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SurfaceNet.py
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import numpy as np
"""
// The MIT License (MIT)
//
// Copyright (c) 2012-2013 Mikola Lysenko
//
// Permission is hereby granted, free of charge, to any person obtaining a copy
// of this software and associated documentation files (the "Software"), to deal
// in the Software without restriction, including without limitation the rights
// to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
// copies of the Software, and to permit persons to whom the Software is
// furnished to do so, subject to the following conditions:
//
// The above copyright notice and this permission notice shall be included in
// all copies or substantial portions of the Software.
//
// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
// IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
// FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
// AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
// LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
// OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
// THE SOFTWARE.
/**
* SurfaceNets in JavaScript
*
* Written by Mikola Lysenko (C) 2012
*
* MIT License
*
* Based on: S.F. Gibson, "Constrained Elastic Surface Nets". (1998) MERL Tech Report.
*/
/**
* SurfaceNets in python
*
* Written by Markus Joppich (C) 2020
*
* MIT License
*
* Based on: SurfaceNets in JavaScript, S.F. Gibson, "Constrained Elastic Surface Nets". (1998) MERL Tech Report.
*/
"""
class SurfaceNets:
def __init__(self):
self.cube_edges = None
self.edge_table = None
k = 0
cube_edges = {}
for i in range(0,8):
for j in [1,2,4]:
p = i^j
if i <= p:
cube_edges[k] = i
k += 1
cube_edges[k] = p
k += 1
self.cube_edges = [0] * k
for x in cube_edges:
self.cube_edges[x] = cube_edges[x]
self.cube_edges = tuple(self.cube_edges)
self.edge_table = [0] * 256
for i in range(0, 256):
em = 0
for j in range(0, 24, 2):
a = not (i & (1 << cube_edges[j]))
b = not (i & (1 << cube_edges[j+1]))
em |= (1 << (j >> 1)) if a != b else 0
self.edge_table[i] = em
self.edge_table = tuple(self.edge_table)
def surface_net(self, data, level=1):
R = [0] * 3
x = [0] * 3
grid = [0] * 8
vertices = []
faces = []
buf_no = 1
n = 0
m = 0
dims = data.shape
print(dims)
R[0] = 1
R[1] = dims[0] + 1
R[2] = (dims[0] + 1) * (dims[1] + 1)
buffer = [0] * 4096
if R[2] * 2 >= len(buffer):
buffer = [0] * (R[2]*2)
vdata = np.array(data, copy=True)
vdata = np.reshape(vdata, dims[0]*dims[1]*dims[2])
vdata = [0] * dims[0]*dims[1]*dims[2]
vdata = np.array(vdata)
for i in range(0, dims[0]):
for j in range(0, dims[1]):
for k in range(0, dims[2]):
vidx = i + dims[0] * j + dims[0]*dims[1] * k
if vidx >= len(vdata):
print(i,j,k, dims)
vdata[vidx]= data[i,j,k]
visIdx = set()
x[2] = 0
while x[2] < dims[2]-1: # outerloop
m = 1 + (dims[0]+1) * (1 + (buf_no * (dims[1]+1)))
x[1] = 0
while x[1] < dims[1]-1: # middleloop
x[0] = 0
while x[0] < dims[0]-1: # innerloop
mask = 0
g = 0
idx = n
if idx in visIdx:
print("double index")
visIdx.add(idx)
for k in range(0,2):
for j in range(0,2):
for i in range(0,2):
p = vdata[idx] - level
grid[g] = p
mask |= (1 << g) if (p<0) else 0
# loop stuff
#i += 1
g += 1
idx += 1
#j += 1
idx += dims[0]-2
idx += dims[0] * (dims[1]-2)
#print(n, vdata[n], mask, x, dims)
if mask == 0 or mask == 0xff:
#if mask == 0xff:
# inObj[x[0], x[1], x[2]] = 1
#elif mask == 0:
# outObj[x[0], x[1], x[2]] = 0
# innerloop
x[0] += 1
n += 1
m += 1
continue
edge_mask = self.edge_table[mask]
v = [0] * 3
e_count = 0
for i in range(0, 12):
if (edge_mask & (1<<i)) == 0:
continue
e_count += 1
e0 = self.cube_edges[ i << 1]
e1 = self.cube_edges[(i << 1) + 1]
g0 = grid[e0]
g1 = grid[e1]
t = g0-g1
if abs(t) > 1e-2:
t = g0 / t
else:
continue
k=1
for j in range(0, 3):
a = e0 & k
b = e1 & k
if (a!= b):
v[j] += 1.0-t if a else t
else:
v[j] += 1.0 if a else 0.0
k = k << 1
s = 1.0/e_count
for i in range(0, 3):
v[i] = x[i] + s * v[i]
#print(m, len(buffer), len(vertices))
buffer[m] = len(vertices)
vertices.append(v)
for i in range(0,3):
if not (edge_mask & (1 << i)):
continue
iu = (i+1)%3
iv = (i+2)%3
if x[iu] == 0 or x[iv] == 0:
continue
du = R[iu]
dv = R[iv]
#print(m, iu, iv, du, dv, m-du-dv, m-du, m-dv)
if (mask & 1):
faces.append((
buffer[m], buffer[m-du-dv], buffer[m-du]
))
faces.append((
buffer[m], buffer[m-dv], buffer[m-du-dv]
))
else:
faces.append((
buffer[m], buffer[m-du-dv], buffer[m-dv]
))
faces.append((
buffer[m], buffer[m-du], buffer[m-du-dv]
))
## inner loop update
x[0] += 1
n += 1
m += 1
## middle loop update
x[1] += 1
n += 1
m += 2
if x[2] % 10 == 0:
print(x)
## outer loop update
x[2] += 1
n += dims[0]
buf_no ^= 1
R[2] = -R[2]
print("visIdx", len(visIdx), dims[0]*dims[1]*dims[2])
return vertices, faces
sn = SurfaceNets()