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IMAGE RECONSTRUCTION
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ALGORITHM-A SET OF RULES OR DIRECTIONS FOR GETTING SPECIFIC OUTPUT FROM SPECIFIC INPUT
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ALGORITHM MUST TERMINATE AFTER FINATE NUMBER OF STEPS
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CONVOLUTION WITH FILTER
DETECTORS PRE-PROCESING REFORMATTED RAW DATA CONVOLUTION WITH FILTER IMAGE RECONSTRUCTION ALGORITHM IMAGE: STORAGE DISPLAY RECORDING ARCHIVING RECONSTRUCTED IMAGE
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IMAGE RECONSTRUCTION PERFORMED BY:
ARRAY PROCESSOR OR PROCESSORS
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RECONSTRUCTION WHEN ONE OR MORE TECHNICAL FACTORS ARE MODIFIED IS CALLED:
RETROSPECTIVE RECONSTRUCTION
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FACTORS THAT CAN BE CHANGED DURING RECONSTRUCTION
DFOV MATRIX SLICE THICKNESS SLICE INCREMENTATION ANGLE
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SFOV LARGE DFOV
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SFOV SMALL DFOV TARGETED (ZOOMED) RECON
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SFOV VERY SMALL DFOV TARGETED (ZOOMED) RECON
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USUALLY MATRIX IS PERMANENTLY SET AT 512 X 512
DIFFERENT MATRICES 80 X 80 512 X 512 USUALLY MATRIX IS PERMANENTLY SET AT 512 X 512
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SLICE THICKNESS RECONSTRUCTION IN DIFFERENT THICKNESS ONLY POSSIBLE IN THE MULTISLICE UNIT
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SLICE INCREMENTATION RECONSTRUCTION IN DIFFERENT SLICE INCREMENTATION POSSIBLE IN SINGLE AND MULTISLICE UNITS
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INCREMENTATION 2MM 1MM SLICE INCREMENT 2MM 4MM SLICE INCREMENT 2MM
CONTIGUOUS 50% OVERLAP 100% GAP
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SLICE vs RECONSTRUCTION INCREMENTATION
SLICE THICKNESS RECON INCREMENT IMAGE QUALITY
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TOMO ANGLE 360º TUBE
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TOMO ANGLE 180º TUBE
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TOMO ANGLE ANGLE IMAGE QUALITY
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TYPES OF DATA MEASUREMENT DATA RAW DATA CONVOLVED DATA IMAGE DATA
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PREREQUISITE FOR DATA RECONSTRUCTION
DATA AVAILABLE RAW
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MEASUREMENT DATA (SCAN DATA)
DATA THAT ARISES FROM DETECTORS. IT NEEDS TO BE PREPROCESSED TO ELIMINATE ARTIFACTS.
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RAW DATA IT’S THE RESULT OF SCAN DATA BEING PRE-PROCESSED
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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.
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MATHEMATICAL FILTER CAN ALSO BE CALLED:
KERNEL ALGORITHM PASS FILTER
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TYPES OF FILTERS SMOOTH STANDARD SHARP EXTRA SHARP
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TYPES OF FILTERS (SIEMENS)
B20 (SMOOTH) B40 (STANDARD) A80 (SHARP) A91 (VERY SHARP)
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SMOOTH SHARP
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IMAGE DATA (RECONSTRUCTED DATA)
CONVOLVED DATA THAT HAVE BEEN BACKPROJECTED INTO THE IMAGE MATRIX TO CREATE CT IMAGES DISPLAYED ON THE MONITOR.
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DETECTORS SCAN DATA RAW DATA CONVOLVED DATA DATA PREPROCESSING
CONVOLUTION CONVOLVED DATA DATA BACK PROJECTION
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BEAM GEOMETRIES AND DATA ACQUSITION
PARALLEL –SLOW FAN -FASTER
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Algorithms applicable to CT
Back projection Iterative methods Analytic methods
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BACK PROJECTION ALSO CALLED SUMMATION METHOD OR LINEAR SUPERPOSITION METHOD
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Example image of how a cube generates different projections depending on the angle of projection
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ITERATIVE ALGORITHMS SIMULTANEOUS ITERATIVE RECONSTRUCTION TECHNIQUE
ITERATIVE LEAST SQUARES TECHNIQUE ALGEBRAIC RECONSTRUCTION TECHNIQUE
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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.
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ART USED BY HOUNSFIELD IN HIS FIRST EMI BRAIN SCANNER
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BETTER THAN FILTERED BACK PROJECTION REDUCTION AND NOISE REDUCTION
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
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ANALYTIC RECONSTRUCTION ALGORITHMS
FOURIER RECONSTRUCTION FILTERED BACK PROJECTION USED IN MODERN CT SCANNERS
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FILTERED BACK-PROJECTION CONVOLUTION METHOD
PROJECTION PROFILE IS FILTERED OR CONVOLVED TO REMOVE THE TYPICAL STAR LIKE BLURRING THAT IS CHARACTERISTIC OF THE SIMPLE BACK PROJECTION.
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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
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FOURIER RECONSTRUCTION
USED IN MRI NOT USED IN CT BECAUSE OF COMPLICATED MATHEMATICS
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ALGORITHM (FILTER) vs NOISE
DETAIL HIGH PASS FILTER SHARP EDGE-ENHANCEMENT STANDARD LOW PASS FILTER SMOOTHING NOISE
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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)
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RECONSTRUCTION IN MULTISLICE SPIRAL CT
INTERLACED SAMPLING LONGITUDINAL INTERPOLATION FAN BEAM RECONSTRUCTION
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RECONSTRUCTION ALGORITHM COMPARISON
ANALYTIC METHODS ARE FASTER THAN ITERATIVE ALGORITHMS. FILTERED BACK PROJECTION IS USED IN MODERN CT SCANNERS ITERETIVE METHODS ARE BETTER THAN FILTERED BACK PROJECTION IN METAL ARTIFACT REDUCTION AND NOISE REDUCTION
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MPR MULTIPLANAR RECONSTRUCTION (REFORMATTING)
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IT USES DATA IMAGE
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STACKS OF IMAGES ONLY IN ONE PLANE CAN BE USED FOR ONE TYPE OF MPR DIFFERENT PLANE IMAGES CAN NOT BE COMBINED
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ONLY IMAGES IN ONE PLANE CAN BE COMBINED!
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CURVED MPR
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FOR BEST QUALITY IMAGES
USE VOLUMETRIC DATA ACQUSITION RECON YOUR ORIGINAL THICKER SLICES INTO VERY THIN SLICES (2mm OR 1 mm) SELECT RECON INCREMENT THAT WOULD CREATE AT LEAST 50% OVERLAP BETWEEN SLICES EXAMPLE: 2 MM SLICE THICKNESS 1 MM SLICE INCREMENT
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STAIRCASE ARTIFACT
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3-D
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EXTRUSION IS A MODELING TECHNIQUE THAT GENERATES A 3-D OBJECT FROM A 2 –D PROFILE ON THE COMPUTER SCREEN. IT USES IMAGE DATA TO BUILD 3-D OBJECT
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EXTRUSION
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PIXEL AREA B A A= WIDTH B= HEIGTH AREA OF THE PIXEL = A x B
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VOXEL VOLUME B A C A= WIDTH B= HEIGTH C-DEPTH (SLICE THICKNESS)
VOLUME OF THE VOXEL = A x B x C
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DATA ACQUSITION FOR 3-D CONVENTIONAL SLICE BY SLICE
VOLUME DATA ACQUSITION
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PROBLEMS WITH CONVENTIONAL SLICE BY SLICE ACQUISITION IN 3-D GENERATION
MOTION - STAIR-STEP ARTIFACT MIREGISTRATION
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STAIR-STEP ARTIFACT
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SEVERE STAIR-STEP ARTIFACT
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PROCESSING FOR 3-D SEGMENTATION TRESHOLDING OBJECT DELINEATION
RENDERING
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SEGMENTATION PROCESSING TECHNIQUE USED TO IDENTIFY THE STRUCTURE OF INTEREST IN A GIVEN IMAGE. IT DETERMINES WHICH VOXEL ARE PART OF THE OBJECT AND SHOULD BE DISPLAYED AND WHICH ARE NOT AND SHOULD BE DISCARDED.
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SEGMENTATION
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THRESHOLDING METHOD OF CLASSIFYING THE TYPES OF TISSUES REPRESENTED BY EACH OF THE VOXELS. CT NUMBER IS USED TO DETERMINE THIS.
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TRESHOLDING (IN SEGMENTATION)
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DELINEATION BOUNDARY EXTRACTION VOLUME EXTRACTION
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DELINEATION
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RENDERING TECHNIQUES SURFACE RENDERING – SHADED SURFACE DISPLAY (SSD)
VOLUME RENDERING
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SURFACE RENDERING-SSD
SIMPLER OF THE TWO METHODS. DISPLAYS THE IMAGE ACCORDING TO ITS CALCULATIONS OF HOW THE LIGHT RAYS WOULD BE REFLECTED TO THE VIEWERS EYES. COMPUTER CREATES INTERNAL REPRESENTATION OF SURFACES
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ADVANTAGE OF SSD NOT MUCH COMPUTING POWER REQUIRED
ONLY CONTOUR IS USED
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DISADVANTAGES OF SSD INFO OF STRUCTURES INSIDE OR BEHIND THE SURFACE IS NOT DISPLAYED!!
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VOLUME RENDERING SOPHISTICATED TECHNIQUE. 3-D IMAGES HAVE BETTER QUALITY THAN IN SURFACE RENDERING. USES ENTIRE DATA SET FROM 3-D SPACE. IT REQUIRES MORE COMPUTING POWER.
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ADVANTAGES OF VOLUME RENDERING (VR)
UNLIKE SSD, VOLUME RENDERING ALLOWS SEEING THROUGH SURFACES. IT ALLOWS THE VIEWER TO SEE BOTH INTERNAL AND EXTERNAL STRUCTURES.
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DISADVANTAGE/S IT REQUIRES GREAT COMPUTING POWER – SOPHISTICATED COMPUTER EQUIPMENT
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MAXIMUM INTENSITY PROJECTION
VOLUME RENDERING 3-D TECHNIQUE THAT IS NOW FREQUENTLY USED IN CTA ( CT ANGIO) IT USES LESS THAN 10% OF DATA IN 3-D SPACE. IT DOES NOT NEED SOPHISTICATED COMPUTING. IT ORIGINATED IN MRA
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MIP ALLOWS ONLY THE VOXEL WITH THE BRIGHTEST VALUE TO BE SELECTED
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VR vs MIP
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ADVANTAGES OF MIP NO NEED FOR SOPHISTICATED COMPUTER HARDWARE- IT USES LESS THAN 10% OF DATA
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DISADVANTAGE/S OF MIP ARTIFACT- STRING OF BEADS
NO SUPERIMPOSED STRUCTURES DEMONSTRATION
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ARTIFACTS SSD – MANY FALSE SURFACES MIP – MIP ARTIFACT VR - FEW
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