{ "cells": [ { "cell_type": "markdown", "id": "6089d054", "metadata": {}, "source": [ "# 21 · Block Coordinate Descent vs. Newton — minimizing ARAP energy\n", "\n", "We minimize the **As-Rigid-As-Possible (ARAP)** elastic energy of a 2D beam. This\n", "is a pure *elastostatic* solve — no time, no inertia, no dynamics. The left\n", "end of the beam is clamped at rest and the right end is clamped to a **rotated**\n", "target, so the beam must bend round to an equilibrium. We solve the *same*\n", "minimization two different ways and compare **iterations** and **wall-clock time**.\n", "\n", "* **Newton.** Assemble the true Hessian $H(x)$, solve $H\\,\\Delta x = -\\nabla E$,\n", " line-search, step. $H$ depends on the current per-element rotations, so it\n", " **changes every iteration** — each step pays for a fresh sparse factorization.\n", "\n", "* **Block coordinate descent** (a.k.a. *local/global*). Introduce one auxiliary\n", " rotation $R_t$ per triangle and alternate:\n", " * a **local step** — freeze $x$, solve a per-triangle *Procrustes* problem,\n", " whose closed-form answer is the polar decomposition $R_t = \\mathrm{polar}(F_t)$;\n", " * a **global step** — freeze the rotations, minimize over $x$. With the\n", " rotations fixed the energy is *quadratic*, and its minimizer solves a\n", " **Poisson / Laplace-type** linear system whose matrix is **constant**. We\n", " factorize it **once** and every global step is then a cheap back-substitution.\n", "\n", "ARAP density:\n", "\n", "$$\n", "\\psi(F) = \\tfrac12 \\mu \\lVert F - R \\rVert_F^2, \\qquad R = \\mathrm{polar}(F).\n", "$$\n", "\n", "It penalizes only the non-rotational part of $F$, i.e. it behaves like a material\n", "with **Poisson ratio $\\nu = 0$** (pure shear, no $\\lambda$).\n", "\n", "**References.** O. Sorkine and M. Alexa, *\"As-Rigid-As-Possible Surface Modeling\"*,\n", "SGP 2007 (the ARAP energy and its local/global solve); S. Bouaziz, S. Martin,\n", "T. Liu, L. Kavan, M. Pauly, *\"Projective Dynamics: Fusing Constraint Projections\n", "for Fast Simulation\"*, SIGGRAPH 2014 (the constant pre-factorized global solve +\n", "local projection structure)." ] }, { "cell_type": "code", "execution_count": 1, "id": "94faba92", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:10.215288Z", "iopub.status.busy": "2026-06-09T05:43:10.215101Z", "iopub.status.idle": "2026-06-09T05:43:10.772494Z", "shell.execute_reply": "2026-06-09T05:43:10.772288Z" } }, "outputs": [ { "data": { "text/plain": [ "{'divide': 'warn', 'over': 'warn', 'under': 'ignore', 'invalid': 'warn'}" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" } ], "source": [ "%matplotlib inline\n", "import time\n", "import numpy as np\n", "import scipy as sp\n", "import matplotlib.pyplot as plt\n", "import simkit\n", "from simkit import polar_svd\n", "from simkit.solvers import block_coord, newton_solver\n", "import simkit.energies as energies\n", "import utils\n", "import warnings; warnings.filterwarnings(\"ignore\")\n", "np.seterr(all=\"ignore\") # quiet the line search's harmless overflow probes" ] }, { "cell_type": "markdown", "id": "6688d316", "metadata": {}, "source": [ "## A large beam, clamped at both ends\n", "\n", "Left edge clamped at rest; the right edge clamped to its rest position **rotated by\n", "$60^\\circ$** about the left-edge hinge. We enforce the clamps *exactly* by removing\n", "the clamped vertices' degrees of freedom from the solve, so the only thing driving\n", "convergence is the ARAP nonlinearity itself (the per-element rotations) — not a\n", "pin spring. The constant ARAP stiffness $L = J^\\top A J$ (with $A = \\mathrm{diag}(\\mathrm{vol}\\cdot\\mu)\\otimes I$)\n", "is the \"Poisson\" operator used by the global step." ] }, { "cell_type": "code", "execution_count": 2, "id": "ccb42fda", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:10.773567Z", "iopub.status.busy": "2026-06-09T05:43:10.773483Z", "iopub.status.idle": "2026-06-09T05:43:10.784001Z", "shell.execute_reply": "2026-06-09T05:43:10.783797Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2560 vertices, 4770 triangles, 5120 DOFs\n" ] } ], "source": [ "X, T = utils.triangulated_grid(nx=160, ny=16, width=5.0, height=1.0)\n", "n, dim = X.shape\n", "\n", "# ARAP uses only mu (Poisson ratio 0); precompute gives us J and vol.\n", "p = utils.precompute(X, T, mu=1.0, lam=0.0)\n", "J = p.J\n", "vol = p.vol\n", "mu = p.mu # ARAP shear modulus, one row per triangle\n", "print(f\"{n} vertices, {len(T)} triangles, {n*dim} DOFs\")\n", "\n", "# constant ARAP stiffness L = J^T A J , A = diag(vol * mu) (x) I\n", "avec = np.repeat((vol.flatten() * mu.flatten()), dim * dim).reshape(-1, 1)\n", "A = sp.sparse.diags(avec.flatten())\n", "L = (J.T @ A @ J).tocsc()\n", "\n", "# clamp left + right edges; rotate the right clamp by 60 deg about the left hinge\n", "left = np.where(X[:, 0] <= X[:, 0].min() + 1e-9)[0]\n", "right = np.where(X[:, 0] >= X[:, 0].max() - 1e-9)[0]\n", "anchor = X[left].mean(axis=0)\n", "theta = np.deg2rad(60.0)\n", "c, s = np.cos(theta), np.sin(theta)\n", "p_right = (X[right] - anchor) @ np.array([[c, -s], [s, c]]).T + anchor\n", "\n", "# eliminate the clamped DOFs: only the free (interior) vertices are unknowns\n", "pin_v = np.concatenate([left, right])\n", "pin_dof = (pin_v[:, None] * dim + np.arange(dim)).ravel()\n", "free_dof = np.setdiff1d(np.arange(n * dim), pin_dof)\n", "xp = np.vstack([X[left], p_right]).reshape(-1, 1) # clamped DOF values\n", "\n", "L_ff = L[free_dof][:, free_dof].tocsc()\n", "L_fp = L[free_dof][:, pin_dof].tocsc()\n", "\n", "def make_full(xf):\n", " x = np.empty((n * dim, 1)); x[free_dof] = xf; x[pin_dof] = xp; return x" ] }, { "cell_type": "markdown", "id": "e9fc2825", "metadata": {}, "source": [ "## The shared objective and Newton's pieces\n", "\n", "Both solvers minimize the same energy: the ARAP energy as a function of the free\n", "(interior) vertices. This single ARAP elastic energy is the only term in the\n", "objective. Newton uses the **true** ARAP Hessian (PSD-projected per element for\n", "robustness); it changes every iteration with the current rotations." ] }, { "cell_type": "code", "execution_count": 3, "id": "b461fb1c", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:10.784968Z", "iopub.status.busy": "2026-06-09T05:43:10.784905Z", "iopub.status.idle": "2026-06-09T05:43:10.786414Z", "shell.execute_reply": "2026-06-09T05:43:10.786232Z" } }, "outputs": [], "source": [ "def energy(xf):\n", " E_elastic = energies.arap_energy_x(make_full(xf).reshape(n, dim), J, mu, vol)\n", " return E_elastic\n", "\n", "def gradient(xf):\n", " g_elastic = energies.arap_gradient_x(make_full(xf).reshape(n, dim), J, mu, vol)\n", " return g_elastic[free_dof]\n", "\n", "def hessian(xf):\n", " H_elastic = energies.arap_hessian_x(make_full(xf).reshape(n, dim), J, mu, vol, psd=True)\n", " return H_elastic[free_dof][:, free_dof] # changes every iteration -> refactorized" ] }, { "cell_type": "markdown", "id": "21ca1104", "metadata": {}, "source": [ "## Block coordinate descent: one factorization, then local + global\n", "\n", "The whole point: $L_{ff}$ is assembled and factorized **once**, in `__init__`.\n", "After that the **local step** is a batch of per-triangle polar decompositions\n", "(`simkit.polar_svd`) and the **global step** is a single back-substitution." ] }, { "cell_type": "code", "execution_count": 4, "id": "370b99f6", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:10.787178Z", "iopub.status.busy": "2026-06-09T05:43:10.787131Z", "iopub.status.idle": "2026-06-09T05:43:10.788683Z", "shell.execute_reply": "2026-06-09T05:43:10.788465Z" } }, "outputs": [], "source": [ "class BlockCoordARAP:\n", " \"\"\"Local/global ARAP with a pre-factorized constant global system.\"\"\"\n", "\n", " def __init__(self):\n", " self.solve = sp.sparse.linalg.factorized(L_ff) # the ONLY factorization\n", " self.rhs_pin = L_fp @ xp\n", "\n", " def local_step(self, xf): # per-triangle Procrustes: R = polar(F)\n", " F = (J @ make_full(xf)).reshape(-1, dim, dim)\n", " R, _ = polar_svd(F)\n", " return R.reshape(-1, 1)\n", "\n", " def global_step(self, xf, r): # Poisson solve with rotations fixed\n", " rhs = (J.T @ (avec * r))[free_dof] - self.rhs_pin\n", " return self.solve(rhs).reshape(-1, 1)" ] }, { "cell_type": "markdown", "id": "1d0ff465", "metadata": {}, "source": [ "## Run both to convergence, recording iterations / time / state\n", "\n", "Shared convergence metric: the relative gradient norm $\\lVert\\nabla E\\rVert/\\lVert\\nabla E_0\\rVert$\n", "of the full objective. We step each solver one outer iteration at a time (calling\n", "simkit's `newton_solver` and `block_coord` with `max_iter=1`) so we can record the\n", "convergence curve and the wall-clock time. The residual evaluation used for the\n", "plots is *excluded* from the timer." ] }, { "cell_type": "code", "execution_count": 5, "id": "faf633ca", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:10.789641Z", "iopub.status.busy": "2026-06-09T05:43:10.789562Z", "iopub.status.idle": "2026-06-09T05:43:12.652854Z", "shell.execute_reply": "2026-06-09T05:43:12.652647Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Newton : 12 iters 546.4 ms (12 factorizations)\n", "Block coord descent : 91 iters 614.1 ms (1 factorization)\n", "per iteration : Newton 45.54 ms | BCD 6.75 ms\n" ] } ], "source": [ "RTOL = 1e-7\n", "x0 = X.flatten().reshape(-1, 1)[free_dof] # start from the rest pose\n", "g0 = np.linalg.norm(gradient(x0))\n", "\n", "def run_newton(max_iter=80):\n", " xf = x0.copy(); res = []; ts = []; states = [X.copy()]; t = 0.0\n", " for _ in range(max_iter):\n", " t0 = time.perf_counter()\n", " xf = newton_solver(xf, energy, gradient, hessian, max_iter=1, do_line_search=True)\n", " t += time.perf_counter() - t0\n", " res.append(np.linalg.norm(gradient(xf)) / g0); ts.append(t)\n", " states.append(make_full(xf).reshape(n, dim).copy())\n", " if res[-1] < RTOL: break\n", " return xf, np.array(res), np.array(ts), states\n", "\n", "def run_bcd(max_iter=4000):\n", " bcd = BlockCoordARAP()\n", " xf = x0.copy(); res = []; ts = []; states = [X.copy()]; t = 0.0\n", " for _ in range(max_iter):\n", " t0 = time.perf_counter()\n", " xf = block_coord(xf, bcd.global_step, bcd.local_step, max_iter=1)\n", " t += time.perf_counter() - t0\n", " res.append(np.linalg.norm(gradient(xf)) / g0); ts.append(t)\n", " states.append(make_full(xf).reshape(n, dim).copy())\n", " if res[-1] < RTOL: break\n", " return xf, np.array(res), np.array(ts), states\n", "\n", "xn, res_n, ts_n, states_n = run_newton()\n", "xb, res_b, ts_b, states_b = run_bcd()\n", "print(f\"Newton : {len(res_n):4d} iters {1e3*ts_n[-1]:8.1f} ms ({len(res_n)} factorizations)\")\n", "print(f\"Block coord descent : {len(res_b):4d} iters {1e3*ts_b[-1]:8.1f} ms (1 factorization)\")\n", "print(f\"per iteration : Newton {1e3*ts_n[-1]/len(res_n):6.2f} ms | BCD {1e3*ts_b[-1]/len(res_b):6.2f} ms\")" ] }, { "cell_type": "markdown", "id": "77630efe", "metadata": {}, "source": [ "## Convergence: iterations vs. wall-clock time\n", "\n", "Left: residual per outer iteration. Right: residual vs. elapsed time. Newton's\n", "search direction uses curvature, so it needs far fewer iterations; block\n", "coordinate descent needs many more (its constant rest-pose metric is a first-order\n", "model of the curvature), but each iteration is several times cheaper because it\n", "reuses one factorization. The two panels make the trade-off explicit for this mesh." ] }, { "cell_type": "code", "execution_count": 6, "id": "3edb9f2f", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:12.653968Z", "iopub.status.busy": "2026-06-09T05:43:12.653910Z", "iopub.status.idle": "2026-06-09T05:43:12.917753Z", "shell.execute_reply": "2026-06-09T05:43:12.917519Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 2, figsize=(13, 4.5))\n", "ax[0].semilogy(np.arange(1, len(res_n)+1), res_n, \"-o\", ms=3, color=\"#1f77b4\", label=f\"Newton ({len(res_n)} it)\")\n", "ax[0].semilogy(np.arange(1, len(res_b)+1), res_b, \"-\", lw=1.8, color=\"#d62728\", label=f\"Block coord ({len(res_b)} it)\")\n", "ax[1].semilogy(1e3*ts_n, res_n, \"-o\", ms=3, color=\"#1f77b4\", label=f\"Newton ({1e3*ts_n[-1]:.0f} ms)\")\n", "ax[1].semilogy(1e3*ts_b, res_b, \"-\", lw=1.8, color=\"#d62728\", label=f\"Block coord ({1e3*ts_b[-1]:.0f} ms)\")\n", "for a, xl in zip(ax, [\"iteration\", \"wall-clock time (ms)\"]):\n", " a.axhline(RTOL, color=\"0.6\", ls=\"--\", lw=1); a.set_xlabel(xl)\n", " a.set_ylabel(r\"$\\|\\nabla E\\| / \\|\\nabla E_0\\|$\")\n", " a.grid(True, which=\"both\", color=\"0.92\"); a.legend(fontsize=9)\n", "ax[0].set_title(\"Convergence vs. iterations\"); ax[1].set_title(\"Convergence vs. time\")\n", "fig.tight_layout(); fig.savefig(\"media/21_convergence.png\", dpi=130, bbox_inches=\"tight\"); plt.show()" ] }, { "cell_type": "markdown", "id": "39851569", "metadata": {}, "source": [ "## The equilibrium shape\n", "\n", "Both solvers reach the same ARAP minimizer (the rest beam is ghosted in gray)." ] }, { "cell_type": "code", "execution_count": 7, "id": "a9a443d0", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:12.918748Z", "iopub.status.busy": "2026-06-09T05:43:12.918694Z", "iopub.status.idle": "2026-06-09T05:43:12.990789Z", "shell.execute_reply": "2026-06-09T05:43:12.990539Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "U = make_full(xn).reshape(n, dim)\n", "lims = utils.auto_limits([X, U], pad=0.4)\n", "fig, axx = plt.subplots(figsize=(7.5, 4.8))\n", "utils.setup_axes(axx, *lims, title=\"ARAP equilibrium (right end rotated 60 deg)\")\n", "utils.PolyMeshArtist(axx, X, T, facecolor=\"#efefef\", edgecolor=\"#cfcfcf\", lw=0.3) # rest ghost\n", "utils.PolyMeshArtist(axx, U, T, facecolor=\"#9ecae1\", edgecolor=\"#08519c\", lw=0.3)\n", "axx.scatter(X[left][:, 0], X[left][:, 1], s=12, color=\"#3182bd\", zorder=5, label=\"fixed clamp\")\n", "axx.scatter(p_right[:, 0], p_right[:, 1], s=12, color=\"#e6550d\", zorder=5, label=\"rotated clamp\")\n", "axx.legend(loc=\"upper right\", fontsize=9); plt.show()" ] }, { "cell_type": "markdown", "id": "943d5685", "metadata": {}, "source": [ "## Watching each solver converge\n", "\n", "One frame per (sub-sampled) iteration. Block coordinate descent sweeps the beam\n", "into the right gross shape almost immediately, then spends its long tail polishing;\n", "Newton takes a few big curvature-aware steps." ] }, { "cell_type": "code", "execution_count": 8, "id": "4c6be709", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:12.991878Z", "iopub.status.busy": "2026-06-09T05:43:12.991823Z", "iopub.status.idle": "2026-06-09T05:43:16.418364Z", "shell.execute_reply": "2026-06-09T05:43:16.418143Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "def thin(states, target=50):\n", " k = max(1, len(states) // target); idx = list(range(0, len(states), k))\n", " if idx[-1] != len(states) - 1: idx.append(len(states) - 1)\n", " return [states[i] for i in idx]\n", "\n", "clamp_pts = np.vstack([X[left], p_right])\n", "lims = utils.auto_limits([X, make_full(xn).reshape(n, dim)], pad=0.4)\n", "fig, anim = utils.animate_mesh(thin(states_b), T, lims=lims, fps=12,\n", " title=\"Block coordinate descent (local/global) converging\", pin_pts=clamp_pts)\n", "utils.show_video(fig, anim, \"media/21_bcd.mp4\", fps=12)" ] }, { "cell_type": "code", "execution_count": 9, "id": "4b45e306", "metadata": { "execution": { "iopub.execute_input": "2026-06-09T05:43:16.419401Z", "iopub.status.busy": "2026-06-09T05:43:16.419344Z", "iopub.status.idle": "2026-06-09T05:43:16.935117Z", "shell.execute_reply": "2026-06-09T05:43:16.934863Z" } }, "outputs": [ { "data": { "text/html": [ "" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fig, anim = utils.animate_mesh(states_n, T, lims=lims, fps=5,\n", " title=\"Newton converging\", pin_pts=clamp_pts)\n", "utils.show_video(fig, anim, \"media/21_newton.mp4\", fps=5)" ] }, { "cell_type": "markdown", "id": "5280ca84", "metadata": {}, "source": [ "## Takeaways\n", "\n", "* **Same minimizer, two cost structures.** Newton spends a lot per iteration\n", " (assemble a state-dependent Hessian, **re-factorize**, line-search) but converges\n", " in very few iterations thanks to curvature. Block coordinate descent factorizes\n", " **once** and every iteration is a parallel batch of polar decompositions plus a\n", " single back-substitution — cheap, but it needs many more of them because the\n", " constant rest-pose metric only models the curvature to first order.\n", "* **Read the two plots together.** Iteration count and wall-clock time tell\n", " different stories; the right-hand panel is the one that matters in practice, and\n", " where it crosses depends on the mesh size, the accuracy you demand, and the cost\n", " of a factorization (which grows fast with problem size, especially in 3D).\n", "* **The structure is the lesson.** `local_step` = per-element Procrustes\n", " (`polar_svd`); `global_step` = one prefactored Poisson solve. That \"project, then\n", " solve a constant system\" pattern is exactly projective dynamics, and it is what\n", " the next tutorial reuses for mass-springs." ] } ], "metadata": { "kernelspec": { "display_name": "simkit", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.9" } }, "nbformat": 4, "nbformat_minor": 5 }