@mastersthesis {27,
	title = {CINAPACT-Splines: A Family of Infinitely Smooth, Accurate and Compactly Supported Splines},
	volume = {MSc},
	year = {2015},
	month = {09/2015},
	school = {University of Calgary},
	address = {Calgary, AB},
	abstract = {We introduce a class of compactly supported C infinite kernels (CINAPACT-splines) whose integer translates form a shift-invariant 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 a compactly supported bump function that has been properly normalized so that it fulfills the partition of unity criterion. We explore the properties of CINAPACT-splines in reconstructing volumetric data sampled on regular grids. We show that CINAPACT-splines provide similar reconstruction quality and cost compared to some well-established filters, while being infinitely smooth. We further explore the advantages of our filter by implementing a curvature-based transfer function using second derivatives of the filter to demonstrate feature lines of a function. We apply the same technique using filters of smaller support and less cost.},
	url = {http://hdl.handle.net/11023/2418},
	author = {Bita Akram}
}
@conference {33,
	title = {CINAPACT-Splines: A Family of Infinitely Smooth, Accurate and Compactly Supported Splines},
	booktitle = {International Symposium on Visual Computing 2015},
	year = {2015},
	publisher = {Springer (Bebis G. et al. (eds), Advances in Visual Computing, Lecture Notes in Computer Science, vol 9474)},
	organization = {Springer (Bebis G. et al. (eds), Advances in Visual Computing, Lecture Notes in Computer Science, vol 9474)},
	address = {Las Vegas, NV},
	doi = {10.1007/978-3-319-27857-5_73},
	url = {https://link.springer.com/chapter/10.1007/978-3-319-27857-5_73},
	author = {Bita Akram and Usman Alim and Faramarz Samavati}
}
