def data_structure(self, plot=True): node = np.array([[0, 0], [1, 0], [1, 1], [0, 1], [2, 0], [2, 1]], dtype=np.float) cell = np.array([[0, 1, 2], [0, 2, 3], [1, 4, 5], [2, 1, 5]], dtype=np.int) mesh = TriangleMesh(node, cell) mesh = HalfEdgeMesh2d.from_mesh(mesh) mesh.print() if plot: fig = plt.figure() axes = fig.gca() mesh.add_halfedge_plot(axes, showindex=True) mesh.find_node(axes, showindex=True) mesh.find_cell(axes, showindex=True) plt.show()
def refine_halfedge(self, plot=True): node = np.array([[0,0],[1,0],[1,1],[0,1],[2,0],[2,1]], dtype = np.float) cell = np.array([[0,1,2],[0,2,3],[1,4,5],[2,1,5]],dtype = np.int) mesh = TriangleMesh(node, cell) mesh = HalfEdgeMesh2d.from_mesh(mesh) isMarkedCell = np.array([0, 1, 0, 0, 0], dtype=np.bool_) isMarkedHEdge = mesh.mark_halfedge(isMarkedCell) mesh.refine_halfedge(isMarkedHEdge) mesh.print() if plot: fig = plt.figure() axes = fig.gca() mesh.add_halfedge_plot(axes, showindex=True) mesh.find_node(axes, showindex=True) #mesh.find_cell(axes, showindex=True) plt.show()
edge = totalEdge[i0] # 最终的边数组 print('edge:\n', edge) E = 3 # 每个三角形有 3 条边 NE = edge.shape[0] # 获得网格中边的个数, 即 `edge` 的行数 i1 = np.zeros(NE, dtype=np.int32) # 分配空间 i1[j] = range(3 * NC) # totalEdge0 的行数是 3*NC, j 的长度也是 3*NC print('i0:\n', i0) print('i1:\n', i1) edge2cell = np.zeros((NE, 4), dtype=np.int32) edge2cell[:, 0] = i0 // E # 得到每条边的左边单元 edge2cell[:, 1] = i1 // E # 得到每条边的右边单元 edge2cell[:, 2] = i0 % E # 得到每条边的在左边单元中的局部编号 edge2cell[:, 3] = i1 % E # 得到每条边在其右边单元中的局部编号 print('edge2cell:\n', edge2cell) mesh = TriangleMesh(node, cell) mesh.print() fig = plt.figure() axes = fig.gca() mesh.add_plot(axes) mesh.find_node(axes, showindex=True) mesh.find_cell(axes, showindex=True) mesh.find_edge(axes, showindex=True) plt.savefig('numpy-mesh-edge.png') plt.show()
def refine_tri(self, maxit=2, method='rg', plot=True, rb=True): cell = np.array([[0, 1, 2], [0, 2, 3], [1, 4, 5], [2, 1, 5]], dtype=np.int) node = np.array([[0, 0], [1, 0], [1, 1], [0, 1], [2, 0], [2, 1]], dtype=np.float) if False: mesh = TriangleMesh(node, cell) mesh = HalfEdgeMesh.from_mesh(mesh) mesh.ds.cell2hedge = np.array([0, 3, 2, 11, 10]) isMarkedCell = np.array([0, 1, 0, 0, 1], dtype=np.bool_) #mesh.refine_triangle_rbg(isMarkedCell) mesh.ds.NV = 3 cell = mesh.ds.cell_to_node() node = mesh.entity('node') mesh = TriangleMesh(node, cell) mesh = HalfEdgeMesh2d.from_mesh(mesh) mesh.init_level_info() if False: fig = plt.figure() axes = fig.gca() mesh.add_plot(axes) mesh.add_halfedge_plot(axes, showindex=True) mesh.find_node(axes, showindex=True) mesh.find_cell(axes, showindex=True) plt.show() NE = mesh.ds.NE color = np.zeros(NE * 2, dtype=np.int_) if method == 'rg': color[[4, 13, 17, 28]] = 1 color[[23, 27]] = 2 color[[22, 26]] = 3 mesh.hedgecolor = color isMarkedCell = np.array( [0, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], dtype=np.bool_) mesh.refine_triangle_rg(isMarkedCell) else: color[[2, 3, 10, 11]] = 1 mesh.hedgecolor = color isMarkedCell = np.array([0, 1, 1, 0, 0], dtype=np.bool_) #isMarkedCell = np.array([0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0 ,0], # dtype=np.bool_) mesh.refine_triangle_nvb(isMarkedCell) mesh.print() if plot: fig = plt.figure() axes = fig.gca() mesh.add_plot(axes) mesh.add_halfedge_plot(axes, showindex=True) mesh.find_node(axes, showindex=True) mesh.find_cell(axes, showindex=True) plt.show() if True: mesh = TriangleMesh(node, cell) mesh = HalfEdgeMesh2d.from_mesh(mesh) mesh.init_level_info() NE = mesh.ds.NE color = np.zeros(NE * 2, dtype=np.int_) if method == 'nvb': color[[2, 3, 10, 11]] = 1 mesh.hedgecolor = color c = np.array([0.8, 0.8]) r = 0.9 h = 1e-2 k = 0 NB = 0 start = time.time() while k < maxit: halfedge = mesh.ds.halfedge halfedge1 = halfedge[:, 3] node = mesh.node flag = node - c flag = flag[:, 0]**2 + flag[:, 1]**2 flag = flag <= r**2 flag1 = flag[halfedge[:, 0]].astype(int) flag2 = flag[halfedge[halfedge1, 0]].astype(int) markedge = flag1 + flag2 == 1 markedcell = halfedge[markedge, 1] markedcell = np.unique(markedcell) cell = np.unique(halfedge[:, 1]) nc = cell.shape[0] markedcell1 = np.zeros(nc) markedcell1[markedcell] = 1 if method == 'rg': mesh.refine_triangle_rg(markedcell1.astype(np.bool_)) else: mesh.refine_triangle_nvb(markedcell1.astype(np.bool_)) k += 1 print('循环', k, '次***************************') end = time.time() print('用时', end - start) if plot: fig = plt.figure() axes = fig.gca() nindex = mesh.nodedata['level'] mesh.add_plot(axes) #mesh.add_halfedge_plot(axes, showindex=True) #mesh.find_node(axes, showindex=True, multiindex=nindex) #mesh.find_cell(axes, showindex=True) #print(np.c_[np.arange(len(mesh.hedgecolor)), mesh.hedgecolor]) plt.show()