a6ds ,ddlZddlmZmZddZdZdS)N) ellipkinc ellipeinc?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)a Generates ellipsoid with semimajor axes aligned with grid dimensions on grid with specified `spacing`. Parameters ---------- a : float Length of semimajor axis aligned with x-axis. b : float Length of semimajor axis aligned with y-axis. c : float Length of semimajor axis aligned with z-axis. spacing : tuple of floats, length 3 Spacing in (x, y, z) 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 ------- ellip : (N, M, 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)r r r ) ValueErrornpr_ceilfloorrangearangemaxmgridfloat)abcspacinglevelsetoffsetlowhighdimnumxyzarrs 3lib/python3.11/site-packages/skimage/draw/draw3d.py ellipsoidr%s'8 QAFFQABBB U7^beGn ,F 'BE!Q'N"V+ , ,C 8BE!Q'NV+a/ 0 0DQxx-- IC A % * * HHHMHHHiC$s)WS\:: C<< HHHs37|,, ,HHHhs1vd1ggaj01vd1ggaj01vd1ggaj012GAq! (E!HH "E!HH "#E!HH "#'()E!HH "E!HH "#E!HH "#&'( JcX|dks |dks|dkrtd|||g}|d|d}|d}|d}dtjz|z|z|z}tjd|dz|d zz z d z}t |dz|dzz d z}|dz|dz|dzz zt |dz|dz|dzz zz }t ||}t||} dtjz|dz||dzz|z |zz||z| zzz} || fS) a Calculates analytical surface area and volume for ellipsoid with semimajor axes aligned with grid dimensions of specified `spacing`. Parameters ---------- a : float Length of semimajor axis aligned with x-axis. b : float Length of semimajor axis aligned with y-axis. c : float Length of semimajor axis aligned with z-axis. Returns ------- vol : float Calculated volume of ellipsoid. surf : float Calculated surface area of ellipsoid. rrT)reverser r gUUUUUU?rg@g?)r sortr piarcsinrellip_Fellip_E) rrrabcvolphidmFEsurfs r$ellipsoid_statsr6Bsn, QAFFQABBB a)CHHTH AA AA AA 25.1 q 1 $C )R16Q"W-.36 7 7C qAvQ3&''A a16AF? # qAva!q&) * * +AQAQA ru9QAF Q*+A " #D 9r&)rF) numpyr scipy.specialrr,rr-r%r6r&r$r:sWFFFFFFFF::::z00000r&