示例#1
0
 def test_13(self):
     N = 16
     Nd = 5
     Cs = 3
     M = 4
     D = np.random.randn(Nd, Nd, M)
     s = np.random.randn(N, N, Cs)
     lmbda = 1e-1
     try:
         b = cbpdn.ConvBPDNJoint(D, s, lmbda, dimK=0)
         b.solve()
     except Exception as e:
         print(e)
         assert (0)
示例#2
0
 def test_14(self):
     N = 16
     Nd = 5
     Cs = 3
     M = 4
     D = np.random.randn(Nd, Nd, M)
     s = np.random.randn(N, N, Cs)
     lmbda = 1e-1
     try:
         opt = cbpdn.ConvBPDNJoint.Options({'LinSolveCheck': True})
         b = cbpdn.ConvBPDNJoint(D, s, lmbda, opt=opt, dimK=0)
         b.solve()
     except Exception as e:
         print(e)
         assert 0
     assert np.array(b.getitstat().XSlvRelRes).max() < 1e-5
示例#3
0
 def test_15(self):
     N = 16
     Nd = 5
     K = 2
     M = 4
     D = np.random.randn(Nd, Nd, M)
     s = np.random.randn(N, N, K)
     dt = np.float32
     opt = cbpdn.ConvBPDNJoint.Options({'Verbose' : False,
                     'MaxMainIter' : 20, 'AutoRho' : {'Enabled' : True},
                     'DataType' : dt})
     lmbda = 1e-1
     mu = 1e-2
     b = cbpdn.ConvBPDNJoint(D, s, lmbda, mu, opt=opt)
     b.solve()
     assert(b.X.dtype == dt)
     assert(b.Y.dtype == dt)
     assert(b.U.dtype == dt)
示例#4
0
"""
Set :class:`.admm.cbpdn.ConvBPDNJoint` solver options.
"""

lmbda = 1e-1
mu = 1e-2
opt = cbpdn.ConvBPDNJoint.Options({'Verbose': True, 'MaxMainIter': 200,
                              'RelStopTol': 5e-3, 'AuxVarObj': False})


"""
Initialise and run CSC solver.
"""

b = cbpdn.ConvBPDNJoint(D, sh, lmbda, mu, opt, dimK=0)
X = b.solve()
print("ConvBPDNJoint solve time: %.2fs" % b.timer.elapsed('solve'))


"""
Reconstruct image from sparse representation.
"""

shr = b.reconstruct().squeeze()
imgr = sl + shr
print("Reconstruction PSNR: %.2fdB\n" % sm.psnr(img, imgr))


"""
Display low pass component and sum of absolute values of coefficient maps of highpass component.
                 zm=optd['ZeroMean'])


"""
Update D update options to include initial values for Y and U.
"""

optd.update({'Y0': cnvrep.zpad(cnvrep.stdformD(D0n, cri.Cd, cri.M), cri.Nv),
             'U0': np.zeros(cri.shpD)})


"""
Create X update object.
"""

xstep = cbpdn.ConvBPDNJoint(D0n, sh, lmbda, mu, optx)


"""
Create D update object.
"""

dstep = ccmod.ConvCnstrMOD(None, sh, D0.shape, optd, method='ism')


"""
Create DictLearn object and solve.
"""

opt = dictlrn.DictLearn.Options({'Verbose': True, 'MaxMainIter': 100})
d = dictlrn.DictLearn(xstep, dstep, opt)
示例#6
0
def gengraphs(pth, nopyfftw):
    """
    Generate call graph images when necessary. Parameter pth is the path
    to the directory in which images are to be created. Parameter nopyfftw
    is a flag indicating whether it is necessary to avoid using pyfftw.
    """

    srcmodflt = '^sporco.admm'
    srcqnmflt = r'^((?!<locals>|__new|_name_nested).)*$'
    dstqnmflt = r'^((?!<locals>|__new|_name_nested).)*$'

    fnmsub = ('^sporco.admm.', '')
    grpflt = r'^[^\.]*.[^\.]*'
    lnksub = (r'^([^\.]*).(.*)',
              r'../../sporco.admm.\1.html#sporco.admm.\1.\2')

    fntsz = 9
    fntfm = 'Vera Sans, DejaVu Sans, Liberation Sans, Arial, Helvetica, sans'
    kwargs = {'fntsz': fntsz, 'fntfm': fntfm, 'rmsz': True}

    ct = jonga.CallTracer(srcmodflt=srcmodflt,
                          srcqnmflt=srcqnmflt,
                          dstqnmflt=dstqnmflt,
                          fnmsub=fnmsub,
                          grpflt=grpflt,
                          lnksub=lnksub)

    # Make destination directory if it doesn't exist
    if not os.path.exists(pth):
        os.makedirs(pth, exist_ok=True)

    # Handle environment in which pyfftw is unavailable
    if nopyfftw:
        import numpy.fft as npfft
        import sporco.linalg as spl

        def empty(shape, dtype, order='C', n=None):
            return np.zeros(shape, dtype=dtype)

        spl.pyfftw_empty_aligned = empty

        def rfftn_empty(shape, axes, dtype, order='C', n=None):
            ashp = list(shape)
            raxis = axes[-1]
            ashp[raxis] = ashp[raxis] // 2 + 1
            cdtype = spl.complex_dtype(dtype)
            return np.zeros(ashp, dtype=cdtype)

        spl.pyfftw_rfftn_empty_aligned = rfftn_empty

        spl.fftn = npfft.fftn
        spl.ifftn = npfft.ifftn
        spl.rfftn = npfft.rfftn
        spl.irfftn = npfft.irfftn

    import numpy as np
    np.random.seed(12345)

    #### bpdn module
    from sporco.admm import bpdn
    mdnm = 'sporco.admm.bpdn'

    D = np.random.randn(8, 16)
    s = np.random.randn(8, 1)
    lmbda = 0.1

    ## BPDN class
    opt = bpdn.BPDN.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'bpdn_init.svg', **kwargs):
        b = bpdn.BPDN(D, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'bpdn_solve.svg', **kwargs):
        b.solve()

    ## BPDNJoint class
    opt = bpdn.BPDNJoint.Options({'Verbose': False, 'MaxMainIter': 1})
    mu = 0.01

    with CallGraph(ct, mdnm, pth, 'bpdnjnt_init.svg', **kwargs):
        b = bpdn.BPDNJoint(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'bpdnjnt_solve.svg', **kwargs):
        b.solve()

    ## ElasticNet class
    opt = bpdn.ElasticNet.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'elnet_init.svg', **kwargs):
        b = bpdn.ElasticNet(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'elnet_solve.svg', **kwargs):
        b.solve()

    # BPDNProjL1 class
    opt = bpdn.BPDNProjL1.Options({'Verbose': False, 'MaxMainIter': 1})
    gamma = 2.0

    with CallGraph(ct, mdnm, pth, 'bpdnprjl1_init.svg', **kwargs):
        b = bpdn.BPDNProjL1(D, s, gamma, opt)

    with CallGraph(ct, mdnm, pth, 'bpdnprjl1_solve.svg', **kwargs):
        b.solve()

    ## MinL1InL2Ball class
    opt = bpdn.MinL1InL2Ball.Options({'Verbose': False, 'MaxMainIter': 1})
    epsilon = 1.0

    with CallGraph(ct, mdnm, pth, 'bpdnml1l2_init.svg', **kwargs):
        b = bpdn.MinL1InL2Ball(D, s, epsilon, opt)

    with CallGraph(ct, mdnm, pth, 'bpdnml1l2_solve.svg', **kwargs):
        b.solve()

    #### cbpdn module
    from sporco.admm import cbpdn
    mdnm = 'sporco.admm.cbpdn'

    D = np.random.randn(4, 4, 16)
    s = np.random.randn(8, 8)
    lmbda = 0.1

    ## ConvBPDN class
    opt = cbpdn.ConvBPDN.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cbpdn_init.svg', **kwargs):
        b = cbpdn.ConvBPDN(D, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdn_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNJoint class
    opt = cbpdn.ConvBPDNJoint.Options({'Verbose': False, 'MaxMainIter': 1})
    mu = 0.01

    with CallGraph(ct, mdnm, pth, 'cbpdnjnt_init.svg', **kwargs):
        b = cbpdn.ConvBPDNJoint(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnjnt_solve.svg', **kwargs):
        b.solve()

    ## ConvElasticNet class
    opt = cbpdn.ConvElasticNet.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'celnet_init.svg', **kwargs):
        b = cbpdn.ConvElasticNet(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'celnet_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNGradReg class
    opt = cbpdn.ConvBPDNGradReg.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cbpdngrd_init.svg', **kwargs):
        b = cbpdn.ConvBPDNGradReg(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdngrd_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNProjL1 class
    opt = cbpdn.ConvBPDNProjL1.Options({'Verbose': False, 'MaxMainIter': 1})
    gamma = 0.5

    with CallGraph(ct, mdnm, pth, 'cbpdnprjl1_init.svg', **kwargs):
        b = cbpdn.ConvBPDNProjL1(D, s, gamma, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnprjl1_solve.svg', **kwargs):
        b.solve()

    ## ConvMinL1InL2Ball class
    opt = cbpdn.ConvMinL1InL2Ball.Options({'Verbose': False, 'MaxMainIter': 1})
    epsilon = 0.5

    with CallGraph(ct, mdnm, pth, 'cbpdnml1l2_init.svg', **kwargs):
        b = cbpdn.ConvMinL1InL2Ball(D, s, epsilon, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnml1l2_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNMaskDcpl class
    opt = cbpdn.ConvBPDNMaskDcpl.Options({'Verbose': False, 'MaxMainIter': 1})
    W = np.ones(s.shape)

    with CallGraph(ct, mdnm, pth, 'cbpdnmd_init.svg', **kwargs):
        b = cbpdn.ConvBPDNMaskDcpl(D, s, lmbda, W, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnmd_solve.svg', **kwargs):
        b.solve()

    #### cbpdntv module
    from sporco.admm import cbpdntv
    mdnm = 'sporco.admm.cbpdntv'

    D = np.random.randn(4, 4, 16)
    s = np.random.randn(8, 8)
    lmbda = 0.1
    mu = 0.01

    ## ConvBPDNScalarTV class
    opt = cbpdntv.ConvBPDNScalarTV.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'cbpdnstv_init.svg', **kwargs):
        b = cbpdntv.ConvBPDNScalarTV(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnstv_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNVectorTV class
    opt = cbpdntv.ConvBPDNVectorTV.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'cbpdnvtv_init.svg', **kwargs):
        b = cbpdntv.ConvBPDNVectorTV(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnvtv_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNRecTV class
    opt = cbpdntv.ConvBPDNRecTV.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cbpdnrtv_init.svg', **kwargs):
        b = cbpdntv.ConvBPDNRecTV(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnrtv_solve.svg', **kwargs):
        b.solve()

    #### cmod module
    from sporco.admm import cmod
    mdnm = 'sporco.admm.cmod'

    X = np.random.randn(8, 16)
    S = np.random.randn(8, 16)

    ## CnstrMOD class
    opt = cmod.CnstrMOD.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cmod_init.svg', **kwargs):
        b = cmod.CnstrMOD(X, S, opt=opt)

    with CallGraph(ct, mdnm, pth, 'cmod_solve.svg', **kwargs):
        b.solve()

    #### ccmod module
    from sporco.admm import ccmod
    mdnm = 'sporco.admm.ccmod'

    X = np.random.randn(8, 8, 1, 2, 1)
    S = np.random.randn(8, 8, 2)
    dsz = (4, 4, 1)

    ## ConvCnstrMOD_IterSM class
    opt = ccmod.ConvCnstrMOD_IterSM.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'ccmodism_init.svg', **kwargs):
        b = ccmod.ConvCnstrMOD_IterSM(X, S, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodism_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMOD_CG class
    opt = ccmod.ConvCnstrMOD_CG.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'CG': {
            'MaxIter': 1
        }
    })

    with CallGraph(ct, mdnm, pth, 'ccmodcg_init.svg', **kwargs):
        b = ccmod.ConvCnstrMOD_CG(X, S, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodcg_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMOD_Consensus class
    opt = ccmod.ConvCnstrMOD_Consensus.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'ccmodcnsns_init.svg', **kwargs):
        b = ccmod.ConvCnstrMOD_Consensus(X, S, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodcnsns_solve.svg', **kwargs):
        b.solve()

    #### ccmodmd module
    from sporco.admm import ccmodmd
    mdnm = 'sporco.admm.ccmodmd'

    X = np.random.randn(8, 8, 1, 2, 1)
    S = np.random.randn(8, 8, 2)
    W = np.array([1.0])
    dsz = (4, 4, 1)

    ## ConvCnstrMODMaskDcpl_IterSM class
    opt = ccmodmd.ConvCnstrMODMaskDcpl_IterSM.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'ccmodmdism_init.svg', **kwargs):
        b = ccmodmd.ConvCnstrMODMaskDcpl_IterSM(X, S, W, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodmdism_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMODMaskDcpl_CG class
    opt = ccmodmd.ConvCnstrMODMaskDcpl_CG.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'CG': {
            'MaxIter': 1
        }
    })

    with CallGraph(ct, mdnm, pth, 'ccmodmdcg_init.svg', **kwargs):
        b = ccmodmd.ConvCnstrMODMaskDcpl_CG(X, S, W, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodmdcg_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMODMaskDcpl_Consensus class
    opt = ccmodmd.ConvCnstrMODMaskDcpl_Consensus.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'ccmodmdcnsns_init.svg', **kwargs):
        b = ccmodmd.ConvCnstrMODMaskDcpl_Consensus(X, S, W, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodmdcnsns_solve.svg', **kwargs):
        b.solve()

    #### bpdndl module
    from sporco.admm import bpdndl
    mdnm = 'sporco.admm.bpdndl'

    D0 = np.random.randn(8, 8)
    S = np.random.randn(8, 16)
    lmbda = 0.1

    ## BPDNDictLearn class
    opt = bpdndl.BPDNDictLearn.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'AccurateDFid': True
    })

    with CallGraph(ct, mdnm, pth, 'bpdndl_init.svg', **kwargs):
        b = bpdndl.BPDNDictLearn(D0, S, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'bpdndl_solve.svg', **kwargs):
        b.solve()

    #### cbpdndl module
    from sporco.admm import cbpdndl
    mdnm = 'sporco.admm.cbpdndl'

    D0 = np.random.randn(4, 4, 16)
    s = np.random.randn(8, 8, 10)
    lmbda = 0.1

    ## ConvBPDNDictLearn class
    opt = cbpdndl.ConvBPDNDictLearn.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'AccurateDFid': True
    })

    with CallGraph(ct, mdnm, pth, 'cbpdndl_init.svg', **kwargs):
        b = cbpdndl.ConvBPDNDictLearn(D0, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdndl_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNMaskDcplDictLearn class
    W = np.array([1.0])
    opt = cbpdndl.ConvBPDNMaskDcplDictLearn.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'AccurateDFid': True
    })

    with CallGraph(ct, mdnm, pth, 'cbpdnmddl_init.svg', **kwargs):
        b = cbpdndl.ConvBPDNMaskDcplDictLearn(D0, s, lmbda, W, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnmddl_solve.svg', **kwargs):
        b.solve()

    #### tvl1 module
    from sporco.admm import tvl1
    mdnm = 'sporco.admm.tvl1'

    s = np.random.randn(16, 16)
    lmbda = 0.1

    ## TVL1Denoise class
    opt = tvl1.TVL1Denoise.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'tvl1den_init.svg', **kwargs):
        b = tvl1.TVL1Denoise(s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'tvl1den_solve.svg', **kwargs):
        b.solve()

    ## TVL1Deconv class
    opt = tvl1.TVL1Deconv.Options({'Verbose': False, 'MaxMainIter': 1})
    h = np.random.randn(3, 3)

    with CallGraph(ct, mdnm, pth, 'tvl1dcn_init.svg', **kwargs):
        b = tvl1.TVL1Deconv(h, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'tvl1dcn_solve.svg', **kwargs):
        b.solve()

    #### tvl2 module
    from sporco.admm import tvl2
    mdnm = 'sporco.admm.tvl2'

    s = np.random.randn(16, 16)
    lmbda = 0.1

    ## TVL2Denoise class
    opt = tvl2.TVL2Denoise.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'tvl2den_init.svg', **kwargs):
        b = tvl2.TVL2Denoise(s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'tvl2den_solve.svg', **kwargs):
        b.solve()

    ## TVL2Deconv class
    opt = tvl2.TVL2Deconv.Options({'Verbose': False, 'MaxMainIter': 1})
    h = np.random.randn(3, 3)

    with CallGraph(ct, mdnm, pth, 'tvl2dcn_init.svg', **kwargs):
        b = tvl2.TVL2Deconv(h, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'tvl2dcn_solve.svg', **kwargs):
        b.solve()

    srcmodflt = '^sporco.fista'
    fnmsub = ('^sporco.fista.', '')
    lnksub = (r'^([^\.]*).(.*)',
              r'../../sporco.fista.\1.html#sporco.fista.\1.\2')
    ct = jonga.CallTracer(srcmodflt=srcmodflt,
                          srcqnmflt=srcqnmflt,
                          dstqnmflt=dstqnmflt,
                          fnmsub=fnmsub,
                          grpflt=grpflt,
                          lnksub=lnksub)

    #### fista.cbpdn module
    from sporco.fista import cbpdn
    mdnm = 'sporco.fista.cbpdn'

    D = np.random.randn(4, 4, 16)
    s = np.random.randn(8, 8)
    lmbda = 0.1

    ## ConvBPDN class
    opt = cbpdn.ConvBPDN.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'fista_cbpdn_init.svg', **kwargs):
        b = cbpdn.ConvBPDN(D, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'fista_cbpdn_solve.svg', **kwargs):
        b.solve()

    #### fista.ccmod module
    from sporco.fista import ccmod
    mdnm = 'sporco.fista.ccmod'

    X = np.random.randn(8, 8, 1, 2, 1)
    S = np.random.randn(8, 8, 2)
    dsz = (4, 4, 1)

    ## ConvCnstrMOD class
    opt = ccmod.ConvCnstrMOD.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'ccmodfista_init.svg', **kwargs):
        b = ccmod.ConvCnstrMOD(X, S, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodfista_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMODMaskDcpl class
    opt = ccmod.ConvCnstrMODMask.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'ccmodmdfista_init.svg', **kwargs):
        b = ccmod.ConvCnstrMODMask(X, S, W, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodmdfista_solve.svg', **kwargs):
        b.solve()
示例#7
0
               imgnph.shape[0:2], (0, 1))
W = 1.0/(np.maximum(np.abs(W), 1e-8))

lmbda = 1.5e-2
mu = 2.7e-1

opt = cbpdn.ConvBPDNJoint.Options({'Verbose': True, 'MaxMainIter': 250,
            'HighMemSolve': True, 'RelStopTol': 3e-3, 'AuxVarObj': False,
            'L1Weight': W, 'AutoRho': {'Enabled': False}, 'rho': 1e3*lmbda})


"""
Initialise the :class:`.admm.cbpdn.ConvBPDNJoint` object and call the ``solve`` method.
"""

b = cbpdn.ConvBPDNJoint(D, pad(imgnh), lmbda, mu, opt, dimK=0)
X = b.solve()


"""
The denoised estimate of the image is just the reconstruction from the coefficient maps.
"""

imgdp = b.reconstruct().squeeze()
imgd = np.clip(crop(imgdp) + imgnl, 0, 1)


"""
Display solve time and denoising performance.
"""
示例#8
0
def gengraphs(pth):
    """
    Generate call graph images when necessary. Parameter pth is the path
    to the directory in which images are to be created.
    """

    srcmodflt = '^sporco.admm'
    srcqnmflt = r'^((?!<locals>|__new|_name_nested).)*$'
    dstqnmflt = r'^((?!<locals>|__new|_name_nested).)*$'

    fnmsub = ('^sporco.admm.', '')
    grpflt = r'^[^\.]*.[^\.]*'
    lnkpfx = '../../modules/'
    lnksub = (r'^([^\.]*).([^\.]*)(?:(.__init__|.__call__)|(.[^\.]*))',
              lnkpfx + r'sporco.admm.\1.html#sporco.admm.\1.\2\4')

    fntsz = 9
    fntfm = 'Vera Sans, DejaVu Sans, Liberation Sans, Arial, Helvetica, sans'
    kwargs = {'fntsz': fntsz, 'fntfm': fntfm, 'rmsz': True}

    ct = jonga.CallTracer(srcmodflt=srcmodflt,
                          srcqnmflt=srcqnmflt,
                          dstqnmflt=dstqnmflt,
                          fnmsub=fnmsub,
                          grpflt=grpflt,
                          lnksub=lnksub)

    # Make destination directory if it doesn't exist
    if not os.path.exists(pth):
        os.makedirs(pth, exist_ok=True)

    import numpy as np
    np.random.seed(12345)

    #### bpdn module
    from sporco.admm import bpdn
    mdnm = 'sporco.admm.bpdn'

    D = np.random.randn(8, 16)
    s = np.random.randn(8, 1)
    lmbda = 0.1

    ## BPDN class
    opt = bpdn.BPDN.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'bpdn_init.svg', **kwargs):
        b = bpdn.BPDN(D, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'bpdn_solve.svg', **kwargs):
        b.solve()

    ## BPDNJoint class
    opt = bpdn.BPDNJoint.Options({'Verbose': False, 'MaxMainIter': 1})
    mu = 0.01

    with CallGraph(ct, mdnm, pth, 'bpdnjnt_init.svg', **kwargs):
        b = bpdn.BPDNJoint(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'bpdnjnt_solve.svg', **kwargs):
        b.solve()

    ## ElasticNet class
    opt = bpdn.ElasticNet.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'elnet_init.svg', **kwargs):
        b = bpdn.ElasticNet(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'elnet_solve.svg', **kwargs):
        b.solve()

    # BPDNProjL1 class
    opt = bpdn.BPDNProjL1.Options({'Verbose': False, 'MaxMainIter': 1})
    gamma = 2.0

    with CallGraph(ct, mdnm, pth, 'bpdnprjl1_init.svg', **kwargs):
        b = bpdn.BPDNProjL1(D, s, gamma, opt)

    with CallGraph(ct, mdnm, pth, 'bpdnprjl1_solve.svg', **kwargs):
        b.solve()

    ## MinL1InL2Ball class
    opt = bpdn.MinL1InL2Ball.Options({'Verbose': False, 'MaxMainIter': 1})
    epsilon = 1.0

    with CallGraph(ct, mdnm, pth, 'bpdnml1l2_init.svg', **kwargs):
        b = bpdn.MinL1InL2Ball(D, s, epsilon, opt)

    with CallGraph(ct, mdnm, pth, 'bpdnml1l2_solve.svg', **kwargs):
        b.solve()

    #### cbpdn module
    from sporco.admm import cbpdn
    mdnm = 'sporco.admm.cbpdn'

    D = np.random.randn(4, 4, 16)
    s = np.random.randn(8, 8)
    lmbda = 0.1

    ## ConvBPDN class
    opt = cbpdn.ConvBPDN.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cbpdn_init.svg', **kwargs):
        b = cbpdn.ConvBPDN(D, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdn_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNJoint class
    opt = cbpdn.ConvBPDNJoint.Options({'Verbose': False, 'MaxMainIter': 1})
    mu = 0.01

    with CallGraph(ct, mdnm, pth, 'cbpdnjnt_init.svg', **kwargs):
        b = cbpdn.ConvBPDNJoint(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnjnt_solve.svg', **kwargs):
        b.solve()

    ## ConvElasticNet class
    opt = cbpdn.ConvElasticNet.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'celnet_init.svg', **kwargs):
        b = cbpdn.ConvElasticNet(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'celnet_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNGradReg class
    opt = cbpdn.ConvBPDNGradReg.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cbpdngrd_init.svg', **kwargs):
        b = cbpdn.ConvBPDNGradReg(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdngrd_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNProjL1 class
    opt = cbpdn.ConvBPDNProjL1.Options({'Verbose': False, 'MaxMainIter': 1})
    gamma = 0.5

    with CallGraph(ct, mdnm, pth, 'cbpdnprjl1_init.svg', **kwargs):
        b = cbpdn.ConvBPDNProjL1(D, s, gamma, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnprjl1_solve.svg', **kwargs):
        b.solve()

    ## ConvMinL1InL2Ball class
    opt = cbpdn.ConvMinL1InL2Ball.Options({'Verbose': False, 'MaxMainIter': 1})
    epsilon = 0.5

    with CallGraph(ct, mdnm, pth, 'cbpdnml1l2_init.svg', **kwargs):
        b = cbpdn.ConvMinL1InL2Ball(D, s, epsilon, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnml1l2_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNMaskDcpl class
    opt = cbpdn.ConvBPDNMaskDcpl.Options({'Verbose': False, 'MaxMainIter': 1})
    W = np.ones(s.shape)

    with CallGraph(ct, mdnm, pth, 'cbpdnmd_init.svg', **kwargs):
        b = cbpdn.ConvBPDNMaskDcpl(D, s, lmbda, W, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnmd_solve.svg', **kwargs):
        b.solve()

    ## ConvL1L1Grd class
    opt = cbpdn.ConvL1L1Grd.Options({'Verbose': False, 'MaxMainIter': 1})
    mu = 1e-2

    with CallGraph(ct, mdnm, pth, 'cl1l1grd_init.svg', **kwargs):
        b = cbpdn.ConvL1L1Grd(D, s, lmbda, mu, W, opt)

    with CallGraph(ct, mdnm, pth, 'cl1l1grd_solve.svg', **kwargs):
        b.solve()

    #### cbpdntv module
    from sporco.admm import cbpdntv
    mdnm = 'sporco.admm.cbpdntv'

    D = np.random.randn(4, 4, 16)
    s = np.random.randn(8, 8)
    lmbda = 0.1
    mu = 0.01

    ## ConvBPDNScalarTV class
    opt = cbpdntv.ConvBPDNScalarTV.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'cbpdnstv_init.svg', **kwargs):
        b = cbpdntv.ConvBPDNScalarTV(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnstv_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNVectorTV class
    opt = cbpdntv.ConvBPDNVectorTV.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'cbpdnvtv_init.svg', **kwargs):
        b = cbpdntv.ConvBPDNVectorTV(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnvtv_solve.svg', **kwargs):
        b.solve()

    ## ConvBPDNRecTV class
    opt = cbpdntv.ConvBPDNRecTV.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cbpdnrtv_init.svg', **kwargs):
        b = cbpdntv.ConvBPDNRecTV(D, s, lmbda, mu, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnrtv_solve.svg', **kwargs):
        b.solve()

    #### cbpdnin module
    from sporco.admm import cbpdnin
    mdnm = 'sporco.admm.cbpdnin'

    D = np.random.randn(4, 4, 32)
    s = np.random.randn(8, 8)
    lmbda = 0.1
    mu = 0.01
    Wg = np.append(np.eye(16), np.eye(16), axis=-1)

    ## ConvBPDNInhib class
    opt = cbpdnin.ConvBPDNInhib.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cbpdnin_init.svg', **kwargs):
        b = cbpdnin.ConvBPDNInhib(D,
                                  s,
                                  Wg,
                                  Whn=4,
                                  lmbda=lmbda,
                                  mu=mu,
                                  gamma=None,
                                  opt=opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnin_solve.svg', **kwargs):
        b.solve()

    #### cmod module
    from sporco.admm import cmod
    mdnm = 'sporco.admm.cmod'

    X = np.random.randn(8, 16)
    S = np.random.randn(8, 16)

    ## CnstrMOD class
    opt = cmod.CnstrMOD.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'cmod_init.svg', **kwargs):
        b = cmod.CnstrMOD(X, S, opt=opt)

    with CallGraph(ct, mdnm, pth, 'cmod_solve.svg', **kwargs):
        b.solve()

    #### ccmod module
    from sporco.admm import ccmod
    mdnm = 'sporco.admm.ccmod'

    X = np.random.randn(8, 8, 1, 2, 1)
    S = np.random.randn(8, 8, 2)
    dsz = (4, 4, 1)

    ## ConvCnstrMOD_IterSM class
    opt = ccmod.ConvCnstrMOD_IterSM.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'ccmodism_init.svg', **kwargs):
        b = ccmod.ConvCnstrMOD_IterSM(X, S, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodism_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMOD_CG class
    opt = ccmod.ConvCnstrMOD_CG.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'CG': {
            'MaxIter': 1
        }
    })

    with CallGraph(ct, mdnm, pth, 'ccmodcg_init.svg', **kwargs):
        b = ccmod.ConvCnstrMOD_CG(X, S, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodcg_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMOD_Consensus class
    opt = ccmod.ConvCnstrMOD_Consensus.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'ccmodcnsns_init.svg', **kwargs):
        b = ccmod.ConvCnstrMOD_Consensus(X, S, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodcnsns_solve.svg', **kwargs):
        b.solve()

    #### ccmodmd module
    from sporco.admm import ccmodmd
    mdnm = 'sporco.admm.ccmodmd'

    X = np.random.randn(8, 8, 1, 2, 1)
    S = np.random.randn(8, 8, 2)
    W = np.array([1.0])
    dsz = (4, 4, 1)

    ## ConvCnstrMODMaskDcpl_IterSM class
    opt = ccmodmd.ConvCnstrMODMaskDcpl_IterSM.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'ccmodmdism_init.svg', **kwargs):
        b = ccmodmd.ConvCnstrMODMaskDcpl_IterSM(X, S, W, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodmdism_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMODMaskDcpl_CG class
    opt = ccmodmd.ConvCnstrMODMaskDcpl_CG.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'CG': {
            'MaxIter': 1
        }
    })

    with CallGraph(ct, mdnm, pth, 'ccmodmdcg_init.svg', **kwargs):
        b = ccmodmd.ConvCnstrMODMaskDcpl_CG(X, S, W, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodmdcg_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMODMaskDcpl_Consensus class
    opt = ccmodmd.ConvCnstrMODMaskDcpl_Consensus.Options({
        'Verbose': False,
        'MaxMainIter': 1
    })

    with CallGraph(ct, mdnm, pth, 'ccmodmdcnsns_init.svg', **kwargs):
        b = ccmodmd.ConvCnstrMODMaskDcpl_Consensus(X, S, W, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodmdcnsns_solve.svg', **kwargs):
        b.solve()

    #### tvl1 module
    from sporco.admm import tvl1
    mdnm = 'sporco.admm.tvl1'

    s = np.random.randn(16, 16)
    lmbda = 0.1

    ## TVL1Denoise class
    opt = tvl1.TVL1Denoise.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'tvl1den_init.svg', **kwargs):
        b = tvl1.TVL1Denoise(s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'tvl1den_solve.svg', **kwargs):
        b.solve()

    ## TVL1Deconv class
    opt = tvl1.TVL1Deconv.Options({'Verbose': False, 'MaxMainIter': 1})
    h = np.random.randn(3, 3)

    with CallGraph(ct, mdnm, pth, 'tvl1dcn_init.svg', **kwargs):
        b = tvl1.TVL1Deconv(h, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'tvl1dcn_solve.svg', **kwargs):
        b.solve()

    #### tvl2 module
    from sporco.admm import tvl2
    mdnm = 'sporco.admm.tvl2'

    s = np.random.randn(16, 16)
    lmbda = 0.1

    ## TVL2Denoise class
    opt = tvl2.TVL2Denoise.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'tvl2den_init.svg', **kwargs):
        b = tvl2.TVL2Denoise(s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'tvl2den_solve.svg', **kwargs):
        b.solve()

    ## TVL2Deconv class
    opt = tvl2.TVL2Deconv.Options({'Verbose': False, 'MaxMainIter': 1})
    h = np.random.randn(3, 3)

    with CallGraph(ct, mdnm, pth, 'tvl2dcn_init.svg', **kwargs):
        b = tvl2.TVL2Deconv(h, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'tvl2dcn_solve.svg', **kwargs):
        b.solve()

    srcmodflt = '^sporco.fista'
    fnmsub = ('^sporco.fista.', '')
    lnksub = (r'^([^\.]*).([^\.]*)(?:(.__init__|.__call__)|(.[^\.]*))',
              lnkpfx + r'sporco.fista.\1.html#sporco.fista.\1.\2\4')
    ct = jonga.CallTracer(srcmodflt=srcmodflt,
                          srcqnmflt=srcqnmflt,
                          dstqnmflt=dstqnmflt,
                          fnmsub=fnmsub,
                          grpflt=grpflt,
                          lnksub=lnksub)

    #### fista.cbpdn module
    from sporco.fista import cbpdn
    mdnm = 'sporco.fista.cbpdn'

    D = np.random.randn(4, 4, 16)
    s = np.random.randn(8, 8)
    lmbda = 0.1

    ## ConvBPDN class
    opt = cbpdn.ConvBPDN.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'fista_cbpdn_init.svg', **kwargs):
        b = cbpdn.ConvBPDN(D, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'fista_cbpdn_solve.svg', **kwargs):
        b.solve()

    #### fista.ccmod module
    from sporco.fista import ccmod
    mdnm = 'sporco.fista.ccmod'

    X = np.random.randn(8, 8, 1, 2, 1)
    S = np.random.randn(8, 8, 2)
    dsz = (4, 4, 1)

    ## ConvCnstrMOD class
    opt = ccmod.ConvCnstrMOD.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'ccmodfista_init.svg', **kwargs):
        b = ccmod.ConvCnstrMOD(X, S, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodfista_solve.svg', **kwargs):
        b.solve()

    ## ConvCnstrMODMask class
    opt = ccmod.ConvCnstrMODMask.Options({'Verbose': False, 'MaxMainIter': 1})

    with CallGraph(ct, mdnm, pth, 'ccmodmdfista_init.svg', **kwargs):
        b = ccmod.ConvCnstrMODMask(X, S, W, dsz=dsz, opt=opt)

    with CallGraph(ct, mdnm, pth, 'ccmodmdfista_solve.svg', **kwargs):
        b.solve()

    srcmodflt = '^sporco.dictlrn'
    fnmsub = ('^sporco.dictlrn.', '')
    lnksub = (r'^([^\.]*).([^\.]*)(?:(.__init__|.__call__)|(.[^\.]*))',
              lnkpfx + r'sporco.dictlrn.\1.html#sporco.dictlrn.\1.\2\4')
    ct = jonga.CallTracer(srcmodflt=srcmodflt,
                          srcqnmflt=srcqnmflt,
                          dstqnmflt=dstqnmflt,
                          fnmsub=fnmsub,
                          grpflt=grpflt,
                          lnksub=lnksub)

    #### bpdndl module
    from sporco.dictlrn import bpdndl
    mdnm = 'sporco.dictlrn.bpdndl'

    D0 = np.random.randn(8, 8)
    S = np.random.randn(8, 16)
    lmbda = 0.1

    ## BPDNDictLearn class
    opt = bpdndl.BPDNDictLearn.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'AccurateDFid': True
    })

    with CallGraph(ct, mdnm, pth, 'bpdndl_init.svg', **kwargs):
        b = bpdndl.BPDNDictLearn(D0, S, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'bpdndl_solve.svg', **kwargs):
        b.solve()

    #### cbpdndl module
    from sporco.dictlrn import cbpdndl
    mdnm = 'sporco.dictlrn.cbpdndl'

    D0 = np.random.randn(4, 4, 16)
    s = np.random.randn(8, 8, 10)
    lmbda = 0.1

    ## ConvBPDNDictLearn class
    opt = cbpdndl.ConvBPDNDictLearn.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'AccurateDFid': True
    })

    with CallGraph(ct, mdnm, pth, 'cbpdndl_init.svg', **kwargs):
        b = cbpdndl.ConvBPDNDictLearn(D0, s, lmbda, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdndl_solve.svg', **kwargs):
        b.solve()

    #### cbpdndlmd module
    from sporco.dictlrn import cbpdndlmd
    mdnm = 'sporco.dictlrn.cbpdndlmd'

    ## ConvBPDNMaskDcplDictLearn class
    W = np.array([1.0])
    opt = cbpdndlmd.ConvBPDNMaskDictLearn.Options({
        'Verbose': False,
        'MaxMainIter': 1,
        'AccurateDFid': True
    })

    with CallGraph(ct, mdnm, pth, 'cbpdnmddl_init.svg', **kwargs):
        b = cbpdndlmd.ConvBPDNMaskDictLearn(D0, s, lmbda, W, opt)

    with CallGraph(ct, mdnm, pth, 'cbpdnmddl_solve.svg', **kwargs):
        b.solve()