Public Member Functions
	sDF (r, xc, yc, zc, x, y, z)

	gradSdf (xc, yc, zc, x, y, z)

	hessSdf (xc, yc, zc, x, y, z)

	sDF (r, xc, yc, zc, x, y, z)

	gradSdf (xc, yc, zc, x, y, z)

	hessSdf (xc, yc, zc, x, y, z)

Detailed Description

Definition at line 20 of file sdf_hertz_3d.py.

Member Function Documentation

◆ gradSdf() [1/2]

sdf_hertz_3d.Sphere.gradSdf	(	xc,
		yc,
		zc,
		x,
		y,
		z
	)

Definition at line 24 of file sdf_hertz_3d.py.

    def gradSdf(xc, yc, zc, x, y, z):
        c_val_A = 1./np.sqrt((x-xc)**2 + (y-yc)**2 + (z-zc)**2)
        return np.hstack([(c_val_A * (x-xc)).reshape((-1,1)), (c_val_A * (y-yc)).reshape((-1,1)), (c_val_A * (z-zc)).reshape((-1,1))])
 

◆ gradSdf() [2/2]

sdf_hertz_3d.Sphere.gradSdf	(	xc,
		yc,
		zc,
		x,
		y,
		z
	)

Definition at line 24 of file sdf_hertz_3d.py.

    def gradSdf(xc, yc, zc, x, y, z):
        c_val_A = 1./np.sqrt((x-xc)**2 + (y-yc)**2 + (z-zc)**2)
        return np.hstack([(c_val_A * (x-xc)).reshape((-1,1)), (c_val_A * (y-yc)).reshape((-1,1)), (c_val_A * (z-zc)).reshape((-1,1))])
 

◆ hessSdf() [1/2]

sdf_hertz_3d.Sphere.hessSdf	(	xc,
		yc,
		zc,
		x,
		y,
		z
	)

Definition at line 28 of file sdf_hertz_3d.py.

    def hessSdf(xc, yc, zc, x, y, z):
        x, y, z = x-xc, y-yc, z-zc
        denom = (x**2 + y**2 + z**2)**(3/2)
        sqrt_denom = np.sqrt(x**2 + y**2 + z**2)
        Hxx = -x**2/denom + 1/sqrt_denom
        Hzx = -x*z/denom
        Hxy = -x*y/denom
        Hyy = -y**2/denom + 1/sqrt_denom
        Hzy = -y*z/denom
        Hzz = -z**2/denom + 1/sqrt_denom
        # xx, yx, zx, yy, zy, zz
        return np.hstack([Hxx.reshape((-1,1)), Hxy.reshape((-1,1)), Hzx.reshape((-1,1)), Hyy.reshape((-1,1)), Hzy.reshape((-1,1)), Hzz.reshape((-1,1))])

◆ hessSdf() [2/2]

sdf_hertz_3d.Sphere.hessSdf	(	xc,
		yc,
		zc,
		x,
		y,
		z
	)

Definition at line 28 of file sdf_hertz_3d.py.

    def hessSdf(xc, yc, zc, x, y, z):
        x, y, z = x-xc, y-yc, z-zc
        denom = (x**2 + y**2 + z**2)**(3/2)
        sqrt_denom = np.sqrt(x**2 + y**2 + z**2)
        Hxx = -x**2/denom + 1/sqrt_denom
        Hzx = -x*z/denom
        Hxy = -x*y/denom
        Hyy = -y**2/denom + 1/sqrt_denom
        Hzy = -y*z/denom
        Hzz = -z**2/denom + 1/sqrt_denom
        # xx, yx, zx, yy, zy, zz
        return np.hstack([Hxx.reshape((-1,1)), Hxy.reshape((-1,1)), Hzx.reshape((-1,1)), Hyy.reshape((-1,1)), Hzy.reshape((-1,1)), Hzz.reshape((-1,1))])

◆ sDF() [1/2]

sdf_hertz_3d.Sphere.sDF	(	r,
		xc,
		yc,
		zc,
		x,
		y,
		z
	)

Definition at line 21 of file sdf_hertz_3d.py.

    def sDF(r, xc, yc, zc, x, y, z):
        return np.sqrt((x - xc)**2 + (y - yc)**2 + (z - zc)**2) - r
 

◆ sDF() [2/2]

sdf_hertz_3d.Sphere.sDF	(	r,
		xc,
		yc,
		zc,
		x,
		y,
		z
	)