十年磨一剑

paper source { formula 5 LB=12<v,v>Ω0+<λ,Δu−v>Ω0=12<v,v>Ω0−<λ,v>Ω0+<λ,Δu>Ω0L_B=\frac{1}{2}<v,v>_{\Omega_0}+<\lambda,\Delta u-v>_{\Omega_0}=\frac{1}{2}<v,v>_{\Omega_0}-<\lambda,v>_{\Omega_0}+<\lambda,

note: this passage serves for the analysis of Alec Jacobson’s thesis1.what’s stiffness matrixAccording to (2.16), stiffness matrix is given by:Lij=∫Ω−∇ϕi∇ϕjdAL_{ij}=\int\limits_{\Omega}-\nabla\phi_i\na

note: this passage serves for the analysis of Alec Jacobson’s thesis1. what’s mass matrixAccording to (2.50), mass matrix is given by: Mij=∫ΩϕiϕjdAM_{ij}=\int_\Omega\phi_i\phi_jdA2. matlab code analys

function [xV] = biharm_solve_with_factor( ... L, U, P, Q, R, S, M, F, xV, Omega, N0, N1, bndtype, reduction,BZ1,V) % Solves Ax = b, where A is factored as PR\AQ = LU and x is the new % coordin

function [L,U,P,Q,R, S, M] = biharm_factor_system( ... V, ... F, ... bndtype, ... masstype, ... reduction, ... Omega, ... N0, ... N1) % [L,U,P,Q,R, S, M] = biharm_factor_system( ...

function [F, UV, res, edge_norms] = ... create_regular_grid(xRes, yRes, xWrap, yWrap, near, far)% Creates list of triangle vertex indices for a rectangular domain,% optionally wrapping around in X

function tsurf(F,V,vertex_indices,face_indices) % trisurf wrapper % F: list of faces #F x 3 % V: vertex positiosn #V x 3 or #V x 2 % vertex_indices: show vertex indices on plot %

function [Omega,N0,N1,N2,outside_region_of_interest ] = ... layers_from_handle( ... vertex_count, ... F, ... H) % Given a Face index list and list of vertex indices in a handle (can be

function display_domain(F,V,Omega,N0,N1,N2,outside_region_of_interest,phong)%% See corresponding paper: "Mixed finite elements for variational surface% modeling" by Alec Jacobson, Elif Tosun, Olga

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%finding neighbour%%%%%%%%%%%%%%%%%%%%%%%%%%%%neighbour_matrix = zeros(n,n);for i=1:n neighbour = find(F(:,1)==i | F(:,2)==i | F(:,3)==i); neighbour = F(neighbou

function result = isneighbor(i,j,F)%ISNEIGHBOR True for edge ij in face indices.% i,j : two indices of edge-endpoints% F : face index list result = any(2 == sum(ismember(F,[i j]),2))end

function obj=read_obj(input_file_name)[ node_num, face_num, normal_num, order_max ] = obj_size( input_file_name );[ node_xyz, face_order, face_node, normal_vector, vertex_normal ] = ... obj_read(

Some time ago, I quoted a passage from a website which is able to give a general idea about the Laplacian interpolation. The address is http://blog.youkuaiyun.com/seamanj/article/details/50701112Here, I wan