Search
Search Results
-
On the Properties of Algebraic Geometric Codes as Copy Protection Codes
AbstractTraceability schemes that are applied to broadcast encryption can prevent unauthorized parties from accessing the distributed data. In a...
-
Defects of codes from higher dimensional algebraic varieties
An MDS code is a code which achieves equality in the singleton bound. The defect of a code measures how far it is from an MDS code. Amplifying on the...
-
-
A digital watermarking method for medical images resistant to print-scan based on QR code
Medical images are important records to improve people’s health care, and their security has become an important issue when they are transmitted...
-
A three-dimensional extension of the slope chain code: analyzing the tortuosity of the flagellar beat of human sperm
In the realm of 3D image processing, accurately representing the geometric nuances of line curves is crucial. Building upon the foundation set by the...
-
Implementation of Geometric Algebra in Computer Algebra Systems
AbstractFor describing specialized mathematical structures, it is preferable to use a special formalism rather than a general one. However, tradition...
-
Large Language Model for Geometric Algebra: A Preliminary Attempt
Geometric algebra serves as the unified language of mathematics, physics, and engineering in the 21st century. Coinciding with the era of artificial...
-
-
JXPAMG: a parallel algebraic multigrid solver for extreme-scale numerical simulations
JXPAMG is a parallel algebraic multigrid (AMG) solver for solving the extreme-scale, sparse linear systems on modern supercomputers. JXPAMG features...
-
An ensemble learning interpretation of geometric semantic genetic programming
Geometric semantic genetic programming (GSGP) is a variant of genetic programming (GP) that directly searches the semantic space of programs to...
-
Detecting Geometric Primitives
Many geometrical shapes, such as lines, circles, and ellipses, can be readily described by simple equations with only a few parameters. Since such...
-
Geometric Conditions for the Existence or Non-existence of a Solution to the Perspective 3-Point Problem
Direct and fairly simple geometric criteria are proved to be necessary for the Perspective 3-Point (P3P) Problem to have a real solution point. This...
-
Leveraging code generation for transparent immersogeometric fluid–structure interaction analysis on deforming domains
Code generation technology has been transformative to the field of numerical partial differential equations (PDEs), allowing domain scientists and...
-
Learning with cone-based geometric models and orthologics
Recent approaches for knowledge-graph embeddings aim at connecting quantitative data structures used in machine learning to the qualitative...
-
Algebraic Structures
At the end of this chapter...
-
Generic-Group Lower Bounds via Reductions Between Geometric-Search Problems: With and Without Preprocessing
The generic-group model ( \( \textrm{GGM}\) )...
-
Local geometric edge features based registration for textureless object in augmented reality assisted assembly
Image-based methods have been widely used in augmented reality (AR) assistant assembly systems. However, due to the lack of sufficient texture...
-
Search for Similarity Transformation Between Image Point Clouds Using Geometric Algebra for Conics
We introduce a novel way of searching for the similarity transformation of pictures using Geometric Algebra for Conics (GAC). In our approach, we do...
-
Coupling algebraic topology theory, formal methods and safety requirements toward a new coverage metric for artificial intelligence models
Safety requirements are among the main barriers to the industrialization of machine learning based on deep learning architectures. In this work, a...
