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functions for the compression of a bivariate discrete measure  (MathWorks Inc)


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    MathWorks Inc functions for the compression of a bivariate discrete measure
    Functions For The Compression Of A Bivariate Discrete Measure, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/functions+for+the+compression+of+a+bivariate+discrete+measure/10__1080_slash_01630563__2015__1062394-169-35-31
    Average 90 stars, based on 1 article reviews
    functions for the compression of a bivariate discrete measure - by Bioz Stars, 2026-10
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    Article Title: Compression of Multivariate Discrete Measures and Applications
    Article Snippet: .. D ow nl oa de d by [ T uf ts U ni ve rs ity ] at 2 0: 39 0 8 D ec em be r 20 15 APPENDIX Matlab Functions for the Compression of a Bivariate Discrete Measure function [pts,w,momerr] = compresscub(deg,X,omega,pos) % INPUT: % deg: polynomial exactness degree % X: 2-column array of point coordinates % omega: 1-column array of weights % pos: NNLS for pos=1, QR with column pivoting for pos=0 % OUTPUT: % pts: 2-column array of extracted points % w: 1-column array of corresponding weights (positive for pos=1) % momerr: moment reconstruction error % total-degree Chebyshev-Vandermonde matrix at X rect=[min(X(:,1)) max(X(:,1)) min(X(:,2)) max(X(:,2))]; V=chebvand(deg,X,rect); % polynomial basis orthogonalization [Q,R]=qr(V,0); % tiny imaginary parts may appear Q=real(Q); % possible re-orthogonalization % [Q,R1]=qr(Q,0); % moments of the orthogonal basis orthmom=Q’*omega; % weigths computation if pos == 1 weights=lsqnonneg(Q’,orthmom); else weights=Q’\orthmom; end; % indexes of nonvanishing weights and compression ind=find(abs(weights)>0); pts=X(ind,:); w=weights(ind); % moment reconstruction error % bivariate Chebyshev basis mom=V’*omega; momerr=norm(V(ind,:)’*w-mom); % discrete OP basis % momerr=norm(Q(ind,:)’*w-orthmom); end D ow nl oa de d by [ T uf ts U ni ve rs ity ] at 2 0: 39 0 8 D ec em be r 20 15 function V = chebvand(deg,X,rect); % INPUT: % deg = polynomial degree % X = 2-column array of point coordinates % rect = 4-component vector such that the rectangle % [rect(1),rect(2)] x [rect(3),rect(4)] contains X % OUTPUT: % V = Chebyshev-Vandermonde matrix at X % couples with length less or equal to deg j=(0:1:deg); [j1,j2]=meshgrid(j); good=find(j1(:)+j2(:)



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    functions for the compression of a bivariate discrete measure  (MathWorks Inc)
    90
    MathWorks Inc functions for the compression of a bivariate discrete measure
    Functions For The Compression Of A Bivariate Discrete Measure, supplied by MathWorks Inc, used in various techniques. Bioz Stars score: 90/100, based on 1 PubMed citations. ZERO BIAS - scores, article reviews, protocol conditions and more
    https://www.bioz.com/product/functions+for+the+compression+of+a+bivariate+discrete+measure/10__1080_slash_01630563__2015__1062394-169-35-31
    Average 90 stars, based on 1 article reviews
    functions for the compression of a bivariate discrete measure - by Bioz Stars, 2026-10
    90/100 stars
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