Paper Info
Title
CINAPACT-Splines: A Family of Infinitely Smooth, Accurate and Compactly Supported Splines.
Abstract
We introduce CINAPACT-splines, a class of C-infinity, accurate and compactly supported splines. The integer translates of a CINAPACT-spline form a reconstruction space that can be tuned to achieve any order of accuracy. CINAPACT-splines resemble traditional B-splines in that higher orders of accuracy are achieved by successive convolutions with a B-spline of degree zero. Unlike B-splines however, the starting point for CINAPACT-splines is an infinitely smooth and compactly supported bump function that has been properly normalized so that it fulfills the partition of unity criterion. We use our construction to design two CINAPACT-splines, and explore their properties in the context of rendering volumetric data sampled on Cartesian grids. Our results show that CINAPACT-splines, while being infinitely smooth, are capable of providing similar reconstruction accuracy compared to some well-established filters of similar cost.
Year
DOI
Venue
2015
10.1007/978-3-319-27857-5_73
ADVANCES IN VISUAL COMPUTING, PT I (ISVC 2015)
Field
DocType
Volume
Spline (mathematics),Integer,Order of accuracy,Artificial intelligence,Geometry,Cartesian coordinate system,Bump function,Partition of unity,Pattern recognition,Convolution,Pure mathematics,Rendering (computer graphics),Mathematics
Conference
9474
ISSN
Citations 
PageRank 
0302-9743
1
0.37
References 
Authors
5
3
Name
Order
Citations
PageRank
Bita Akram110.37
Usman R. Alim2366.09
Faramarz F. Samavati330323.53