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US 11,304,661 B2Granted
Enhanced imaging devices, and image construction methods and processes employing hermetic transforms
AssigneeVertoCOMM, Inc.
InventorsHarvey C. Woodsum, Christopher M. Woodsum
Life of this patent
Estimating the term…
Abstract
In an exemplary embodiment, a tomography device comprises a scanner that obtains image slices. The device additionally comprises at least one processor configured to: perform a Hermetic Transform on the image slices to obtain hermetically transformed data using; filter and perform an Inverse Hermetic Transform on the Hermetic Transform data to obtain filtered inverse Hermetic Transform data; and perform back projection and angle integration on the filtered inverse Hermetic Transform data.
Claims37
A tomography device comprising:
- a scanner that obtains at least one image slice of an object, the at least one image slice comprising oversampled image data;
- and
- at least one processor configured to:
- perform Hermetic Transform Tomography comprising calculating a robust Hermetic Transform on the at least one image slice to obtain hermetically transformed data, the robust Hermetic Transform comprising solutions to a Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition according to the following equations:
- ΣHΩσ=ρ;
- (a)
- H=ΣKΩ;
- and (b)
- σ=[(Σ+N1)(Σ+N2) . . . ];
- (c)
- filter and perform an inverse operation comprising a pseudo-inverse of a robust Inverse Hermetic Transform using the Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition on the Hermetic Transform data to obtain filtered inverse Hermetic Transform data;
- and
- perform back projection and angle integration on the filtered inverse Hermetic Transform data to produce a three-dimensional image of the object.
10 more elements
A method of obtaining a tomographic image comprising:
- obtaining at least one image slice of an object, the at least one image slice comprising oversampled image data;
- performing Hermetic Transform Tomography comprising calculating a robust Hermetic Transform on the at least one image slice to obtain hermetically transformed data, the robust Hermetic Transform comprising solutions to a Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition according to the following equations:
- ΣHΩσ=ρ;
- (a)
- H=ΣKΩ;
- and (b)
- σ=[(Σ+N1)(Σ+N2) . . . ];
- (c)
- filtering and performing an inverse operation comprising a pseudo-inverse of a robust Inverse Hermetic Transform using the Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition on the Hermetic Transform data to obtain filtered inverse Hermetic Transform data;
- and
- performing back projection and angle integration on the filtered inverse Hermetic Transform data to produce a three-dimensional image of the object.
8 more elements
A measuring device comprising:
- a scanner that obtains at least one signal parameter, the at least one signal parameter comprising oversampled signal data;
- and
- at least one processor configured to perform a robust Hermetic Transform on the at least one signal parameter to obtain a measurement associated with the signal parameter, the robust Hermetic Transform comprising solutions to a Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition according to the following equations:
- ΣHΩσ=ρ;
- (a)
- H=ΣKΩ;
- and (b)
- σ=[(Σ+N1)(Σ+N2) . . . ]. (c)
5 more elements
A method of measuring signal parameters comprising:
- obtaining at least one signal parameter, the at least one signal parameter comprising oversampled signal data;
- and
- performing a robust Hermetic Transform on the at least one signal parameter to obtain a measurement associated with the signal parameter, the robust Hermetic Transform comprising solutions to a Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition according to the following equations:
- ΣHΩσ=ρ;
- (a)
- H=ΣKΩ;
- and (b)
- σ=[(Σ+N1)(Σ+N2) . . . ]. (c)
5 more elements
An ultrasonic imaging device comprising:
- an ultrasonic array and beam-former that transmits an ultrasonic signal;
- an ultrasonic receiving array that receives ultrasonic echoes, the ultrasonic receiving array generating oversampled signal data based on the ultrasonic echoes;
- and
- at least one processor configured to perform a robust Hermetic Transform on the echoes to produce an image, the robust Hermetic Transform comprising solutions to a Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition according to the following equations:
- ΣHΩσ=ρ;
- (a)
- H=ΣKΩ;
- and (b)
- σ=[(Σ+N1)(Σ+N2) . . . ]. (c)
6 more elements
A method of ultrasonic imaging comprising:
- transmitting an ultrasonic signal;
- receiving ultrasonic echoes, wherein receiving the ultrasonic echoes comprises generating oversampled signal data based on the ultrasonic echoes;
- and
- performing a robust Hermetic Transform on the echoes to produce an image, the robust Hermetic Transform comprising solutions to a Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition according to the following equations:
- ΣHΩσ=ρ;
- (a)
- H=ΣKΩ;
- and (b)
- σ=[(Σ+N1)(Σ+N2) . . . ]. (c)
6 more elements
An imaging device comprising:
- a scanner having a receiver array that generates oversampled image data, the receiver array being associated with a plurality of channels;
- and
- at least one processor configured to apply Hermetic Matched Filtering based on a robust Hermetic Transform to each channel of the plurality of channels and create beams for additional spatial filtering and signal separation via a time-delay beamforming approach to produce an image, the robust Hermetic Transform comprising solutions to a Moore-Penrose Pseudo-Inverse performed with a Singular Value Decomposition according to the following equations:
- ΣHΩσ=ρ;
- (a)
- H=ΣKΩ;
- and (b)
- σ=[(Σ+N1)(Σ+N2) . . . ]. (c)
5 more elements
An imaging method comprising apply a Hermetic Matched Filtering to each channel of a receiver array and creating beams for additional spatial filtering and signal separation via a time-delay beamforming approach to produce an image.
Dependencies are inferred from the claim text.