fnbrk.m

演示matlab曲线拟和与插直的基本方法

% FNBRK   宆偺柤慜傑偨偼峔惉梫慺
%
% FNBRK(FN,PART) 偼丄FN 偵偁傞娭悢偵偮偄偰巜掕偝傟偨 PART 傪弌椡偟傑偡丅
% PART 偺傎偲傫偳偺慖戰偵偮偄偰偼丄偙傟偼 FN 偵偁傞娭悢偵偮偄偰偺忣曬偺
% 偄偔偮偐偺梫慺偱偡丅PART 偺偄偔偮偐偺慖戰偵偮偄偰偼丄FN 偵偁傞娭悢偵
% 娭楢偟偨偄偔偮偐偺娭悢偺宆偱偡丅
% PART 偑暥帤楍偺応崌丄娭楢偡傞暥帤楍偺嵟弶偺暥帤(暥帤楍)偺傒丄巜掕偡傞
% 昁梫偑偁傝傑偡丅
%
% FN 偺宆偵娭傢傜偢丄PART 偵偼偮偓偺傕偺傪巜掕偟傑偡丅
%
%      'dimension'     娭悢偺僞乕僎僢僩偺師尦
%      'variables'     娭悢偺椞堟偺師尦
%      'coefficients'  摿暿側宆偺學悢
%      'interval'      娭悢偺婎杮嬫娫
%      'form'          FN 偵偁傞娭悢傪婰弎偡傞偨傔偵巊梡偝傟傞宆
%      [A B]           (A, B 偼僗僇儔)丅摨偠宆偱偡偑丄嬫娫 [A .. B] 忋偱
%                      FN 偵偁傞1曄悢娭悢偺婰弎傪摼傑偡丅婎杮嬫娫偼 
%                      [A .. B] 偵曄姺偝傟傑偡丅m曄悢娭悢偵懳偟偰偼丄
%                      偙偺巜掕偑 [A B] 偲偄偆宍幃偱m屄偺梫慺傪傕偮僙儖
%                      攝楍偺宍偵側偭偰偄側偗傟偽側傝傑偣傫丅
%      [] 偼丄FN 偑曄峏偝傟偢偵弌椡偝傟傑偡(FN 偑m曄悢娭悢偺偲偒偵巊梡)丅
%
% FN 偺宆偵埶懚偟偰丄埲壓偺梫慺傕巜掕偱偒傑偡丅
%
% FN偑丄B-宆 (偁傞偄偼丄BB-宆, rB-宆)偺応崌丄PART 偼丄
%
%      'knots'         愡揰楍
%      'coefficients'  B-僗僾儔僀儞學悢
%      'number'        學悢偺悢
%      'order'         僗僾儔僀儞偺懡崁幃師悢
%
% FN 偑 pp-宆 (偁傞偄偼丄rp-宆)偺応崌丄PART 偼丄
%
%      'breaks'        僽儗乕僋億僀儞僩偺楍
%      'coefficients'  嬊強揑側懡崁幃偺學悢
%      'pieces'        懡崁幃嬫暘偺悢
%      'order'         僗僾儔僀儞偺懡崁幃偺師悢
%      惍悢 j          j斣栚偺懡崁幃嬫暘偺pp-宆
%
% FN 偑 st-宆 偺応崌丄PART 偼丄
%
%      'centers'       拞怱
%      'coefficients'  學悢
%      'number'        學悢偺悢
%      'type'          st-宆偺僞僀僾
%
% FN 偑丄m>1偲偟偰丄m曄悢偺僥儞僜儖愊偺僗僾儔僀儞傪娷傓側傜偽丄PART 偼丄
% 暥帤楍偱側偄応崌丄挿偝 m 偺僙儖攝楍偱側偗傟偽側傝傑偣傫丅
%
% [OUT1, ..., OUTo] = FNBRK(FN, PART1, ..., PARTi) 偼丄j=1:o 偱偺暥帤楍 
% PARTj 偵傛偭偰梫媮偝傟傞梫慺傪 OUTj 偵弌椡偟傑偡丅偙偙偱 o<=i 偱偡丅
%
% FNBRK(FN) 偼丄壗傕弌椡偟傑偣傫偑丄棙梡壜擻偱偁傞応崌丄偡傋偰偺梫慺偲
% 嫟偵丄'form' 傪昞帵偟傑偡丅
% 
% 椺戣:
%
%      coefs = fnbrk( fn, 'coef' );
%
% 偼丄fn 偺僗僾儔僀儞偺學悢 (偦偺B-宆 偁傞偄偼丄偦偺pp-宆偐傜偺學悢)傪
% 弌椡偟傑偡丅 
%
%      p1 = fn2fm(spline(0:4,[0 1 0 -1 1]),'B-');
%      p2 = fnrfn(spmak(augknt([0 4],4),[-1 0 1 2]),2);
%      p1plusp2 = spmak( fnbrk(p1,'k'), fnbrk(p1,'c')+fnbrk(p2,'c') );
%
% 偼丄2偮偺娭悢 p1 偲 p2 偺(揰偵娭偡傞) 榓傪梌偊傑偡丅偙傟偼丄椉曽偲傕
% 摨偠愡揰楍偱摨偠僞乕僎僢僩偺師尦傪傕偮摨偠師悢偺僗僾儔僀儞偱偁傞偨傔丄
% 婡擻偟傑偡丅
%
%      x = 1:10; y = -2:2; [xx, yy] = ndgrid(x,y);
%      pp = csapi({x,y},sqrt((xx -4.5).^2+yy.^2));
%      ppp = fnbrk(pp,{4,[-1 1]});
%
% 偼丄挿曽宍 [b4,b5] x [-1,1] 偺 pp-宆 僗僾儔僀儞偲堦抳偡傞僗僾儔僀儞傪
% 梌偊傑偡丅偙偙偱丄b4, b5 偼丄1斣栚偺曄悢偵懳偡傞僽儗乕僋億僀儞僩楍偺
% 4斣栚偲5斣栚偺揰偱偡丅 
%
% 嶲峫 SPMAK, PPMAK, RSMAK, RPMAK, STMAK, SPBRK, PPBRK, RSBRK, RPBRK, 
%        STBRK.


%   Copyright 1987-2004 C. de Boor and The MathWorks, Inc.