棱镜样条解析抗混叠

Proceedings of the 22nd annual conference on Computer graphics and interactive techniques Pub Date : 1995-09-15 DOI:10.1145/218380.218499

M. McCool

{"title":"棱镜样条解析抗混叠","authors":"M. McCool","doi":"10.1145/218380.218499","DOIUrl":null,"url":null,"abstract":"The theory of the multivariate polyhedral splines is applied to analytic antialiasing: a triangular simplex spline is used to represent surface intensity, while a box spline is used as a filter. Their continuous convolution is a prism spline that can be evaluated exactly via recurrence. Evaluation performance can be maximized by exploiting the properties of the prism spline and its relationship to the sampling grid. After sampling, digital signal processing can be used to evaluate exactly and efficiently the sampled result of any analytic spline filter in the span of the box spline basis used as the original analytic filter.","PeriodicalId":447770,"journal":{"name":"Proceedings of the 22nd annual conference on Computer graphics and interactive techniques","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1995-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"33","resultStr":"{\"title\":\"Analytic antialiasing with prism splines\",\"authors\":\"M. McCool\",\"doi\":\"10.1145/218380.218499\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The theory of the multivariate polyhedral splines is applied to analytic antialiasing: a triangular simplex spline is used to represent surface intensity, while a box spline is used as a filter. Their continuous convolution is a prism spline that can be evaluated exactly via recurrence. Evaluation performance can be maximized by exploiting the properties of the prism spline and its relationship to the sampling grid. After sampling, digital signal processing can be used to evaluate exactly and efficiently the sampled result of any analytic spline filter in the span of the box spline basis used as the original analytic filter.\",\"PeriodicalId\":447770,\"journal\":{\"name\":\"Proceedings of the 22nd annual conference on Computer graphics and interactive techniques\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1995-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"33\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the 22nd annual conference on Computer graphics and interactive techniques\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1145/218380.218499\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 22nd annual conference on Computer graphics and interactive techniques","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/218380.218499","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 33

摘要

将多元多面体样条理论应用于解析抗混叠:用三角形单纯样条表示表面强度，用框样条作为滤波器。它们的连续卷积是一个棱镜样条，可以通过递归精确地求值。通过利用棱镜样条的特性及其与采样网格的关系，可以最大限度地提高评估性能。采样后，数字信号处理可以准确有效地评估作为原始分析滤波器的盒样条基跨度内任意解析样条滤波器的采样结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Analytic antialiasing with prism splines

The theory of the multivariate polyhedral splines is applied to analytic antialiasing: a triangular simplex spline is used to represent surface intensity, while a box spline is used as a filter. Their continuous convolution is a prism spline that can be evaluated exactly via recurrence. Evaluation performance can be maximized by exploiting the properties of the prism spline and its relationship to the sampling grid. After sampling, digital signal processing can be used to evaluate exactly and efficiently the sampled result of any analytic spline filter in the span of the box spline basis used as the original analytic filter.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Proceedings of the 22nd annual conference on Computer graphics and interactive techniques

自引率

0.00%

发文量