9i SSKrSS.SjrSrg)N)dtypec UcSURRRS:Xa/[R"UR[R 5nUn[ UR5HnURX1S9nM U$)aZIntegral image / summed area table. The integral image contains the sum of all elements above and to the left of it, i.e.: .. math:: S[m, n] = \sum_{i \leq m} \sum_{j \leq n} X[i, j] Parameters ---------- image : ndarray Input image. Returns ------- S : ndarray Integral image/summed area table of same shape as input image. Notes ----- For better accuracy and to avoid potential overflow, the data type of the output may differ from the input's when the default dtype of None is used. For inputs with integer dtype, the behavior matches that for :func:`numpy.cumsum`. Floating point inputs will be promoted to at least double precision. The user can set `dtype` to override this behavior. References ---------- .. [1] F.C. Crow, "Summed-area tables for texture mapping," ACM SIGGRAPH Computer Graphics, vol. 18, 1984, pp. 207-212. f)axisr) realrkindnp promote_typesfloat64rangendimcumsum)imagerSis Z/var/www/html/land-doc-ocr/venv/lib/python3.13/site-packages/skimage/transform/integral.pyintegral_imagershD }))..#5  bjj9 A 5::  HH!H ) Hc 4[R"[R"U55n[R"[R"U55nURSnURn[R"XCS/5nUS:nUS:nX-U-X)--nX$-U-X&)--n[R "X!- S:5(a [ S5e[R"U5nSUR-n[[US- 5SS5n [U5Hn [U 5SSRU 5n U V s/sHoS:HPM n n S[U 5-n[U5Vs/sH$n[R "XS- U -S:5PM& nnU[R"U 5-US- U --nU[U5Vs/sH,nUU(dU[U[!UU55-OSPM. sn- nM U$s sn fs snfs snf)aUse an integral image to integrate over a given window. Parameters ---------- ii : ndarray Integral image. start : List of tuples, each tuple of length equal to dimension of `ii` Coordinates of top left corner of window(s). Each tuple in the list contains the starting row, col, ... index i.e `[(row_win1, col_win1, ...), (row_win2, col_win2,...), ...]`. end : List of tuples, each tuple of length equal to dimension of `ii` Coordinates of bottom right corner of window(s). Each tuple in the list containing the end row, col, ... index i.e `[(row_win1, col_win1, ...), (row_win2, col_win2, ...), ...]`. Returns ------- S : scalar or ndarray Integral (sum) over the given window(s). See Also -------- integral_image : Create an integral image / summed area table. Examples -------- >>> arr = np.ones((5, 6), dtype=float) >>> ii = integral_image(arr) >>> integrate(ii, (1, 0), (1, 2)) # sum from (1, 0) to (1, 2) array([3.]) >>> integrate(ii, [(3, 3)], [(4, 5)]) # sum from (3, 3) to (4, 5) array([6.]) >>> # sum from (1, 0) to (1, 2) and from (3, 3) to (4, 5) >>> integrate(ii, [(1, 0), (3, 3)], [(1, 2), (4, 5)]) array([3., 6.]) rz1end coordinates must be greater or equal to startN1)r atleast_2darrayshapetileany IndexErrorzerosr lenbinr zfillsuminvertfloattuple)iistartendrows total_shapestart_negatives end_negativesrbit_permwidthrbinarybit bool_masksignrbad corner_pointss r integrater80s J MM"((5/ *E -- &C ;;q>D((K''+ay1KaiO!GM  O 3e>P6P PE   -6F0F FC vvs{a  LMM A"''zH HqL!!"% &E8_Q!!%(+126CCZ6 2s9~%?DDk >IBFFUX\Y.!3 4k   ) 45 QY) #  4[  ?B!fD5E-"2345 51 L   & H!3  sH 0+H 3H)numpyr rr8rrr;s$() Xa r