Digital shapes, digital boundaries and rigid transformations: A topological discussion

Yukiko Kenmochi; Phuc Ngo; Nicolas Passat; Hugues Talbot

doi:10.5802/acirm.68

Digital shapes, digital boundaries and rigid transformations: A topological discussion

Actes des rencontres du CIRM ◽

10.5802/acirm.68 ◽

2013 ◽

Vol 3 (1) ◽

pp. 195-201

Author(s):

Yukiko Kenmochi ◽

Phuc Ngo ◽

Nicolas Passat ◽

Hugues Talbot

Keyword(s):

Rigid Transformations ◽

Digital Shapes

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Regression of 3D rigid transformations on real-valued vectors in closed form

2017 IEEE International Conference on Robotics and Automation (ICRA) ◽

10.1109/icra.2017.7989757 ◽

2017 ◽

Cited By ~ 2

Author(s):

Takuya Funatomi ◽

Masaaki Iiyama ◽

Koh Kakusho ◽

Michihiko Minoh

Keyword(s):

Closed Form ◽

Rigid Transformations

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Perceiving Biological Growth and Other Non-Rigid Transformations

Journal of Vision ◽

10.1167/16.12.949 ◽

2016 ◽

Vol 16 (12) ◽

pp. 949

Author(s):

Filipp Schmidt ◽

Roland Fleming

Keyword(s):

Biological Growth ◽

Rigid Transformations

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Feature-Based Non-rigid Registration of Serial Section Images by Blending Rigid Transformations

2017 4th IAPR Asian Conference on Pattern Recognition (ACPR) ◽

10.1109/acpr.2017.107 ◽

2017 ◽

Author(s):

Takehiro Kajihara ◽

Takuya Funatomi ◽

Hiroyuki Kubo ◽

Takahito Aoto ◽

Haruyuki Makishima ◽

...

Keyword(s):

Serial Section ◽

Rigid Registration ◽

Feature Based ◽

Rigid Transformations

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HAMILTONIAN FORMALISM FOR BLACK HOLES AND QUANTIZATION II

International Journal of Modern Physics D ◽

10.1142/s0218271896000163 ◽

1996 ◽

Vol 05 (03) ◽

pp. 227-250 ◽

Cited By ~ 34

Author(s):

MARCO CAVAGLIÀ ◽

VITTORIO DE ALFARO ◽

ALEXANDRE T. FILIPPOV

Keyword(s):

Hilbert Space ◽

Black Holes ◽

Black Hole ◽

Invariant Measure ◽

Hamiltonian Formalism ◽

Quantization Method ◽

Schwarzschild Black Hole ◽

Canonical Formulation ◽

Gauge Fixing ◽

Rigid Transformations

We quantize by the Dirac-Wheeler-DeWitt method the canonical formulation of the Schwarzschild black hole developed in a previous paper. We investigate the properties of the operators that generate rigid symmetries of the Hamiltonian, establish the form of the invariant measure under the rigid transformations, and determine the gauge fixed Hilbert space of states. We also prove that the reduced quantization method leads to the same Hilbert space for a suitable gauge fixing.

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