neighbouring characters and their position in the…

Computer Vision and Pattern Recognition · Computer Science 2014-02-27 Ahmed Sahlol , Cheng Suen

We present a novel, log-radius profile representation for convex curves and define a new operation for combining the shape features of curves. Unlike the standard, angle profile-based methods, this operation accurately combines the shape…

Graphics · Computer Science 2015-06-25 Dongsung Huh

There is a large collection of Handwritten English paper documents of Historical and Scientific importance. But paper documents are not recognized directly by computer. Hence the closest way of indexing these documents is by storing their…

Computer Vision and Pattern Recognition · Computer Science 2013-10-24 Sayantan Sarkar

In this paper, we propose Conceptual Codebook Learning (CoCoLe), a novel fine-tuning method for vision-language models (VLMs) to address the challenge of improving the generalization capability of VLMs while fine-tuning them on downstream…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Yi Zhang , Ke Yu , Siqi Wu , Zhihai He

Document image has been the area of research for a couple of decades because of its potential application in the area of text recognition, line recognition or any other shape recognition from the image. For most of these purposes…

Computer Vision and Pattern Recognition · Computer Science 2015-02-02 Mahua Nandy , Satadal Saha

We present a notion of geometry encoding suitable for machine learning-based numerical simulation. In particular, we delineate how this notion of encoding is different than other encoding algorithms commonly used in other disciplines such…

Machine Learning · Computer Science 2021-04-19 Amir Maleki , Jan Heyse , Rishikesh Ranade , Haiyang He , Priya Kasimbeg , Jay Pathak

For humans, object detection, recognition, and tracking are innate. These provide the ability for human to perceive their environment and objects within their environment. This ability however doesn't translate well in computers. In…

Computer Vision and Pattern Recognition · Computer Science 2022-03-23 Shiyao Chen , Dale Chen-Song

Despite recent advancements in computer vision research, object detection in aerial images still suffers from several challenges. One primary challenge to be mitigated is the presence of multiple types of variation in aerial images, for…

Computer Vision and Pattern Recognition · Computer Science 2025-05-30 Sungjune Park , Hyunjun Kim , Beomchan Park , Yong Man Ro

In a previous work of the authors, a result to algorithmically compute the topology types of the level curves of an algebraic surface, is given. From this result, here we derive applications based on level curves to determine some…

Algebraic Geometry · Mathematics 2007-10-18 J. G. Alcazar , J. R. Sendra

Line detection is a classic and essential problem in image processing, computer vision and machine intelligence. Line detection has many important applications, including image vectorization (e.g., document recognition and art design),…

Computer Vision and Pattern Recognition · Computer Science 2025-01-09 Liping Yang , Joshua Driscol , Ming Gong , Katie Slack , Wenbin Zhang , Shujie Wang , Catherine G. Potts

We introduce graphcodes, a novel multi-scale summary of the topological properties of a dataset that is based on the well-established theory of persistent homology. Graphcodes handle datasets that are filtered along two real-valued scale…

Algebraic Topology · Mathematics 2024-05-24 Michael Kerber , Florian Russold