Title:

Novel Methods for the Visualization and Analysis of Functional Maps in Cortex

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ISBN: 383540198X   ISBN: 383540198X   ISBN: 383540198X   ISBN: 383540198X 
 
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  XI List of Equations EQUATION 1: TEMPLATE IMAGE AND REFERENCE IMAGE ................................................................ 72 EQUATION 2: TRANSFORMATION OF TEMPLATE .............................................................................. 72 EQUATION 3: DEFORMATION  AND DISPLACEMENT FIELD ............................................................... 73 EQUATION 4: BILINEAR SPLINE-BASIS FUNCTIONS AT CONTROL POINT LOCATIONS.......................... 78 EQUATION 5: CALCULATION  U AND V FROM CU AND CV THROUGH LINEAR COMBINATION ............. 78 EQUATION 6: DEFORMATION OF TEMPLATE..................................................................................... 81 EQUATION 7: MATLAB FUNCTION INTERP2................................................................................... 81 EQUATION 8: WARPING IN MATLAB WITH THE FULL DISPLACEMENT FIELDS ................................ 81 EQUATION 9: DEFORMATION ENERGY ............................................................................................ 85 EQUATION 10: DISTANCE FROM CONTROL POINT ............................................................................ 88 EQUATION 11: FUNCTIONAL AND REGULARIZATION TERM.............................................................. 97 EQUATION 12: NAVIER-LAME EQUATION........................................................................................ 98 EQUATION 13: INITIALIZATION...................................................................................................... 100 EQUATION 14: FORCE ................................................................................................................... 100 EQUATION 15: FINITE DIFFERENCE APPROXIMATION ..................................................................... 100 EQUATION 16: UPDATE DISPLACEMENT FIELD U............................................................................ 100 EQUATION 17: ROIS IMAGES ........................................................................................................ 101 EQUATION 18: ROIS IMAGES FOR QUALITY CALCULATEION ........................................................ 103 EQUATION 19: QUALITY ............................................................................................................... 103 EQUATION 20: SGN........................................................................................................................ 103 EQUATION 21: ABS........................................................................................................................ 104 EQUATION 22: INPUT ARGUMENT “MODE” FOR VCALCULATEENERGY FUNCTION......................... 115 EQUATION 23: CALCULATION OF COMPLEX PHASE DIFFERENCE MATRIX IN COMPLEX SPACE ........ 117 EQUATION 24: CALCULATION OF REAL PHASE DIFFERENCE MATRIX WITH SQUARED ENTRIES ....... 117 EQUATION 25: COMPLEX VALUE................................................................................................... 142 EQUATION 26: RANDOM NUMBER FROM NORMAL DISTRIBUTION .................................................. 148 EQUATION 27: EUCLIDEAN DISTANCE .......................................................................................... 150
  
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