laplacelaplaceLaplaceLaplacelaplace (算子)

名称

laplacelaplaceLaplaceLaplacelaplace — 使用有限差分计算拉普拉斯算子。

签名

laplace(Image : ImageLaplace : ResultType, MaskSize, FilterMask : )

Herror laplace(const Hobject Image, Hobject* ImageLaplace, const char* ResultType, const Hlong MaskSize, const char* FilterMask)

Herror T_laplace(const Hobject Image, Hobject* ImageLaplace, const Htuple ResultType, const Htuple MaskSize, const Htuple FilterMask)

void Laplace(const HObject& Image, HObject* ImageLaplace, const HTuple& ResultType, const HTuple& MaskSize, const HTuple& FilterMask)

HImage HImage::Laplace(const HString& ResultType, const HTuple& MaskSize, const HString& FilterMask) const

HImage HImage::Laplace(const HString& ResultType, Hlong MaskSize, const HString& FilterMask) const

HImage HImage::Laplace(const char* ResultType, Hlong MaskSize, const char* FilterMask) const

HImage HImage::Laplace(const wchar_t* ResultType, Hlong MaskSize, const wchar_t* FilterMask) const   ( Windows only)

static void HOperatorSet.Laplace(HObject image, out HObject imageLaplace, HTuple resultType, HTuple maskSize, HTuple filterMask)

HImage HImage.Laplace(string resultType, HTuple maskSize, string filterMask)

HImage HImage.Laplace(string resultType, int maskSize, string filterMask)

def laplace(image: HObject, result_type: str, mask_size: MaybeSequence[int], filter_mask: str) -> HObject

描述

laplacelaplaceLaplaceLaplaceLaplacelaplace filters the input images ImageImageImageImageimageimage using a Laplace operator. Depending on the parameter FilterMaskFilterMaskFilterMaskFilterMaskfilterMaskfilter_mask the following approximations of the Laplace operator are used:

'n_4'

1 1 -4 1 1

'n_8'

1 1 1 1 -8 1 1 1 1

'n_8_isotropic'

10 22 10 22 -128 22 10 22 10

For the three filter masks the following normalizations of the resulting gray values is applied, (i.e., by dividing the result by the given divisor): 'n_4'"n_4""n_4""n_4""n_4""n_4" normalization by 1, 'n_8'"n_8""n_8""n_8""n_8""n_8", normalization by 2 and for 'n_8_isotropic'"n_8_isotropic""n_8_isotropic""n_8_isotropic""n_8_isotropic""n_8_isotropic" normalization by 32.

For a Laplace operator with size 3x3, the corresponding filter is applied directly, while for larger filter sizes the input image is first smoothed using a Gaussian filter (see gauss_imagegauss_imageGaussImageGaussImageGaussImagegauss_image) or a binomial filter (see binomial_filterbinomial_filterBinomialFilterBinomialFilterBinomialFilterbinomial_filter) of size MaskSizeMaskSizeMaskSizeMaskSizemaskSizemask_size-2. The Gaussian filter is selected for the above values of ResultTypeResultTypeResultTypeResultTyperesultTyperesult_type. Here, MaskSizeMaskSizeMaskSizeMaskSizemaskSizemask_size = 5, 7, 9, 11, or 13 must be used. The binomial filter is selected by appending '_binomial'"_binomial""_binomial""_binomial""_binomial""_binomial" to the above values of ResultTypeResultTypeResultTypeResultTyperesultTyperesult_type. Here, MaskSizeMaskSizeMaskSizeMaskSizemaskSizemask_size can be selected between 5 and 39. Furthermore, it is possible to select different amounts of smoothing for the column and row direction by passing two values in MaskSizeMaskSizeMaskSizeMaskSizemaskSizemask_size. Here, the first value of MaskSizeMaskSizeMaskSizeMaskSizemaskSizemask_size corresponds to the mask width (smoothing in the column direction), while the second value corresponds to the mask height (smoothing in the row direction) of the binomial filter. Therefore,
laplace(O:R:'absolute',MaskSize,N:)laplace(O,R,"absolute",MaskSize,N)Laplace(O,R,"absolute",MaskSize,N)Laplace(O,R,"absolute",MaskSize,N)Laplace(O,R,"absolute",MaskSize,N)laplace(O,R,"absolute",MaskSize,N)
for MaskSizeMaskSizeMaskSizeMaskSizemaskSizemask_size > 3 is equivalent to
gauss_image(O:G:MaskSize-2:)gauss_image(O,G,MaskSize-2)GaussImage(O,G,MaskSize-2)GaussImage(O,G,MaskSize-2)GaussImage(O,G,MaskSize-2)gauss_image(O,G,MaskSize-2)
laplace(G:R:'absolute',3,N:)laplace(G,R,"absolute",3,N)Laplace(G,R,"absolute",3,N)Laplace(G,R,"absolute",3,N)Laplace(G,R,"absolute",3,N)laplace(G,R,"absolute",3,N)
and
laplace(O:R:'absolute_binomial',MaskSize,N:)laplace(O,R,"absolute_binomial",MaskSize,N)Laplace(O,R,"absolute_binomial",MaskSize,N)Laplace(O,R,"absolute_binomial",MaskSize,N)Laplace(O,R,"absolute_binomial",MaskSize,N)laplace(O,R,"absolute_binomial",MaskSize,N)
is equivalent to
binomial_filter(O:B:MaskSize-2,MaskSize-2:)binomial_filter(O,B,MaskSize-2,MaskSize-2)BinomialFilter(O,B,MaskSize-2,MaskSize-2)BinomialFilter(O,B,MaskSize-2,MaskSize-2)BinomialFilter(O,B,MaskSize-2,MaskSize-2)binomial_filter(O,B,MaskSize-2,MaskSize-2)
laplace(B:R:'absolute',3,N:)laplace(B,R,"absolute",3,N)Laplace(B,R,"absolute",3,N)Laplace(B,R,"absolute",3,N)Laplace(B,R,"absolute",3,N)laplace(B,R,"absolute",3,N).

laplacelaplaceLaplaceLaplaceLaplacelaplace either returns the absolute value of the Laplace filtered image (ResultTypeResultTypeResultTypeResultTyperesultTyperesult_type = 'absolute'"absolute""absolute""absolute""absolute""absolute") in a byte or uint2 image or the signed result (ResultTypeResultTypeResultTypeResultTyperesultTyperesult_type = 'signed'"signed""signed""signed""signed""signed" or 'signed_clipped'"signed_clipped""signed_clipped""signed_clipped""signed_clipped""signed_clipped"). Here, the output image type has the same number of bytes per pixel as the input image (i.e., int1 or int2) for 'signed_clipped'"signed_clipped""signed_clipped""signed_clipped""signed_clipped""signed_clipped", while the output image has the next larger number of pixels (i.e., int2 or int4) for 'signed'"signed""signed""signed""signed""signed".

注意

请注意,若使用域缩减后的图像作为输入,滤波器算子可能会返回意外结果。请参阅 滤波器 一章

执行信息

参数

ImageImageImageImageimageimage (输入对象)  (multichannel-)image(-array) objectHImageHObjectHImageHobject (byte / uint2)

输入图像。

ImageLaplaceImageLaplaceImageLaplaceImageLaplaceimageLaplaceimage_laplace (输出对象)  (multichannel-)image(-array) objectHImageHObjectHImageHobject * (byte / uint2 / int2 / int2 / int4)

Laplace-filtered result image.

ResultTypeResultTypeResultTypeResultTyperesultTyperesult_type (输入控制)  string HTuplestrHTupleHtuple (string) (string) (HString) (char*)

Type of the result image, whereas for byte and uint2 the absolute value is used.

默认值: 'absolute' "absolute" "absolute" "absolute" "absolute" "absolute"

值列表: 'absolute'"absolute""absolute""absolute""absolute""absolute", 'absolute_binomial'"absolute_binomial""absolute_binomial""absolute_binomial""absolute_binomial""absolute_binomial", 'signed'"signed""signed""signed""signed""signed", 'signed_binomial'"signed_binomial""signed_binomial""signed_binomial""signed_binomial""signed_binomial", 'signed_clipped'"signed_clipped""signed_clipped""signed_clipped""signed_clipped""signed_clipped", 'signed_clipped_binomial'"signed_clipped_binomial""signed_clipped_binomial""signed_clipped_binomial""signed_clipped_binomial""signed_clipped_binomial"

MaskSizeMaskSizeMaskSizeMaskSizemaskSizemask_size (输入控制)  integer(-array) HTupleMaybeSequence[int]HTupleHtuple (integer) (int / long) (Hlong) (Hlong)

Size of filter mask.

默认值: 3

值列表: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39

FilterMaskFilterMaskFilterMaskFilterMaskfilterMaskfilter_mask (输入控制)  string HTuplestrHTupleHtuple (string) (string) (HString) (char*)

Filter mask used in the Laplace operator

默认值: 'n_4' "n_4" "n_4" "n_4" "n_4" "n_4"

值列表: 'n_4'"n_4""n_4""n_4""n_4""n_4", 'n_8'"n_8""n_8""n_8""n_8""n_8", 'n_8_isotropic'"n_8_isotropic""n_8_isotropic""n_8_isotropic""n_8_isotropic""n_8_isotropic"

示例(C)

read_image(&Image,"mreut");
laplace(Image,&Laplace,"signed",3,"n_8_isotropic");
zero_crossing(Laplace,&ZeroCrossings);

结果

laplacelaplaceLaplaceLaplaceLaplacelaplace 在所有参数正确时返回 2 ( H_MSG_TRUE )。 如果输入为空则可设置行为通过 set_system('no_object_result',<Result>)set_system("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>)SetSystem("no_object_result",<Result>)set_system("no_object_result",<Result>)。如有必要,则抛出异常。

可能的后继

zero_crossingzero_crossingZeroCrossingZeroCrossingZeroCrossingzero_crossing, dual_thresholddual_thresholdDualThresholdDualThresholdDualThresholddual_threshold, thresholdthresholdThresholdThresholdThresholdthreshold

替代

diff_of_gaussdiff_of_gaussDiffOfGaussDiffOfGaussDiffOfGaussdiff_of_gauss, laplace_of_gausslaplace_of_gaussLaplaceOfGaussLaplaceOfGaussLaplaceOfGausslaplace_of_gauss, derivate_gaussderivate_gaussDerivateGaussDerivateGaussDerivateGaussderivate_gauss

另见

highpass_imagehighpass_imageHighpassImageHighpassImageHighpassImagehighpass_image, edges_imageedges_imageEdgesImageEdgesImageEdgesImageedges_image

模块

基础