Horacsek, Joshua J.Alim, Usman R.2019-07-022019-07-022017-06Horacsek, J. J., & Alim, U. R. (2017). Compactly Supported Biorthogonal Wavelet Bases on the Body Centered Cubic Lattice. Computer Graphics Forum, 36(3), 35–45. https://doi.org/10.1111/cgf.131661467-8659http://hdl.handle.net/1880/110560https://doi.org/10.11575/PRISM/46093In this work, we present a family of compact, biorthogonal wavelet filter banks that are applicable to the Body Centered Cubic (BCC) lattice. While the BCC lattice has been shown to have superior approximation properties for volumetric data when compared to the Cartesian Cubic (CC) lattice, there has been little work in the way of designing wavelet filter banks that respect the geometry of the BCC lattice. Since wavelets have applications in signal de-noising, compression, and sparse signal reconstruction, these filter banks are an important tool that addresses some of the scalability concerns presented by the BCC lattice. We use these filters in the context of volumetric data compression and reconstruction and qualitatively evaluate our results by rendering images of isosurfaces from compressed data.enUnless otherwise indicated, this material is protected by copyright and has been made available with authorization from the copyright owner. You may use this material in any way that is permitted by the Copyright Act or through licensing that has been assigned to the document. For uses that are not allowable under copyright legislation or licensing, you are required to seek permission.Compactly Supported Biorthogonal Wavelet Bases on the Body Centered Cubic Latticeconference paperhttps://doi.org/10.1111/cgf.13166