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IMAGE RECONSTRUCTION. ALGORITHM -A SET OF RULES OR DIRECTIONS FOR GETTING SPECIFIC OUTPUT FROM SPECIFIC INPUT. ALGORITHM MUST TERMINATE AFTER FINATE NUMBER OF STEPS . DETECTORS. PRE-PROCESING. REFORMATTED RAW DATA. CONVOLUTION WITH FILTER. IMAGE RECONSTRUCTION ALGORITHM. IMAGE: STORAGE
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ALGORITHM-A SET OF RULES OR DIRECTIONS FOR GETTING SPECIFIC OUTPUT FROM SPECIFIC INPUT
DETECTORS PRE-PROCESING REFORMATTED RAW DATA CONVOLUTION WITH FILTER IMAGE RECONSTRUCTION ALGORITHM IMAGE: STORAGE DISPLAY RECORDING ARCHIVING RECONSTRUCTED IMAGE
IMAGE RECONSTRUCTION PERFORMED BY: • ARRAY PROCESSOR OR PROCESSORS
RECONSTRUCTION WHEN ONE OR MORE TECHNICAL FACTORS ARE MODIFIED IS CALLED: • RETROSPECTIVE RECONSTRUCTION
FACTORS THAT CAN BE CHANGED DURING RECONSTRUCTION • DFOV • MATRIX • SLICE THICKNESS • SLICE INCREMENTATION • ANGLE
SFOV SMALL DFOV TARGETED (ZOOMED) RECON
DIFFERENT MATRICES 80 X 80 512 X 512 USUALLY MATRIX IS PERMANENTLY SET AT 512 X 512
SLICE THICKNESS • RECONSTRUCTION IN DIFFERENT THICKNESS ONLY POSSIBLE IN THE MULTISLICE UNIT
SLICE INCREMENTATION • RECONSTRUCTION IN DIFFERENT SLICE INCREMENTATION POSSIBLE IN SINGLE AND MULTISLICE UNITS
2MM 2MM 2MM SLICE SLICE SLICE 2MM 1MM 4MM INCREMENT INCREMENT INCREMENT INCREMENTATION CONTIGUOUS 50% OVERLAP 100% GAP
SLICE THICKNESS RECON INCREMENT IMAGE QUALITY IMAGE QUALITY SLICE vs RECONSTRUCTIONINCREMENTATION
TOMO ANGLE 360º TUBE
TOMO ANGLE 180º TUBE
TOMO ANGLE • ANGLE IMAGE QUALITY
TYPES OF DATA • MEASUREMENT DATA • RAW DATA • CONVOLVED DATA • IMAGE DATA
PREREQUISITE FOR DATA RECONSTRUCTION • DATA AVAILABLE RAW
MEASUREMENT DATA(SCAN DATA) • DATA THAT ARISES FROM DETECTORS. IT NEEDS TO BE PREPROCESSED TO ELIMINATE ARTIFACTS.
RAW DATA • IT’S THE RESULT OF SCAN DATA BEING PRE-PROCESSED
CONVOLVED DATA • FILTERED BACKPROJECTION IS THE ALGORITHM USED BY MODERN CT. • IT REQUIRES FILTERING AND THEN BACKPROJECTION. RAW DATA IS FILTERED USING MATHEMATICAL FILTER.(CONVOLUTION) • IT REMOVES BLURR. CONVOLUTION CAN ONLY BE APPLIED TO RAW DATA.
MATHEMATICAL FILTER CAN ALSO BE CALLED: • KERNEL • ALGORITHM • PASS FILTER
TYPES OF FILTERS • SMOOTH • STANDARD • SHARP • EXTRA SHARP
TYPES OF FILTERS (SIEMENS) • B20 (SMOOTH) • B40 (STANDARD) • A80 (SHARP) • A91 (VERY SHARP)
SMOOTH SHARP
IMAGE DATA(RECONSTRUCTED DATA) • CONVOLVED DATA THAT HAVE BEEN BACKPROJECTED INTO THE IMAGE MATRIX TO CREATE CT IMAGES DISPLAYED ON THE MONITOR.
DETECTORS PREPROCESSING SCAN DATA RAW DATA CONVOLUTION CONVOLVED DATA DATA BACK PROJECTION
BEAM GEOMETRIES AND DATA ACQUSITION • PARALLEL –SLOW • FAN -FASTER
Algorithms applicable to CT Back projection Iterative methods Analytic methods
BACK PROJECTION • ALSO CALLED SUMMATION METHOD OR LINEAR SUPERPOSITION METHOD
Example image of how a cube generates different projections depending on the angle of projection
ITERATIVE ALGORITHMS • SIMULTANEOUS ITERATIVE RECONSTRUCTION TECHNIQUE • ITERATIVE LEAST SQUARES TECHNIQUE • ALGEBRAIC RECONSTRUCTION TECHNIQUE
ITERATIVE RECON DEFINITION • IT STARTS WITH ASSUMPTION AND COMPARES THIS ASSUMPTION WITH A MEASURED VALUE, MAKES CORRECTIONS TO BRING THE TWO VALUES IN AGREEMENT. THIS PROCESS REPEATS OVER AND OVER.
ITERATIVE TECHNIQUES ARE NOT USED IN TODAY’S COMMERCIAL SCANNERS THEY ARE VERY SLOW BETTER THAN FILTERED BACK PROJECTION IN METAL ARTIFACT REDUCTION AND NOISE REDUCTION
ANALYTIC RECONSTRUCTION ALGORITHMS • FOURIER RECONSTRUCTION • FILTERED BACK PROJECTION USED IN MODERN CT SCANNERS
FILTERED BACK-PROJECTIONCONVOLUTION METHOD • PROJECTION PROFILE IS FILTERED OR CONVOLVED TO REMOVE THE TYPICAL STAR LIKE BLURRING THAT IS CHARACTERISTIC OF THE SIMPLE BACK PROJECTION.
STEPS IN FILTERED BACK PROJECTION • ALL PROJECTION PROFILES ARE OBTAINED • THE LOGARITHM OF DATA IS OBTAINED • LOGARITHMIC VALUES ARE MULTIPLIED BY DIGITAL FILTER • FILTERED PROFILES ARE BACKPROJECTED • THE FILTERED PROJECTIONS ARE SUMMED AND THE NEGATIVE AND POSITIVE COMPONENTS ARE CANCELLED
FOURIER RECONSTRUCTION • USED IN MRI • NOT USED IN CT BECAUSE OF COMPLICATED MATHEMATICS
ALGORITHM (FILTER) vs NOISE DETAIL HIGH PASS FILTER SHARP EDGE-ENHANCEMENT STANDARD LOW PASS FILTER SMOOTHING NOISE
RECONSTRUCTION IN SPIRAL CT • FILTERED BACK PROJECTION USED + INTERPOLATION BACAUSE OF THE CONTINUOUS MOVEMENT OF THE PATIENT IN THE Z-DIRECTION. ( TO ELIMINATE MOTION BLURR)