diff options
Diffstat (limited to 'src/Core/regularisers_CPU/FGP_dTV_core.c')
-rw-r--r-- | src/Core/regularisers_CPU/FGP_dTV_core.c | 141 |
1 files changed, 38 insertions, 103 deletions
diff --git a/src/Core/regularisers_CPU/FGP_dTV_core.c b/src/Core/regularisers_CPU/FGP_dTV_core.c index afd7264..e828be6 100644 --- a/src/Core/regularisers_CPU/FGP_dTV_core.c +++ b/src/Core/regularisers_CPU/FGP_dTV_core.c @@ -52,11 +52,11 @@ float dTV_FGP_CPU_main(float *Input, float *InputRef, float *Output, float *info float tk = 1.0f; float tkp1=1.0f; int count = 0; - - + + float *Output_prev=NULL, *P1=NULL, *P2=NULL, *P1_prev=NULL, *P2_prev=NULL, *R1=NULL, *R2=NULL, *InputRef_x=NULL, *InputRef_y=NULL; DimTotal = (long)(dimX*dimY*dimZ); - + if (epsil != 0.0f) Output_prev = calloc(DimTotal, sizeof(float)); P1 = calloc(DimTotal, sizeof(float)); P2 = calloc(DimTotal, sizeof(float)); @@ -66,39 +66,39 @@ float dTV_FGP_CPU_main(float *Input, float *InputRef, float *Output, float *info R2 = calloc(DimTotal, sizeof(float)); InputRef_x = calloc(DimTotal, sizeof(float)); InputRef_y = calloc(DimTotal, sizeof(float)); - + if (dimZ <= 1) { /*2D case */ /* calculate gradient field (smoothed) for the reference image */ GradNorm_func2D(InputRef, InputRef_x, InputRef_y, eta, (long)(dimX), (long)(dimY)); - + /* begin iterations */ for(ll=0; ll<iterationsNumb; ll++) { - + if ((epsil != 0.0f) && (ll % 5 == 0)) copyIm(Output, Output_prev, (long)(dimX), (long)(dimY), 1l); /*projects a 2D vector field R-1,2 onto the orthogonal complement of another 2D vector field InputRef_xy*/ ProjectVect_func2D(R1, R2, InputRef_x, InputRef_y, (long)(dimX), (long)(dimY)); - + /* computing the gradient of the objective function */ Obj_dfunc2D(Input, Output, R1, R2, lambdaPar, (long)(dimX), (long)(dimY)); - + /* apply nonnegativity */ if (nonneg == 1) for(j=0; j<DimTotal; j++) {if (Output[j] < 0.0f) Output[j] = 0.0f;} - + /*Taking a step towards minus of the gradient*/ Grad_dfunc2D(P1, P2, Output, R1, R2, InputRef_x, InputRef_y, lambdaPar, (long)(dimX), (long)(dimY)); - + /* projection step */ - Proj_dfunc2D(P1, P2, methodTV, DimTotal); - + Proj_func2D(P1, P2, methodTV, DimTotal); + /*updating R and t*/ tkp1 = (1.0f + sqrt(1.0f + 4.0f*tk*tk))*0.5f; Rupd_dfunc2D(P1, P1_prev, P2, P2_prev, R1, R2, tkp1, tk, DimTotal); - + copyIm(P1, P1_prev, (long)(dimX), (long)(dimY), 1l); copyIm(P2, P2_prev, (long)(dimX), (long)(dimY), 1l); tk = tkp1; - + /* check early stopping criteria */ if ((epsil != 0.0f) && (ll % 5 == 0)) { re = 0.0f; re1 = 0.0f; @@ -116,45 +116,45 @@ float dTV_FGP_CPU_main(float *Input, float *InputRef, float *Output, float *info else { /*3D case*/ float *P3=NULL, *P3_prev=NULL, *R3=NULL, *InputRef_z=NULL; - + P3 = calloc(DimTotal, sizeof(float)); P3_prev = calloc(DimTotal, sizeof(float)); R3 = calloc(DimTotal, sizeof(float)); InputRef_z = calloc(DimTotal, sizeof(float)); - + /* calculate gradient field (smoothed) for the reference volume */ GradNorm_func3D(InputRef, InputRef_x, InputRef_y, InputRef_z, eta, (long)(dimX), (long)(dimY), (long)(dimZ)); - + /* begin iterations */ for(ll=0; ll<iterationsNumb; ll++) { - + if ((epsil != 0.0f) && (ll % 5 == 0)) copyIm(Output, Output_prev, (long)(dimX), (long)(dimY), (long)(dimZ)); - + /*projects a 3D vector field R-1,2,3 onto the orthogonal complement of another 3D vector field InputRef_xyz*/ ProjectVect_func3D(R1, R2, R3, InputRef_x, InputRef_y, InputRef_z, (long)(dimX), (long)(dimY), (long)(dimZ)); - + /* computing the gradient of the objective function */ Obj_dfunc3D(Input, Output, R1, R2, R3, lambdaPar, (long)(dimX), (long)(dimY), (long)(dimZ)); - + /* apply nonnegativity */ if (nonneg == 1) for(j=0; j<DimTotal; j++) {if (Output[j] < 0.0f) Output[j] = 0.0f;} - + /*Taking a step towards minus of the gradient*/ Grad_dfunc3D(P1, P2, P3, Output, R1, R2, R3, InputRef_x, InputRef_y, InputRef_z, lambdaPar, (long)(dimX), (long)(dimY), (long)(dimZ)); - + /* projection step */ - Proj_dfunc3D(P1, P2, P3, methodTV, DimTotal); - + Proj_func3D(P1, P2, P3, methodTV, DimTotal); + /*updating R and t*/ tkp1 = (1.0f + sqrt(1.0f + 4.0f*tk*tk))*0.5f; Rupd_dfunc3D(P1, P1_prev, P2, P2_prev, P3, P3_prev, R1, R2, R3, tkp1, tk, DimTotal); - + /*storing old values*/ copyIm(P1, P1_prev, (long)(dimX), (long)(dimY), (long)(dimZ)); copyIm(P2, P2_prev, (long)(dimX), (long)(dimY), (long)(dimZ)); copyIm(P3, P3_prev, (long)(dimX), (long)(dimY), (long)(dimZ)); tk = tkp1; - + /* check early stopping criteria */ if ((epsil != 0.0f) && (ll % 5 == 0)) { re = 0.0f; re1 = 0.0f; @@ -168,16 +168,16 @@ float dTV_FGP_CPU_main(float *Input, float *InputRef, float *Output, float *info if (count > 3) break; } } - + free(P3); free(P3_prev); free(R3); free(InputRef_z); } if (epsil != 0.0f) free(Output_prev); free(P1); free(P2); free(P1_prev); free(P2_prev); free(R1); free(R2); free(InputRef_x); free(InputRef_y); - + /*adding info into info_vector */ infovector[0] = (float)(ll); /*iterations number (if stopped earlier based on tolerance)*/ infovector[1] = re; /* reached tolerance */ - + return 0; } @@ -185,7 +185,6 @@ float dTV_FGP_CPU_main(float *Input, float *InputRef, float *Output, float *info /********************************************************************/ /***************************2D Functions*****************************/ /********************************************************************/ - float GradNorm_func2D(float *B, float *B_x, float *B_y, float eta, long dimX, long dimY) { long i,j,index; @@ -249,47 +248,17 @@ float Grad_dfunc2D(float *P1, float *P2, float *D, float *R1, float *R2, float * /* boundary conditions */ if (i == dimX-1) val1 = 0.0f; else val1 = D[index] - D[j*dimX + (i+1)]; if (j == dimY-1) val2 = 0.0f; else val2 = D[index] - D[(j+1)*dimX + i]; - + in_prod = val1*B_x[index] + val2*B_y[index]; /* calculate inner product */ val1 = val1 - in_prod*B_x[index]; val2 = val2 - in_prod*B_y[index]; - + P1[index] = R1[index] + multip*val1; P2[index] = R2[index] + multip*val2; - + }} return 1; } -float Proj_dfunc2D(float *P1, float *P2, int methTV, long DimTotal) -{ - float val1, val2, denom, sq_denom; - long i; - if (methTV == 0) { - /* isotropic TV*/ -#pragma omp parallel for shared(P1,P2) private(i,denom,sq_denom) - for(i=0; i<DimTotal; i++) { - denom = powf(P1[i],2) + powf(P2[i],2); - if (denom > 1.0f) { - sq_denom = 1.0f/sqrtf(denom); - P1[i] = P1[i]*sq_denom; - P2[i] = P2[i]*sq_denom; - } - } - } - else { - /* anisotropic TV*/ -#pragma omp parallel for shared(P1,P2) private(i,val1,val2) - for(i=0; i<DimTotal; i++) { - val1 = fabs(P1[i]); - val2 = fabs(P2[i]); - if (val1 < 1.0f) {val1 = 1.0f;} - if (val2 < 1.0f) {val2 = 1.0f;} - P1[i] = P1[i]/val1; - P2[i] = P2[i]/val2; - } - } - return 1; -} float Rupd_dfunc2D(float *P1, float *P1_old, float *P2, float *P2_old, float *R1, float *R2, float tkp1, float tk, long DimTotal) { long i; @@ -314,14 +283,14 @@ float GradNorm_func3D(float *B, float *B_x, float *B_y, float *B_z, float eta, l for(k=0; k<dimZ; k++) { for(j=0; j<dimY; j++) { for(i=0; i<dimX; i++) { - + index = (dimX*dimY)*k + j*dimX+i; - + /* zero boundary conditions */ if (i == dimX-1) {val1 = 0.0f;} else {val1 = B[(dimX*dimY)*k + j*dimX+(i+1)];} if (j == dimY-1) {val2 = 0.0f;} else {val2 = B[(dimX*dimY)*k + (j+1)*dimX+i];} if (k == dimZ-1) {val3 = 0.0f;} else {val3 = B[(dimX*dimY)*(k+1) + (j)*dimX+i];} - + gradX = val1 - B[index]; gradY = val2 - B[index]; gradZ = val3 - B[index]; @@ -382,52 +351,18 @@ float Grad_dfunc3D(float *P1, float *P2, float *P3, float *D, float *R1, float * if (i == dimX-1) val1 = 0.0f; else val1 = D[index] - D[(dimX*dimY)*k + j*dimX + (i+1)]; if (j == dimY-1) val2 = 0.0f; else val2 = D[index] - D[(dimX*dimY)*k + (j+1)*dimX + i]; if (k == dimZ-1) val3 = 0.0f; else val3 = D[index] - D[(dimX*dimY)*(k+1) + j*dimX + i]; - + in_prod = val1*B_x[index] + val2*B_y[index] + val3*B_z[index]; /* calculate inner product */ val1 = val1 - in_prod*B_x[index]; val2 = val2 - in_prod*B_y[index]; val3 = val3 - in_prod*B_z[index]; - + P1[index] = R1[index] + multip*val1; P2[index] = R2[index] + multip*val2; P3[index] = R3[index] + multip*val3; }}} return 1; } -float Proj_dfunc3D(float *P1, float *P2, float *P3, int methTV, long DimTotal) -{ - float val1, val2, val3, denom, sq_denom; - long i; - if (methTV == 0) { - /* isotropic TV*/ -#pragma omp parallel for shared(P1,P2,P3) private(i,val1,val2,val3,sq_denom) - for(i=0; i<DimTotal; i++) { - denom = powf(P1[i],2) + powf(P2[i],2) + powf(P3[i],2); - if (denom > 1.0f) { - sq_denom = 1.0f/sqrtf(denom); - P1[i] = P1[i]*sq_denom; - P2[i] = P2[i]*sq_denom; - P3[i] = P3[i]*sq_denom; - } - } - } - else { - /* anisotropic TV*/ -#pragma omp parallel for shared(P1,P2,P3) private(i,val1,val2,val3) - for(i=0; i<DimTotal; i++) { - val1 = fabs(P1[i]); - val2 = fabs(P2[i]); - val3 = fabs(P3[i]); - if (val1 < 1.0f) {val1 = 1.0f;} - if (val2 < 1.0f) {val2 = 1.0f;} - if (val3 < 1.0f) {val3 = 1.0f;} - P1[i] = P1[i]/val1; - P2[i] = P2[i]/val2; - P3[i] = P3[i]/val3; - } - } - return 1; -} float Rupd_dfunc3D(float *P1, float *P1_old, float *P2, float *P2_old, float *P3, float *P3_old, float *R1, float *R2, float *R3, float tkp1, float tk, long DimTotal) { long i; |