Unconstrained Automatic Image Matching Using Multiresolutional Critical-Point Filters
IEEE Transactions on Pattern Analysis and Machine Intelligence
Knowledge representation: logical, philosophical and computational foundations
Knowledge representation: logical, philosophical and computational foundations
Generic Sign Systems in Medical Imaging
IEEE Computer Graphics and Applications
Surface Coding Based on Morse Theory
IEEE Computer Graphics and Applications
SCCG '01 Proceedings of the 17th Spring conference on Computer graphics
SID: a system for interactive design
AFIPS '80 Proceedings of the May 19-22, 1980, national computer conference
| Hi-index | 0.00 |
The world of matter was understood clearly only by finding its invariants such as mass and energy. From the invariants, physics has derived theories to govern the whole material world as variants. Cyberworlds are information worlds. Hence, finding the invariants of information worlds is the key to the success. The laws of information worlds as the discipline belong to what we call mathematics. Mathematical invariants are, in most general cases, equivalence relations. The intelligent parts of cognition for conceptualization rely on induction of concepts from cumulative knowledge gathered ubiquitously on the Web from cyberworlds and also physical devices ubiquitously in the real world. Induction and deduction based on traditional logic are found to be too limited in their capability, and they are becoming topological, algebraic topological in particular to compute. Autonomy is achieved by integrating all the cyberworlds by attaching functions based on invariants autonomously, and by deducing rapidly evolving variants from invariants also autonomously, to make the results trusted. Autonomous visual computing based on differential topology, Morse theory in particular, for autonomous digital contents generation is of increasing interest in the ubiquitous information communication community.