+ Ai *^RIt^RIHtRRltRtR#)N)elliprgc (V^8:gV^8:gV^8:d \R4h\PR,\PV,,p\P!\PWV3,)V, 4p\P!\PWV3,V,^,4p\ ^4FpWx,Wh,, ^,^8XdWh;;,^,uu&\P !Wh,Wx,W8,4p ^V 9gKkWh;;,\P!W^8,4,uu&K \PV^,V^,V^,1V^,V^,V^,1V^,V^,V^,13,wrp V'g[V \V4, ^,V \V4, ^,,V \V4, ^,,^8*p V #V \V4, ^,V \V4, ^,,V \V4, ^,,^, p V #)aGenerate ellipsoid for given semi-axis lengths. The respective semi-axis lengths are given along three dimensions in Cartesian coordinates. Each dimension may use a different grid spacing. Parameters ---------- a : float Length of semi-axis along x-axis. b : float Length of semi-axis along y-axis. c : float Length of semi-axis along z-axis. spacing : 3-tuple of floats Grid spacing in three spatial dimensions. levelset : bool If True, returns the level set for this ellipsoid (signed level set about zero, with positive denoting interior) as np.float64. False returns a binarized version of said level set. Returns ------- ellipsoid : (M, N, P) array Ellipsoid centered in a correctly sized array for given `spacing`. Boolean dtype unless `levelset=True`, in which case a float array is returned with the level set above 0.0 representing the ellipsoid. &Parameters a, b, and c must all be > 0)rr) ValueErrornpr_ceilfloorrangearangemaxmgridfloat)abcspacinglevelsetoffsetlowhighdimnumxyzarrs&&&&& Q/var/www/html/photoedit/myenv/lib/python3.14/site-packages/skimage/draw/draw3d.py ellipsoidr s: QAFQABB UU7^beeGn ,F ''255q>/F* +C 88BEE!'NV+a/ 0DQx I A % * HMHii$)W\: C< Hs7|, ,H hh Aa71:% Aa71:% Aa71:% 'GA! E!H "a%(lq%88AaLQ;NNSTT JE!H "a%(lq%88AaLQ;NNRSS Jc*V^8:gV^8:gV^8:d \R4hR\P,V,V,V,p^V,\^V^,, ^V^,, ^V^,, 4,pW43#)a*Calculate analytical volume and surface area of an ellipsoid. The surface area of an ellipsoid is given by .. math:: S=4\pi b c R_G\!\left(1, \frac{a^2}{b^2}, \frac{a^2}{c^2}\right) where :math:`R_G` is Carlson's completely symmetric elliptic integral of the second kind [1]_. The latter is implemented as :py:func:`scipy.special.elliprg`. Parameters ---------- a : float Length of semi-axis along x-axis. b : float Length of semi-axis along y-axis. c : float Length of semi-axis along z-axis. Returns ------- vol : float Calculated volume of ellipsoid. surf : float Calculated surface area of ellipsoid. References ---------- .. [1] Paul Masson (2020). Surface Area of an Ellipsoid. https://analyticphysics.com/Mathematical%20Methods/Surface%20Area%20of%20an%20Ellipsoid.htm rgUUUUUU?)rrpir)rrrvolsurfs&&& rellipsoid_statsr&As{B QAFQABB BEE/A  !A %C s7WQAXq1a4xQT: :D 9r!))?r'r'F)numpyr scipy.specialrr r&r!rr+s!9x*r!