o ç^i× ã@s*ddlZddlmZd dd„Zdd„ZdS) éN)Úelliprg©çð?rrFc Cs¤|dks |dks |dkrtdƒ‚tjdtj|}t tj|||f |¡}t tj|||f|d¡}tdƒD]6}||||ddkrQ||d8<t ||||||¡} d| vrq||t | | dk¡8<q;tj|d|d|d…|d|d|d…|d|d|d…f\} } } |s¶| t |ƒd| t |ƒd| t |ƒddk} | S| t |ƒd| t |ƒd| t |ƒdd} | S)aàGenerate 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. rú&Parameters a, b, and c must all be > 0)érrréé) Ú ValueErrorÚnpÚr_ÚceilÚfloorÚrangeÚarangeÚmaxÚmgridÚfloat)ÚaÚbÚcÚspacingÚlevelsetÚoffsetÚlowÚhighÚdimÚnumÚxÚyÚzÚarr©r!úN/var/www/html/RAG/RAG_venv/lib/python3.10/site-packages/skimage/draw/draw3d.pyÚ ellipsoids. €þ ÿ44þr#cCsj|dks |dks |dkrtdƒ‚dtj|||}d|td|dd|dd|dƒ}||fS)aŠCalculate 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 rrgUUUUUUõ?rrr)r r Úpir)rrrÚvolÚsurfr!r!r"Úellipsoid_statsAs !,r')rF)Únumpyr Ú scipy.specialrr#r'r!r!r!r"Ús   <