{"title":"无分支垂直向量的高效构造","authors":"Michael M. Stark","doi":"10.1080/2151237X.2009.10129274","DOIUrl":null,"url":null,"abstract":"This paper presents a novel formula for computing an arbitrary vector perpendicular to a given 3D vector. The formula, as well as the provided C language implementation, are unusual in that they require no conditional branching. The formula involves little arithmetic and is amenable to hardware implementation.","PeriodicalId":354935,"journal":{"name":"Journal of Graphics, GPU, and Game Tools","volume":"22 41","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Efficient Construction of Perpendicular Vectors without Branching\",\"authors\":\"Michael M. Stark\",\"doi\":\"10.1080/2151237X.2009.10129274\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper presents a novel formula for computing an arbitrary vector perpendicular to a given 3D vector. The formula, as well as the provided C language implementation, are unusual in that they require no conditional branching. The formula involves little arithmetic and is amenable to hardware implementation.\",\"PeriodicalId\":354935,\"journal\":{\"name\":\"Journal of Graphics, GPU, and Game Tools\",\"volume\":\"22 41\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Graphics, GPU, and Game Tools\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/2151237X.2009.10129274\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Graphics, GPU, and Game Tools","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/2151237X.2009.10129274","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Efficient Construction of Perpendicular Vectors without Branching
This paper presents a novel formula for computing an arbitrary vector perpendicular to a given 3D vector. The formula, as well as the provided C language implementation, are unusual in that they require no conditional branching. The formula involves little arithmetic and is amenable to hardware implementation.