0-Ph (ddlZddlmZddZdZdS)N)elliprg?rrFc .|dks |dks|dkrtdtjdtj|z}tjtj|||f |z }tjtj|||f|zdz}t dD]}||||z dzdkr||xxdzcc<tj||||||} d| vr,||xxtj| | dkzcc<tj|d|d|d|d|d|d|d|d|df\} } } |sF| t|z dz| t|z dzz| t|z dzzdk} nD| t|z dz| t|z dzz| t|z dzzdz } | S)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/test/jupyter/venv/lib/python3.11/site-packages/skimage/draw/draw3d.py ellipsoidr$s: QAFFQABBB U7^beGn ,F '25Aq>/F* + +C 8BE!Q'NV+a/ 0 0DQxx-- IC A % * * HHHMHHHiC$s)WS\:: C<< HHHs37|,, ,HHHh Aa71:% Aa71:% Aa71:% 'GAq! TE!HH "a%((lq%88AaLQ;NNSTTE!HH "a%((lq%88AaLQ;NNRSS Jc|dks |dks|dkrtddtjz|z|z|z}d|ztd|dzz d|dzz d|dzz z}||fS)aCalculate 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?r rr )r r pir)rrrvolsurfs r#ellipsoid_statsr*AsB QAFFQABBB BE/A  !A %C s7WQAXq1a4xQT:: :D 9r%)rF)numpyr scipy.specialrr$r*r%r#r.sQ!!!!!!9999x*****r%