@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} }