دانلود کتاب Numerical Methods for Linear Complementarity Problems in Physics-Based Animation (Synthesis Lectures on Computer Graphics and Animation)

فهرست مطالب :

Introduction\n Understanding The Problem\n First-Order Optimality is a Linear Complementarity Problem\n Nonsmooth Root Search Reformulations\n The Boxed Linear Complementarity Problem\n Other Reformulations\n The Problem in n-Dimensions\n 1D BLCP to 4D LCP\n The Boxed Linear Complementarity Problem in Higher Dimensions\n BLCP and the QP formulation\n Converting BLCP to LCP\n Nonsmooth reformulations of BLCP\n Examples from Physics-Based Animation\n Fluid-Solid Wall Boundary Conditions\n Free-Flowing Granular Matter\n Density Correction\n Joint Limits in Inverse Kinematics\n Contact Force Examples\nNumerical Methods\n Pivoting Methods\n Direct Methods for Small-Sized Problems\n Incremental Pivoting ``Baraff Style\'\'\n Projection or Sweeping Methods\n Splitting Methods\n Using a Quadratic Programming Problem\n The Blocked Gauss-Seidel Method\n The Projected Gauss-Seidel Subspace Minimization Method\n The Nonsmooth Nonlinear Conjugate Gradient Method\n The Interior Point Method\n Newton Methods\n The Minimum Map Newton Method\n The Fischer-Newton Method\n Penalized Fischer-Newton Method\n Tips, Tricks and Implementation Hacks\nGuide for Software and Selecting Methods\n Overview of Numerical Properties of Methods Covered\n Existing Practice on Mapping Models to Methods\n Existing Software Solutions\n Future of LCPs in Computer Graphics\nBasic Calculus\n Order Notation\n What Is a Limit?\n The Small- o Notation\n The Big- O notation\n Lipschitz Functions\n Derivatives\nFirst-Order Optimality Conditions\nConvergence, Performance and Robustness Experiments\nNum4LCP\n Using Num4LCP\nBibliography\nAuthors\' Biographies