{"responseHeader":{"status":0,"QTime":7,"params":{"q":"{!q.op=AND}id:\"104010\"","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":"/38/10/38105e426537d93766c0165ad5244a6f88486404.jpg","oldid_t":"compsci 12123","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":"/50/50/505032f83f2ec2dc7ed10d05b1273e926f021ca2.pdf","title_t":"Page 24","ocr_t":"w*** ■ ^^^w^ww^ 17 A MATRIX REPRESENTATION The subdivision method can be put in matrix form and hence related to the matrix methods for ^snerating bicubic patches presented in Appendix A. The matrix form of a simple cubic is: f(t)-[t3 t' t 1] The correction terms and function values for the simple cubic can also be put in matrix form. Let that matrix be called the correction matrix C and it contents be: C-f( t-h) gn(t-h) f(t+h) |Wtt*hl Recall that the correction factor is gn(t)-h2(3at+b). At the zeroth level of subdivision h»-l/27\"-l. So f(0)-d, g0(0)-b, f(l)-a+b*c+dp and g0(l)-3a>b. If we put these values that fit in C then C-d b a+b+c+d 3a+b Next let We can get the values in C by using the matrix: ■ „,","id":104010,"created_tdt":"2016-10-27T00:00:00Z","parent_i":104071,"_version_":1679953243543699458}]},"highlighting":{"104010":{"ocr_t":[]}}}