{"responseHeader":{"status":0,"QTime":3,"params":{"q":"{!q.op=AND}id:\"101823\"","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":"Malley-A_Shading_Method.pdf","thumb_s":"/2c/9a/2c9a48d27be1111de7d221bf78b6bf33278581fc.jpg","oldid_t":"compsci 9936","setname_s":"ir_computersa","restricted_i":0,"format_t":"application/pdf","modified_tdt":"2016-05-25T00:00:00Z","file_s":"/25/fb/25fb80aa446fb38a525fe0d8b99f90bad3aead59.pdf","title_t":"Page 39","ocr_t":"27 Figure 4.1. Triangle reference frame used to calculate sample ray directions. products of two of the edges). The third reference direction was the cross product of the first two reference direction vectors. Each of the reference vectors was normalized. A table containing triples of coefficients was calculated and stored for repeated use. Each set of three coefficients was used to take a linear combination of the triangle reference directions. Each set of three factors was constrained to lie on the unit sphere, so that the linear combinations of the orthonormal reference directions resulted in unit ray sample directions. The calculation of the table of direction factors began in the domain where the contributions to form factors are uniform: the circular area under the hemisphere. This region was subdivided and used to generate samples. Rays representing equalsized regions of the area under the hemisphere were projected up to the hemisphere and out from the hemisphere to determine the contributions of patches in the scene to form factor values . After some experimentation with jittered polar coordinates and poisson disc distributions, a jittered grid scheme was used for generating the direction distributions [12]. A grid of evenly spaced points was created inside a square area two units on a","id":101823,"created_tdt":"2016-05-25T00:00:00Z","parent_i":101866,"_version_":1679953745196089344}]},"highlighting":{"101823":{"ocr_t":[]}}}