{"responseHeader":{"status":0,"QTime":3,"params":{"q":"{!q.op=AND}id:\"104052\"","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":"/d3/58/d358c96d7c60b885435eab74a34113582eb96f79.jpg","oldid_t":"compsci 12165","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":"/9a/c3/9ac3cbcbe3bf3a7ff762913f697ca3b7b562396f.pdf","title_t":"Page 66","ocr_t":"<^*i^^mimm**^m ^--i ■ ■■■ ■ ■ i in aiii tun i >m ■• • ■-■■ 59 4. THE B-SPLINE The cubic B-spline gives very nice looking curves and provides continuity of the second derivative. In general it does not interpolate its control points, but rather approximates them. The generated cubic is also constrained to lie within the convex hull of its defining points. Consider the four points P,, P„ P3, and P«: A cubic curve can be generated that in general does not pass through any of its four control points. Now consider a fifth point P5. Another section of curve can be generated using points P?l Pj, P0, and P,. The two curved pieces will be connected with c2 continuity at the joint. The equation to generate a section is l«___^^MftMM ■-","id":104052,"created_tdt":"2016-10-27T00:00:00Z","parent_i":104071,"_version_":1642982555813675011}]},"highlighting":{"104052":{"ocr_t":[]}}}