Data compression: the complete reference
Data compression: the complete reference
Fuzzy Sets Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy Relation Equations and Their Applications to Knowledge Engineering
Fuzzy logic = computing with words
IEEE Transactions on Fuzzy Systems
Fuzzy vector quantization algorithms and their application in image compression
IEEE Transactions on Image Processing
Compression and decompression of images with discrete fuzzy transforms
Information Sciences: an International Journal
Approximation by pseudo-linear operators
Fuzzy Sets and Systems
An image coding/decoding method based on direct and inverse fuzzy transforms
International Journal of Approximate Reasoning
Improved batch fuzzy learning vector quantization for image compression
Information Sciences: an International Journal
A segmentation method for images compressed by fuzzy transforms
Fuzzy Sets and Systems
Fuzzy Relational Compression Applied on Feature Vectors for Infant Cry Recognition
MICAI '09 Proceedings of the 8th Mexican International Conference on Artificial Intelligence
An automatic bi-channel compression technique for medical images
International Journal of Robotics and Automation
Approximation of extensional fuzzy relations over a residuated lattice
Fuzzy Sets and Systems
On fuzzy relational equations and the covering problem
Information Sciences: an International Journal
Fragile watermarking tamper detection with images compressed by fuzzy transform
Information Sciences: an International Journal
Hi-index | 0.00 |
This study focuses on fuzzy relational calculus viewed as a basis of data compression. Images are fuzzy relations. We investigate fuzzy relational equations as a basis of image compression. It is shown that both compression and decompression (reconstruction) phases are closely linked with the way in which fuzzy relational equations are developed and solved. The theoretical findings encountered in the theory of these equations are easily accommodated as the backbone of the relational compression. The character of the solutions to the equations makes them ideal for reconstruction purposes as they specify the extremal elements of the solution set and in such a way help establish some envelopes of the original images under compression. The flexibility of the conceptual and algorithmic framework arising there is also discussed. Numerical examples provide a suitable illustrative material emphasizing the main features of the compression mechanisms.