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ImplicitSurfaceNetwork
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update tests

V2-integral
Zhicheng Wang 6 days ago
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7d79d2bc77
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4 changed files with 902 additions and 68 deletions
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  1. 198
      application/test_circle_gwn.py
  2. 331
      application/test_extrude.cpp
  3. 324
      application/test_occ.py
  4. 117
      application/test_occ_draw.py

198
application/test_circle_gwn.py
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import math
import numpy as np
import matplotlib.pyplot as plt
from mpl_toolkits.axes_grid1 import make_axes_locatable
def arc_gwn_batch(a, b, bulge, P):
"""
向量化批处理接口：对 (N, 2) 的点阵 P 同时计算单段圆弧的广义绕数 W。
"""
a = np.asarray(a, dtype=float)
b = np.asarray(b, dtype=float)
P = np.asarray(P, dtype=float)
half_ab = 0.5 * (a + b)
bisec_vec = 0.5 * np.array([a[1] - b[1], b[0] - a[0]])
center = half_ab + bisec_vec / bulge
ca = a - center
cb = b - center
cp = P - center
D = np.linalg.norm(cp, axis=1)
r = np.linalg.norm(ca)
theta = 2.0 * math.atan(bulge)
W = np.empty(len(P))
mask_center = D < 1e-12
mask_circle = np.abs(D - r) < 1e-12
mask_normal = ~(mask_circle)
# W[mask_center] = theta / (2.0 * math.pi)
W[mask_circle] = theta / (4.0 * math.pi)
cp_n = cp[mask_normal]
D_n = D[mask_normal]
sigma = np.where(r > D_n, 1.0, -1.0)
Rd = r * D_n
r_p_D = r + D_n
abs_r_D = np.abs(r - D_n)
dot_a = ca.dot(cp_n.T)
cross1 = cp_n[:, 0] * ca[1] - ca[0] * cp_n[:, 1]
Ga = np.arctan2(r_p_D * cross1, abs_r_D * (Rd + dot_a))
dot_b = cb.dot(cp_n.T)
cross2 = cp_n[:, 0] * cb[1] - cb[0] * cp_n[:, 1]
Gb = np.arctan2(r_p_D * cross2, abs_r_D * (Rd + dot_b))
delta = Gb - Ga
fix = delta * theta < 0.0
delta[fix] += math.copysign(math.pi, theta)
two_pi_W = 0.5 * theta + sigma * delta
W[mask_normal] = two_pi_W / (2.0 * math.pi)
return W
def plot_multi_arc_gwn_field(arcs, margin=0.5, nx=400, ny=400):
"""
绘制多段圆弧的广义绕数之和。
参数
----
arcs : list of tuple
每段圆弧表示为 (a, b, bulge)，其中 a, b 为长度为 2 的序列。
margin : float
AABB 外扩边界。
nx, ny : int
采样分辨率。
"""
arcs = [(np.asarray(a, dtype=float), np.asarray(b, dtype=float), float(bulge))
for a, b, bulge in arcs]
# ---- 1. 计算所有圆弧的几何信息，确定全局 AABB ----
all_arc_x = []
all_arc_y = []
all_centers = []
all_rs = []
for a, b, bulge in arcs:
half_ab = 0.5 * (a + b)
bisec_vec = 0.5 * np.array([a[1] - b[1], b[0] - a[0]])
center = half_ab + bisec_vec / bulge
r = np.linalg.norm(a - center)
theta = 2.0 * math.atan(bulge)
start_angle = math.atan2(a[1] - center[1], a[0] - center[0])
end_angle = start_angle + theta
t_arc = np.linspace(start_angle, end_angle, 200)
arc_x = center[0] + r * np.cos(t_arc)
arc_y = center[1] + r * np.sin(t_arc)
all_arc_x.append(arc_x)
all_arc_y.append(arc_y)
all_centers.append(center)
all_rs.append(r)
# 全局 AABB
x_min = min(ax.min() for ax in all_arc_x) - margin
x_max = max(ax.max() for ax in all_arc_x) + margin
y_min = min(ay.min() for ay in all_arc_y) - margin
y_max = max(ay.max() for ay in all_arc_y) + margin
# ---- 2. 均匀采样并累加所有圆弧的 GWN ----
xs = np.linspace(x_min, x_max, nx)
ys = np.linspace(y_min, y_max, ny)
X, Y = np.meshgrid(xs, ys)
points = np.stack([X.ravel(), Y.ravel()], axis=1)
W = np.zeros(len(points))
for a, b, bulge in arcs:
W += arc_gwn_batch(a, b, bulge, points)
W = W.reshape(X.shape)
# ---- 3. 三分区独立归一化 ----
eps = np.finfo(float).eps * 1e6
bound_low = -eps
bound_high = eps
# 负区
W_neg = W.copy()
W_neg[W >= bound_low] = np.nan
W_min = np.nanmin(W_neg)
if not np.isnan(W_min):
W_neg = (bound_low - W_neg) / (bound_low - W_min)
# 零区
W_zero = W.copy()
W_zero[(W < bound_low) | (W > bound_high)] = np.nan
W_zero = (W_zero - bound_low) / (2.0 * eps)
# 正区
W_pos = W.copy()
W_pos[W <= bound_high] = np.nan
W_max = np.nanmax(W_pos)
if not np.isnan(W_max):
W_pos = (W_pos - bound_high) / (W_max - bound_high)
# ---- 4. 绘图 ----
fig, ax = plt.subplots(figsize=(10, 8))
im_neg = ax.pcolormesh(X, Y, W_neg, cmap='Blues', vmin=0, vmax=1, shading='auto')
im_zero = ax.pcolormesh(X, Y, W_zero, cmap='Greys', vmin=0, vmax=1, shading='auto')
im_pos = ax.pcolormesh(X, Y, W_pos, cmap='Reds', vmin=0, vmax=1, shading='auto')
# 叠加所有圆弧
for idx, (a, b, bulge) in enumerate(arcs):
ax.plot(all_arc_x[idx], all_arc_y[idx], 'k-', linewidth=2.5, zorder=4)
ax.plot(a[0], a[1], 'go', markersize=7, zorder=5)
ax.plot(b[0], b[1], 'mo', markersize=7, zorder=5)
ax.plot(all_centers[idx][0], all_centers[idx][1], 'k+', markersize=8, mew=1.5, zorder=5)
ax.set_aspect('equal')
ax.set_xlim(x_min, x_max)
ax.set_ylim(y_min, y_max)
ax.set_title(f'Multi-Arc GWN Sum ({len(arcs)} arcs)')
# ---- 5. 三个独立 colorbar ----
divider = make_axes_locatable(ax)
cax_neg = divider.append_axes("left", size="5%", pad=0.4)
cbar_neg = fig.colorbar(im_neg, cax=cax_neg, orientation='vertical')
cbar_neg.ax.yaxis.set_ticks_position('left')
cbar_neg.ax.yaxis.set_label_position('left')
cbar_neg.set_label('Negative $W$ (normalized)', rotation=90, labelpad=10)
cbar_neg.set_ticks([0, 1])
cbar_neg.set_ticklabels([f'{bound_low:.2e}', f'{W_min:.3f}' if not np.isnan(W_min) else 'N/A'])
cax_pos = divider.append_axes("right", size="5%", pad=0.4)
cbar_pos = fig.colorbar(im_pos, cax=cax_pos, orientation='vertical')
cbar_pos.set_label('Positive $W$ (normalized)', rotation=270, labelpad=15)
cbar_pos.set_ticks([0, 1])
cbar_pos.set_ticklabels([f'{bound_high:.2e}', f'{W_max:.3f}' if not np.isnan(W_max) else 'N/A'])
cax_zero = divider.append_axes("bottom", size="5%", pad=0.6)
cbar_zero = fig.colorbar(im_zero, cax=cax_zero, orientation='horizontal')
cbar_zero.set_label(f'Near-zero $W$ (normalized) [{bound_low:.2e}, {bound_high:.2e}]', labelpad=5)
cbar_zero.set_ticks([0, 1])
cbar_zero.set_ticklabels([f'{bound_low:.2e}', f'{bound_high:.2e}'])
plt.tight_layout()
plt.show()
# ==================== 主程序 ====================
if __name__ == '__main__':
# 示例 1：两段圆弧拼成近似整圆
arcs = [
([2.0, 0.0], [0.0, 0.0], float("inf")), # 上半圆
([0.0, 0.0], [2.0, 0.0], float("inf")), # 下半圆（注意 bulge>0 表示逆时针）
]
plot_multi_arc_gwn_field(arcs, margin=0.5, nx=1024, ny=1024)

331
application/test_extrude.cpp
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#include <iostream>
#include <array>
#include <fstream>
#include <cstdio>
#include <vector>
#include "io_primitive.h"
#include "math/math_defs.hpp"
#include "mimalloc.h"
#include "primitive_descriptor.h"
#include <solve.h>
int main()
void export_obj(const char* filename, const polymesh_t& mesh) {
std::ofstream f(filename);
if (!f) { std::cerr << "Cannot open " << filename << std::endl; return; }
for (uint32_t i = 0; i < mesh.num_vertices; ++i) {
auto& v = mesh.vertices[i];
f << "v " << v.x << " " << v.y << " " << v.z << "\n";
}
uint32_t offset = 0;
for (uint32_t fi = 0; fi < mesh.num_faces; ++fi) {
uint32_t count = mesh.vertex_counts[fi];
f << "f";
for (uint32_t j = 0; j < count; ++j)
f << " " << (mesh.faces[offset + j] + 1);
f << "\n";
offset += count;
}
std::cout << " -> " << filename << ": " << mesh.num_vertices << " verts, " << mesh.num_faces << " faces" << std::endl;
}
void run_test_case(const char* name,
polyline_pattern_descriptor_t& pattern_desc,
polyline_axis_descriptor_t& axis_desc)
{
helixline_axis_descriptor_t axis_desc{};
axis_desc.axis_start = {0, 0, 0};
axis_desc.axis_end = {0, 0, 13};
axis_desc.is_righthanded = true;
axis_desc.radius = 1.;
axis_desc.advance_per_round = 1;
axis_desc.start_direction = {1, 0, 0};
// polyline_axis_descriptor_t axis_desc{};
// std::vector points_{
// vector3d{0, 0, 0},
// vector3d{0, 1, 1}
// };
// axis_desc.point_number = 2;
// axis_desc.points = points_.data();
// std::vector bulges_{std::tan(pi / 8)};
// axis_desc.bulge_number = 1;
// axis_desc.bulges = bulges_.data();
// axis_desc.reference_normal = {1, 0, 0};
// axis_desc.is_closed = false;
polyline_pattern_descriptor_t pattern_desc{};
pattern_desc.anchor = {0, 0};
std::vector points{
vector2d{-.1, 0},
vector2d{.1, 0},
vector2d{-.1, 0}
};
pattern_desc.point_number = 3;
pattern_desc.points = points.data();
std::vector bulges{1., 1.};
pattern_desc.bulge_number = 2;
pattern_desc.bulges = bulges.data();
auto primitive_data_center = create_primitive_data_center();
auto pattern = create_pattern(primitive_data_center, &pattern_desc, PATTERN_TYPE_POLYLINE);
auto axis = create_extrude_axis(primitive_data_center, &axis_desc, AXIS_TYPE_EXTRUDE_HELIXLINE);
auto extrude = create_param_primitive(&axis, &pattern, primitive_data_center, PRIMITIVE_TYPE_EXTRUDE);
std::cout << "primitive created..." << std::endl;
auto runtime_blobtree = create_blobtree();
auto node_iter1 = blobtree_add_primitive_node(runtime_blobtree, extrude);
auto baked_blobtree = bake_blobtree(runtime_blobtree);
destroy_blobtree(runtime_blobtree);
std::cout << "blobtree created..." << std::endl;
s_settings settings{};
settings.resolution = 32;
settings.scene_aabb_margin = 1e-5;
settings.restricted_primitive_bounding_test = true;
settings.integrand_density = 32;
auto solver = create_solver(baked_blobtree, settings);
auto dc = create_primitive_data_center();
auto pat = create_pattern(dc, &pattern_desc, PATTERN_TYPE_POLYLINE);
auto ax = create_extrude_axis(dc, &axis_desc, AXIS_TYPE_EXTRUDE_POLYLINE);
auto ext = create_param_primitive(&ax, &pat, dc, PRIMITIVE_TYPE_EXTRUDE);
auto rt = create_blobtree();
blobtree_add_primitive_node(rt, ext);
auto baked = bake_blobtree(rt);
destroy_blobtree(rt);
s_settings s{};
s.resolution = 32;
s.scene_aabb_margin = 1e-5;
s.restricted_primitive_bounding_test = true;
s.integrand_density = 32;
auto solver = create_solver(baked, s);
auto result = generate_polymesh(solver);
// auto integrator = generate_integral_scheme(solver);
print_statistics(solver);
std::cout << name << ": " << (result.success ? "OK" : "FAIL")
<< " verts=" << result.mesh.num_vertices
<< " faces=" << result.mesh.num_faces << std::endl;
// integrand_handle_t handle{1., 0, 0, 0};
// std::cout << "surface area: " << calculate_surface_integrand(integrator, handle) << std::endl;
// std::cout << "volume: " << calculate_volume_integrand(integrator, handle) << std::endl;
// std::cout << "baseline (by polymesh): \n";
// auto baseline_integral = polymesh_area_and_volume(solver);
// std::cout << "surface area: " << baseline_integral.area << std::endl;
// std::cout << "volume: " << baseline_integral.volume << std::endl;
char filename[256];
snprintf(filename, sizeof(filename), "test_extrude_%s.obj", name);
export_obj(filename, result.mesh);
destroy_solver(solver);
destroy_baked_blobtree(baked_blobtree);
destroy_primitive(extrude);
destroy_primitive_data_center(primitive_data_center);
destroy_baked_blobtree(baked);
destroy_primitive(ext);
destroy_primitive_data_center(dc);
}
int main()
{
const double b_quarter = std::tan(pi / 8); // tan(theta/4), theta=pi/2 -> quarter circle
// --- Curved axis: quarter-circle arc from (0,0,0) to (0,1,1) ---
polyline_axis_descriptor_t axis_curved{};
std::vector axis_pts_curved{ vector3d{0, 0, 0}, vector3d{0, 1, 1} };
axis_curved.point_number = 2;
axis_curved.points = axis_pts_curved.data();
std::vector axis_blg_curved{ b_quarter };
axis_curved.bulge_number = 1;
axis_curved.bulges = axis_blg_curved.data();
axis_curved.reference_normal = {1, 0, 0};
axis_curved.is_closed = false;
// --- Straight axis: from (0,0,0) to (0,0,1) ---
polyline_axis_descriptor_t axis_straight{};
std::vector axis_pts_straight{ vector3d{0, 0, 0}, vector3d{0, 0, 1} };
axis_straight.point_number = 2;
axis_straight.points = axis_pts_straight.data();
std::vector axis_blg_straight{ 0. };
axis_straight.bulge_number = 1;
axis_straight.bulges = axis_blg_straight.data();
axis_straight.reference_normal = {1, 0, 0};
axis_straight.is_closed = false;
// ==================================================================
// Test 1: Original semicircle (reference, all arcs, legacy bulge=1)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{ vector2d{-.1, 0}, vector2d{.1, 0}, vector2d{-.1, 0} };
pat.point_number = 3;
pat.points = pts.data();
std::vector blg{ 1., 1. };
pat.bulge_number = 2;
pat.bulges = blg.data();
run_test_case("01_original_semicircle", pat, axis_curved);
}
// ==================================================================
// Test 2: Rectangle (all lines, bulge=0)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.1, -.1}, vector2d{.1, -.1},
vector2d{.1, .1}, vector2d{-.1, .1},
vector2d{-.1, -.1}
};
pat.point_number = 5;
pat.points = pts.data();
std::vector blg{ 0., 0., 0., 0. };
pat.bulge_number = 4;
pat.bulges = blg.data();
run_test_case("02_rectangle", pat, axis_curved);
}
// ==================================================================
// Test 3: Curved diamond (4 quarter-circle arcs, total theta=2pi)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.12, 0}, vector2d{0, .12},
vector2d{.12, 0}, vector2d{0, -.12},
vector2d{-.12, 0}
};
pat.point_number = 5;
pat.points = pts.data();
std::vector blg{ b_quarter, b_quarter, b_quarter, b_quarter };
pat.bulge_number = 4;
pat.bulges = blg.data();
run_test_case("03_curved_diamond", pat, axis_curved);
}
// ==================================================================
// Test 4: Rectangle with one rounded side (3 lines + 1 arc)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.12, -.08}, vector2d{.12, -.08},
vector2d{.12, .08}, vector2d{-.12, .08},
vector2d{-.12, -.08}
};
pat.point_number = 5;
pat.points = pts.data();
std::vector blg{ 0., 0., 0., b_quarter };
pat.bulge_number = 4;
pat.bulges = blg.data();
run_test_case("04_rect_one_arc", pat, axis_curved);
}
// ==================================================================
// Test 5: Alternating line-arc hexagon (3 lines + 3 quarter arcs)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.10, -.05}, vector2d{0., -.10},
vector2d{.10, -.05}, vector2d{.10, .05},
vector2d{0., .10}, vector2d{-.10, .05},
vector2d{-.10, -.05}
};
pat.point_number = 7;
pat.points = pts.data();
std::vector blg{ 0., b_quarter, 0., b_quarter, 0., b_quarter };
pat.bulge_number = 6;
pat.bulges = blg.data();
run_test_case("05_alternating_hex", pat, axis_curved);
}
// ==================================================================
// Test 6: Rectangle on straight axis (baseline, all lines)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.1, -.1}, vector2d{.1, -.1},
vector2d{.1, .1}, vector2d{-.1, .1},
vector2d{-.1, -.1}
};
pat.point_number = 5;
pat.points = pts.data();
std::vector blg{ 0., 0., 0., 0. };
pat.bulge_number = 4;
pat.bulges = blg.data();
run_test_case("06_rect_straight_axis", pat, axis_straight);
}
// ==================================================================
// Test 7: Curved diamond on straight axis
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.12, 0}, vector2d{0, .12},
vector2d{.12, 0}, vector2d{0, -.12},
vector2d{-.12, 0}
};
pat.point_number = 5;
pat.points = pts.data();
std::vector blg{ b_quarter, b_quarter, b_quarter, b_quarter };
pat.bulge_number = 4;
pat.bulges = blg.data();
run_test_case("07_curved_diamond_straight", pat, axis_straight);
}
// ==================================================================
// Test 8: Pill/Stadium shape (2 lines + 2 quarter arcs, straight axis)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.06, -.12}, vector2d{-.06, .12},
vector2d{ .06, .12}, vector2d{ .06, -.12},
vector2d{-.06, -.12}
};
pat.point_number = 5;
pat.points = pts.data();
std::vector blg{ 0., b_quarter, 0., b_quarter };
pat.bulge_number = 4;
pat.bulges = blg.data();
run_test_case("08_pill_shape", pat, axis_straight);
}
// ==================================================================
// Test 9: Mixed octagon (4 lines + 4 arcs, straight axis)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.12, -.08}, vector2d{-.06, -.12},
vector2d{ .06, -.12}, vector2d{ .12, -.08},
vector2d{ .12, .08}, vector2d{ .06, .12},
vector2d{-.06, .12}, vector2d{-.12, .08},
vector2d{-.12, -.08}
};
pat.point_number = 9;
pat.points = pts.data();
std::vector blg{ b_quarter, 0., b_quarter, 0., b_quarter, 0., b_quarter, 0. };
pat.bulge_number = 8;
pat.bulges = blg.data();
run_test_case("09_mixed_octagon", pat, axis_straight);
}
// ==================================================================
// Test 10: Rounded triangle (2 lines + 1 arc, straight axis)
// ==================================================================
{
polyline_pattern_descriptor_t pat{};
pat.anchor = {0, 0};
std::vector pts{
vector2d{-.10, -.10}, vector2d{.10, -.10},
vector2d{-.10, .10}, vector2d{-.10, -.10}
};
pat.point_number = 4;
pat.points = pts.data();
std::vector blg{ 0., b_quarter, 0. };
pat.bulge_number = 3;
pat.bulges = blg.data();
run_test_case("10_rounded_triangle", pat, axis_straight);
}
std::cout << "\nAll tests completed." << std::endl;
return 0;
}

324
application/test_occ.py
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import numpy as np
import time
from math import cos, sin, pi, sqrt
from typing import List, Optional
# --- OCC Core imports ---
from OCC.Core.gp import (
gp_Pnt, gp_Dir, gp_Ax2, gp_Ax3, gp_Vec, gp_Trsf, gp_Circ
)
from OCC.Core.BRepPrimAPI import (
BRepPrimAPI_MakeBox,
BRepPrimAPI_MakeCylinder,
BRepPrimAPI_MakeSphere
)
from OCC.Core.BRepBuilderAPI import (
BRepBuilderAPI_MakeEdge, BRepBuilderAPI_MakeWire,
BRepBuilderAPI_MakeFace, BRepBuilderAPI_Transform
)
from OCC.Core.BRepOffsetAPI import BRepOffsetAPI_MakePipe
from OCC.Core.BRepAlgoAPI import (
BRepAlgoAPI_Fuse, BRepAlgoAPI_Cut, BRepAlgoAPI_Common
)
from OCC.Core.BRepMesh import BRepMesh_IncrementalMesh
from OCC.Core.BRep import BRep_Tool
from OCC.Core.TopExp import TopExp_Explorer
from OCC.Core.TopAbs import TopAbs_FACE, TopAbs_REVERSED
from OCC.Core.TopoDS import topods_Face
from OCC.Core.TopLoc import TopLoc_Location
from OCC.Core.Bnd import Bnd_Box
from OCC.Core.BRepBndLib import brepbndlib_Add
from OCC.Core.TColgp import TColgp_Array1OfPnt
from OCC.Core.GeomAPI import GeomAPI_PointsToBSpline
from OCC.Core.BRepCheck import BRepCheck_Analyzer
# ============================================================
# 1. 基础几何体构造
# ============================================================
def make_box(x: float, y: float, z: float,
dx: float, dy: float, dz: float):
axes = gp_Ax2(gp_Pnt(x, y, z), gp_Dir(0, 0, 1))
return BRepPrimAPI_MakeBox(axes, dx, dy, dz).Shape()
def make_cylinder(cx: float, cy: float, cz: float,
radius: float, height: float,
axis_dir=None):
if axis_dir is None:
axis_dir = gp_Dir(0, 0, 1)
axes = gp_Ax2(gp_Pnt(cx, cy, cz), axis_dir)
return BRepPrimAPI_MakeCylinder(axes, radius, height).Shape()
def make_sphere(cx: float, cy: float, cz: float, radius: float):
center = gp_Pnt(cx, cy, cz)
return BRepPrimAPI_MakeSphere(center, radius).Shape()
# ============================================================
# 2. 螺旋线扫掠
# ============================================================
def make_bspline_helix(radius: float, pitch: float,
t0: float, t1: float, n_points: int = 128):
points = TColgp_Array1OfPnt(1, n_points)
for i in range(n_points):
t = t0 + (t1 - t0) * i / (n_points - 1)
points.SetValue(i + 1, gp_Pnt(
radius * cos(t),
radius * sin(t),
pitch * t / (2.0 * pi)
))
approx = GeomAPI_PointsToBSpline(points)
return approx.Curve()
def make_helix_sweep(helix_r: float, pitch: float, turns: float,
section_r: float, n_points: int = 128):
t0, t1 = 0.0, 2.0 * pi * turns
helix_curve = make_bspline_helix(helix_r, pitch, t0, t1, n_points)
helix_edge = BRepBuilderAPI_MakeEdge(helix_curve).Edge()
helix_wire = BRepBuilderAPI_MakeWire(helix_edge).Wire()
sec_axes = gp_Ax2(gp_Pnt(helix_r, 0.0, 0.0), gp_Dir(0, 0, 1))
sec_circ = gp_Circ(sec_axes, section_r)
sec_edge = BRepBuilderAPI_MakeEdge(sec_circ).Edge()
sec_wire = BRepBuilderAPI_MakeWire(sec_edge).Wire()
sec_face = BRepBuilderAPI_MakeFace(sec_wire).Face()
pipe = BRepOffsetAPI_MakePipe(helix_wire, sec_face)
pipe.Build()
if not pipe.IsDone():
raise RuntimeError("Helix sweep failed")
return pipe.Shape()
# ============================================================
# 3. 布尔运算
# ============================================================
def boolean_op(a, b, op: str = "fuse"):
if op == "fuse":
api = BRepAlgoAPI_Fuse(a, b)
elif op == "cut":
api = BRepAlgoAPI_Cut(a, b)
elif op == "common":
api = BRepAlgoAPI_Common(a, b)
else:
raise ValueError(f"Unknown op: {op}")
if not api.IsDone():
raise RuntimeError(f"Boolean {op} failed")
result = api.Shape()
analyzer = BRepCheck_Analyzer(result)
if not analyzer.IsValid():
print("[Warning] Boolean result has invalid topology")
return result
def cascade_boolean(shapes: List, op: str = "fuse") -> Optional:
if not shapes:
return None
if len(shapes) == 1:
return shapes[0]
current = shapes[:]
while len(current) > 1:
nxt = []
for i in range(0, len(current) - 1, 2):
nxt.append(boolean_op(current[i], current[i + 1], op))
if len(current) % 2 == 1:
nxt.append(current[-1])
current = nxt
return current[0]
# ============================================================
# 4. 网格提取
# ============================================================
def extract_triangulation(shape, merge_tol: float = 1e-6):
vertices = []
faces = []
vmap = {}
def quantize(v: float) -> int:
return int(round(v / merge_tol))
explorer = TopExp_Explorer(shape, TopAbs_FACE)
while explorer.More():
face = topods_Face(explorer.Current())
loc = TopLoc_Location()
tri = BRep_Tool.Triangulation(face, loc)
if tri is None:
explorer.Next()
continue
trsf = loc.Transformation()
n_nodes = tri.NbNodes()
n_tri = tri.NbTriangles()
local2global = [0] * (n_nodes + 1)
for i in range(1, n_nodes + 1):
p = tri.Node(i).Transformed(trsf)
key = (quantize(p.X()), quantize(p.Y()), quantize(p.Z()))
if key not in vmap:
idx = len(vertices)
vmap[key] = idx
vertices.append((p.X(), p.Y(), p.Z()))
local2global[i] = idx
else:
local2global[i] = vmap[key]
for i in range(1, n_tri + 1):
t = tri.Triangle(i)
n1, n2, n3 = t.Get()
if face.Orientation() == TopAbs_REVERSED:
n1, n2 = n2, n1
faces.append((
local2global[n1],
local2global[n2],
local2global[n3]
))
explorer.Next()
return (
np.array(vertices, dtype=np.float64),
np.array(faces, dtype=np.int32)
)
# ============================================================
# 5. 自适应目标面数网格化
# ============================================================
def bounding_diagonal(shape) -> float:
bbox = Bnd_Box()
brepbndlib_Add(shape, bbox)
x1, y1, z1, x2, y2, z2 = bbox.Get()
return sqrt((x2 - x1) ** 2 + (y2 - y1) ** 2 + (z2 - z1) ** 2)
def mesh_to_target(shape, target_faces: int,
ang_deflection: float = 0.5,
tol_percent: float = 0.05,
max_iter: int = 25):
diag = bounding_diagonal(shape)
lo = 1e-4 * diag
hi = diag
best = None
best_diff = float('inf')
for _ in range(max_iter):
mid = (lo + hi) * 0.5
BRepMesh_IncrementalMesh(shape, mid,
False,
ang_deflection,
True)
verts, faces = extract_triangulation(shape)
diff = faces.shape[0] - target_faces
abs_diff = abs(diff)
if abs_diff < best_diff:
best_diff = abs_diff
best = (verts.copy(), faces.copy())
if abs_diff <= target_faces * tol_percent:
break
if diff > 0:
lo = mid
else:
hi = mid
return best
# ============================================================
# 6. 导出为 Wavefront OBJ
# ============================================================
def write_obj(path: str, vertices: np.ndarray, faces: np.ndarray):
"""
导出 Wavefront OBJ 格式。
面索引使用 1-based（OBJ 标准）。
"""
with open(path, 'w') as f:
f.write("# Generated by pythonOCC\n")
for v in vertices:
f.write(f"v {v[0]:.17g} {v[1]:.17g} {v[2]:.17g}\n")
for tri in faces:
# OBJ 为 1-based 索引
f.write(f"f {tri[0]+1} {tri[1]+1} {tri[2]+1}\n")
# ============================================================
# 7. 主流程（含计时，仅输出 OBJ）
# ============================================================
if __name__ == "__main__":
t_total_0 = time.perf_counter()
# --------------------------------------------------------
# 7.1 几何体构造
# --------------------------------------------------------
t_geom_0 = time.perf_counter()
# base = make_box(0, 0, 0, 100, 80, 20)
# boss = make_cylinder(50, 40, 20, 15, 30)
# hole = make_cylinder(50, 40, 0, 8, 60)
# sphere = make_sphere(50, 40, 55, 12)
# spring = make_helix_sweep(20, 10, 3, 3)
# trsf = gp_Trsf()
# trsf.SetTranslation(gp_Vec(20, 20, 20))
# spring = BRepBuilderAPI_Transform(spring, trsf).Shape()
cylinder = make_cylinder(0, 0, 0, 1, 1)
sphere = make_sphere(1.9, 0, 0, 1)
t_geom_1 = time.perf_counter()
print(f"[Timing] Geometry construction: {t_geom_1 - t_geom_0:.4f} s")
# --------------------------------------------------------
# 7.2 布尔运算
# --------------------------------------------------------
t_bool_0 = time.perf_counter()
# body = cascade_boolean([base, boss, sphere, spring], "fuse")
part = boolean_op(cylinder, sphere, "common")
t_bool_1 = time.perf_counter()
print(f"[Timing] Boolean operations: {t_bool_1 - t_bool_0:.4f} s")
# --------------------------------------------------------
# 7.3 网格化
# --------------------------------------------------------
t_mesh_0 = time.perf_counter()
verts, faces = mesh_to_target(part, target_faces=10000,
ang_deflection=0.5,
tol_percent=0.03)
t_mesh_1 = time.perf_counter()
print(f"[Timing] Meshing (target 50k faces): {t_mesh_1 - t_mesh_0:.4f} s")
print(f"[Result] {verts.shape[0]} vertices, {faces.shape[0]} faces")
# --------------------------------------------------------
# 7.4 导出 OBJ
# --------------------------------------------------------
t_export_0 = time.perf_counter()
write_obj("common.obj", verts, faces)
t_export_1 = time.perf_counter()
print(f"[Timing] OBJ export: {t_export_1 - t_export_0:.4f} s")
# --------------------------------------------------------
# 总计时
# --------------------------------------------------------
t_total_1 = time.perf_counter()
print(f"[Timing] Total elapsed: {t_total_1 - t_total_0:.4f} s")

117
application/test_occ_draw.py
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@ -0,0 +1,117 @@
import vtk
import datetime
if __name__ == "__main__":
# Create renderer, render window, and interactor
renderer = vtk.vtkRenderer()
render_window = vtk.vtkRenderWindow()
render_window.AddRenderer(renderer)
render_window.SetSize(1200, 800)
render_window_interactor = vtk.vtkRenderWindowInteractor()
render_window_interactor.SetRenderWindow(render_window)
# 添加坐标轴
axes = vtk.vtkAxesActor()
axes_widget = vtk.vtkOrientationMarkerWidget()
axes_widget.SetOutlineColor(0.93, 0.57, 0.13)
axes_widget.SetOrientationMarker(axes)
axes_widget.SetInteractor(render_window_interactor)
axes_widget.SetViewport(0.0, 0.0, 0.2, 0.2)
axes_widget.EnabledOn()
axes_widget.InteractiveOn()
# Initialize OBJ importer
obj_importer = vtk.vtkOBJImporter()
obj_importer.SetFileName("common.obj") # Replace with your OBJ file path
# obj_importer.SetFileNameMTL("halfpatch_final.mtl") # Replace with your MTL file path
obj_importer.SetTexturePath("./") # Directory containing texture files
# Set render window for the importer
obj_importer.SetRenderWindow(render_window)
obj_importer.Update()
reader = vtk.vtkOBJReader()
reader.SetFileName("halfpatch_final.obj") # Replace with your OBJ file path
reader.Update()
polydata = reader.GetOutput()
triangle_filter = vtk.vtkTriangleFilter()
triangle_filter.SetInputData(polydata)
triangle_filter.Update()
polydata_tri = triangle_filter.GetOutput()
mass = vtk.vtkMassProperties()
mass.SetInputData(polydata_tri)
print("Surface Area:", mass.GetSurfaceArea())
print("Volume:", mass.GetVolume())
# 获取导入模型的所有actor
actors = renderer.GetActors()
actors.InitTraversal()
# 创建线框actor列表
wireframe_actors = []
# 为每个模型actor创建对应的线框actor
for i in range(actors.GetNumberOfItems()):
actor = actors.GetNextActor()
# 创建线框表示
wireframe_mapper = vtk.vtkPolyDataMapper()
wireframe_mapper.SetInputData(actor.GetMapper().GetInput())
# 创建线框actor
wireframe_actor = vtk.vtkActor()
wireframe_actor.SetMapper(wireframe_mapper)
# 设置线框属性
wireframe_actor.GetProperty().SetRepresentationToWireframe() # 设置为线框模式
wireframe_actor.GetProperty().SetColor(1.0, 1.0, 1.0) # 设置线框颜色为白色
wireframe_actor.GetProperty().SetLineWidth(2.0) # 设置线框线条粗细，可以调整这个值
# 使线框显示在模型上方（通过调整渲染顺序）
wireframe_actor.GetProperty().SetOpacity(0.5) # 设置不透明度
wireframe_actor.GetProperty().LightingOff() # 关闭光照，使线框更清晰
# 设置线框actor的位置和方向与原始actor一致
wireframe_actor.SetPosition(actor.GetPosition())
wireframe_actor.SetOrientation(actor.GetOrientation())
wireframe_actor.SetScale(actor.GetScale())
# 添加到渲染器和列表
renderer.AddActor(wireframe_actor)
wireframe_actors.append(wireframe_actor)
# Set background color
renderer.SetBackground(0.1, 0.1, 0.1) # Dark gray background
# 设置默认交互器样式
style = vtk.vtkInteractorStyleTrackballCamera()
render_window_interactor.SetInteractorStyle(style)
style.SetMotionFactor(5.0) # 默认是10.0，较小的值会减慢移动速度
# 定义按键回调函数，处理F10截图
def on_key_press(obj, event):
key = obj.GetKeySym()
if key == 'F10':
# 创建窗口到图像的过滤器，捕获整个窗口内容
window_to_image = vtk.vtkWindowToImageFilter()
window_to_image.SetInput(obj.GetRenderWindow())
window_to_image.Update()
# 生成带时间戳的文件名，避免多次截图覆盖旧文件
timestamp = datetime.datetime.now().strftime("%Y%m%d_%H%M%S")
filename = f"screenshot_{timestamp}.png"
# 将图像写入PNG文件
writer = vtk.vtkPNGWriter()
writer.SetFileName(filename)
writer.SetInputConnection(window_to_image.GetOutputPort())
writer.Write()
print(f"截图已成功保存到当前目录：{filename}")
# 绑定按键事件观察者，监听键盘输入
render_window_interactor.AddObserver('KeyPressEvent', on_key_press)
# Render and start interaction
render_window.Render()
render_window_interactor.Start()
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