Pan-European Geometry: Graphic Coding and Pattern Recognition

Author: Liu Hongjian
Publisher:
Publish Date: 2003-10-01
Features: Pan-European geometry displays lines and curves through horizontal and vertical pixel segments, with a natural and quick approach. Pan-European geometry is keyboard geometry, inputting graphics and Chinese characters through numeric strings, one image per string, one character per code, accurate and concise. In Pan-European geometry, straight lines are alternating sequences of n and n+1, curves are segmented alternating sequences, and graphs are alternating segments. These integer expressions based on non-limit and matrix foundations have opened up new avenues for popularizing computer graphics (China's version of Logo). The Bagua theorems of straight lines and curves, as well as the topological similarities revealed by the Chinese eight clans, have inspired explorations into the geometricization of language and the linguisticization of geometry, broadening the theoretical foundation for the ontology of Chinese characters and the Chinese semantic web. "Geometry is the core of mathematical thinking. It is a field rich in intuition, and (one could say) new discoveries are within the reach of non-experts." (Introduction to Computer Geometry, Science Press, 1992). Through the discovery and encoding of graphic pan-models, Pan-European geometry demonstrates a new approach to the integration and evolution of mathematical and natural languages. This book is based on operable and computable codes and programs, providing a wealth of original materials for hands-on, innovative learning, and deduction and falsification. The book features a novel format with a rich combination of text and graphics, making it suitable as a textbook or reference for undergraduate and graduate students in computer graphics and pattern recognition courses. It can also be used as a reference for enthusiasts of mathematics, Chinese language, and software.