{"title":"iSlerp:一种渐进的睡眠方法","authors":"Xin Li","doi":"10.1080/2151237X.2007.10129245","DOIUrl":null,"url":null,"abstract":"In this paper, an incremental quaternion-interpolation algorithm is introduced. With the assumption of a constant interval between a pair of quaternions, the cost of the interpolation algorithm is significantly reduced. Expensive trigonometric calculations in Slerp are replaced with simple linear-combination arithmetic. The round-off errors and drifting behavior accumulated through incremental steps are also analyzed.","PeriodicalId":318334,"journal":{"name":"Journal of Graphics Tools","volume":"55 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"iSlerp: An Incremental Approach to Slerp\",\"authors\":\"Xin Li\",\"doi\":\"10.1080/2151237X.2007.10129245\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, an incremental quaternion-interpolation algorithm is introduced. With the assumption of a constant interval between a pair of quaternions, the cost of the interpolation algorithm is significantly reduced. Expensive trigonometric calculations in Slerp are replaced with simple linear-combination arithmetic. The round-off errors and drifting behavior accumulated through incremental steps are also analyzed.\",\"PeriodicalId\":318334,\"journal\":{\"name\":\"Journal of Graphics Tools\",\"volume\":\"55 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Graphics Tools\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/2151237X.2007.10129245\",\"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 Tools","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/2151237X.2007.10129245","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, an incremental quaternion-interpolation algorithm is introduced. With the assumption of a constant interval between a pair of quaternions, the cost of the interpolation algorithm is significantly reduced. Expensive trigonometric calculations in Slerp are replaced with simple linear-combination arithmetic. The round-off errors and drifting behavior accumulated through incremental steps are also analyzed.
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