{"responseHeader":{"status":0,"QTime":2,"params":{"q":"{!q.op=AND}id:\"104048\"","hl":"true","hl.simple.post":"","hl.fragsize":"5000","fq":"!embargo_tdt:[NOW TO *]","hl.fl":"ocr_t","hl.method":"unified","wt":"json","hl.simple.pre":""}},"response":{"numFound":1,"start":0,"docs":[{"file_name_t":"ADA004968.pdf","thumb_s":"/f9/49/f949454340149a1f0b71cc7d851cc36742df5457.jpg","oldid_t":"compsci 12161","setname_s":"ir_computersa","restricted_i":0,"format_t":"application/pdf","creator_t":"Catmull, Edwin E.","modified_tdt":"2016-10-27T00:00:00Z","file_s":"/73/87/73876023b12add9a9cdf9c976ba2f58856e440fe.pdf","title_t":"Page 62","ocr_t":"\"■IWI!\" ■\"»! ■\" \"Hi\" ■ i •<»• ■'' ■ mi I l^I^Pf^^ Hi .IPII linn im'*\"'\"'im' '• '■ ■JW\" i* > \" »f^p«W\"\"«^iw»»-\".i i i m* v mu w-'mw\"'\" 55 The balance of this appendix shall be devoted to showing what the M matrices are for different kinds of P's. When the P's are points they may be referred to as \"control points.\" The examples shall be given using the univariate case so recall that the extension to bivariate patches is shown above. 1. SIMPLE CUBIC THROUGH 4 POINTS Consider the four points P„ P2, P„ and P» The cubic will pass through each point and x(0)-P„ xd/SH3,, x(2/c)-P„ and x(l)-P.. Then: xW-Ct» t» t HM, p.' P. and fnr this particular choice of the values of the independent variable, M, -(1/2) It is difficult with this scheme to connect two cubics at some point with c continuity. -9 27 -27 9' 18 -45 36 -9 11 18 -9 2 2 0 0 0 *MB M-,i J","id":104048,"created_tdt":"2016-10-27T00:00:00Z","parent_i":104071,"_version_":1642982555812626434}]},"highlighting":{"104048":{"ocr_t":[]}}}
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