Computer geometry and encoding the information on a manifold
DOI10.1016/j.joems.2011.09.008zbMath1248.53004OpenAlexW2019580402MaRDI QIDQ450160
Publication date: 13 September 2012
Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.joems.2011.09.008
Morse theorysingularitybutterflyatomsinformation geometrycoding theorymoleculesswallowtailcharacteristic pointscusps bifurcationimaging process
Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science) (68P30) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Computer-aided design (modeling of curves and surfaces) (65D17)
Cites Work
- Dual connections and affine geometry
- \(\alpha\)-divergence of the non-commutative information geometry
- Information geometry and statistical manifold.
- The geometry of asymptotic inference. With comments and a rejoinder by the author
- A geometric characterisation of two-parameter spatial motions with many locally one-dimen\-sional point paths
- Differential geometry of curved exponential families. Curvatures and information loss
- Self-intersection avoidance and integral properties of generalized cylinders.
- Cyclic surfaces in \(\mathbb{E}^5\) generated by equiform motions
- Differential-geometrical methods in statistics
- The Nonlinear Geometry of Linear Programming. II Legendre Transform Coordinates and Central Trajectories
- Mathematical theory of optimization
- Critical values of deformed osculating hyperruled surfaces
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