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Image Acquisition, Reconstruction, and Presentation   for 3-D Computer Tomography (CT)  

electron beam failure analysis   interventional angiography   cryo em   failure analysis   interventional angiography   TEM numerical quantitative statistical   quantum efficient   diagnostic residuals Bayes Bayesian   Kalman filter density estimates x-ray failure analysis medical systems MRI SPECT microanalysis TEM   medical systems technologies
SIRT ART MENT Maximum Entropy MAP Maximum A Posteriori ML Maximum Likelihood

Cyber Technology, Inc.

projection fast limited scan view reconstruction nonlinear iterative constrained inversion
matrix-based relaxation system A Woman Owned Small Business

cardiac cardiovascular electron microscopy dose reduction optimization clinical radiology ct scan

Applications of enhanced High Efficiency Computed Tomography

with Optimized Recursions (eHECTOR

Prototype implemented at Federal Laboratory for CERNS's TIGRE software (2017)

Nonlinear Iterative Reconstruction Time: Approaching linear Filtered Backprojection or FFT Methods

1. Reduce projection count, exposure time, and radiation level many-fold

2. Increase quantitative accuracy and reduce computing time by
one to two orders of magnitude,

close to linear FBP and FFT methods

3. Use a-priori information

eHECTOR is the Solution to Highest Numerical and Quantum Efficiency in Tomography   [1]

using Highly Contractive Mappings, related to Near-Orthogonal Updates
for X-Ray, TEM, CS MRI, and other imaging modalities


for the latest eHECTOR implementation at a Federal Laboratory please contact us re:
JCCT, Vol. 11, 2017: Convergence of Non-Linear Iterative CT Reconstruction



from: White Paper (PDF)
Log-Transformation (PDF)
Efficient Dose Utilization (PDF)

1 Patent Pending
Patents:  US: 8,660,328, 8,660,330; CN: ZL 200980123522.8  
  JP: 5543448
; PCT: EP2310840: with others pending


Quantum Dots from 71 Projections

Quantum Dots: HECTOR for HAADF-STEM Imaging with 71 projections and only 3 high resolution iterations
Reconstruction from 1280 x 1280 pixel projections in a 2 Giga-voxel space

Top vs. bottom row: two near-orthogonal views of ErSi2 catalyst. Columns from left to right: (a) original projections;
 (b) re-projection of estimated object density; (c) residual error; and (d) optimizing gain relaxation matrix.
Data kindly provided by Christian Kuebel of Karlsruhe Institute of Technology (KIT), Germany.

numerical phantom, full, 2005 numerical phantom, stenosis #1 hydraulic phantom, 2003, 6 views hydraulic phantom, 2003, 6 views, 125 deg

Numerical Coronary Tree Model
with Stenotic Plaque
Projection simulation and
reconstruction at CTI

Stenosis of the Tree Model with
HECT from Six Projections
Projection simulation and
reconstruction at
Hydraulic Coronary Model with
HECT from Six Projections
Data collected at Johns Hopkins
University, Department of

Hydraulic Coronary Model with
HECT from Six Projections
Data collected at Johns Hopkins
University, Department of

Myocardial blush, canine, 1993
Canine Myocardial Blush over 1.5 Beats
from Six Projective Cone Beam Views
(X-Rays, HECT)
Data recorded at Wayne State
University, Detroit, MI
support by NIH SBIR grant
Spiroplasma Melliferum, 2008
Slice from Transmission
Electron Microscopy (HECT)
Data provided by NIBIB / NIH
Diagnostic Residuals, 2008
Diagnostic Projection Residuals:
Left: SIRT 15 iterations,  
Right: HECT 1 iteration

for Noisy Cube Challenge Data Set
provided by NIBIB / NIH
HECT reconstruction, challenge set, 1 iteration
HECT of Noisy Cube
Challenge Data Set

Data provided by NIBIB / NIH


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Last Updated  2012-02-17
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