Hilbert space-filling curves
GPTKB entity
Statements (54)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
space-filling curve
|
| gptkbp:application |
image processing
computer graphics geographical information systems data clustering numerical integration |
| gptkbp:artwork |
gptkb:Hilbert_curve
2D grid filling recursive pattern |
| gptkbp:characteristics |
compactness
continuity self-similarity uniform continuity non-injectivity recursive construction space-filling property |
| gptkbp:defines |
gptkb:David_Hilbert
|
| gptkbp:dimensions |
1-dimensional
|
| gptkbp:firstIntroduced |
1891
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hilbert space-filling curves
|
| gptkbp:keyIssues |
gptkb:quantum_computing
set theory information theory algebraic topology category theory homotopy theory numerical methods graph theory topology functional analysis functional spaces measure theory approximation theory chaos theory combinatorics complex analysis dynamical systems algorithmic complexity discrete mathematics computational geometry random processes measure spaces linear_algebra Hilbert_spaces |
| gptkbp:ledTo |
2-dimensional space
|
| gptkbp:relatedTo |
gptkb:Cantor_set
Fractal geometry Peano curve |
| gptkbp:typeOf |
Peano curve
|
| gptkbp:usedIn |
machine learning
scientific computing database indexing image compression data structure optimization |