9i (SSKrSSKJr SSjrSrg)N)elliprgc US::d US::dUS::a [S5e[RS[RU-n[R"[RXU4*U- 5n[R"[RXU4U-S-5n[ S5HjnXxXh- S-S:Xa Xh==S-ss'[R "XhXxX85n SU ;dMEXh==[R"XS:5-ss'Ml [RUSUSUS2USUSUS2USUSUS24upn U(d:U [U5- S-U [U5- S--U [U5- S--S:*n U $U [U5- S-U [U5- S--U [U5- S--S- n U $)aGenerate ellipsoid for given semi-axis lengths. The respective semi-axis lengths are given along three dimensions in Cartesian coordinates. Each dimension may use a different grid spacing. Parameters ---------- a : float Length of semi-axis along x-axis. b : float Length of semi-axis along y-axis. c : float Length of semi-axis along z-axis. spacing : 3-tuple of floats Grid spacing in three spatial dimensions. levelset : bool If True, returns the level set for this ellipsoid (signed level set about zero, with positive denoting interior) as np.float64. False returns a binarized version of said level set. Returns ------- ellipsoid : (M, N, P) array Ellipsoid centered in a correctly sized array for given `spacing`. Boolean dtype unless `levelset=True`, in which case a float array is returned with the level set above 0.0 representing the ellipsoid. r&Parameters a, b, and c must all be > 0)rrr) ValueErrornpr_ceilfloorrangearangemaxmgridfloat)abcspacinglevelsetoffsetlowhighdimnumxyzarrs S/var/www/html/land-doc-ocr/venv/lib/python3.13/site-packages/skimage/draw/draw3d.py ellipsoidr"s: QAFQABB UU7^beeGn ,F ''255q>/F* +C 88BEE!'NV+a/ 0DQx I A % * HMHii$)W\: C< Hs7|, ,H hh Aa71:% Aa71:% Aa71:% 'GA! E!H "a%(lq%88AaLQ;NNSTT JE!H "a%(lq%88AaLQ;NNRSS JcUS::d US::dUS::a [S5eS[R-U-U-U-nSU-[SUS-- SUS-- SUS-- 5-nX44$)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 rrgUUUUUU?rrr)r r pir)rrrvolsurfs r!ellipsoid_statsr(As{B QAFQABB BEE/A  !A %C s7WQAXq1a4xQT: :D 9r#))?r)r)F)numpyr scipy.specialrr"r(r#r!r-s!9x*r#