LEADER 02906oam 2200637I 450 001 9910462933703321 005 20200520144314.0 010 $a0-429-10186-4 010 $a1-4665-7102-0 024 7 $a10.1201/b15025 035 $a(CKB)2670000000387509 035 $a(EBL)1220137 035 $a(SSID)ssj0000876743 035 $a(PQKBManifestationID)11498106 035 $a(PQKBTitleCode)TC0000876743 035 $a(PQKBWorkID)10904055 035 $a(PQKB)10511472 035 $a(MiAaPQ)EBC1220137 035 $a(Au-PeEL)EBL1220137 035 $a(CaPaEBR)ebr10720871 035 $a(CaONFJC)MIL501675 035 $a(OCoLC)854973535 035 $a(OCoLC)848895533 035 $a(EXLCZ)992670000000387509 100 $a20180331d2013 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aIsosurfaces $egeometry, topology, and algorithms /$fRephael Wenger 210 1$aBoca Raton :$cCRC Press,$d2013. 215 $a1 online resource (484 p.) 300 $aAn AK Peters Book. 311 $a1-299-70424-7 311 $a1-4665-7097-0 320 $aIncludes bibliographical references. 327 $aFront Cover; Dedication; Contents; Preface; Acknowledgments; Chapter 1: Introduction; Chapter 2: Marching Cubes and Variants; Chapter 3: Dual Contouring; Chapter 4: Multilinear Interpolation; Chapter 5: Isosurface Patch Construction; Chapter 6: Isosurface Generation in 4D; Chapter 7: Interval Volumes; Chapter 8: Data Structures for Faster Isosurface Construction; Chapter 9: Multiresolution Tetrahedal Meshes; Chapter 10: Multiresolution Polyhedral Meshes; Chapter 11: Isovalues; Chapter 12: Contour Trees; Appendix A: Geometry; Appendix B: Topology; Appendix C: Graph Theory; Appendix D: Notation 327 $aBibliography 330 $aEver since Lorensen and Cline published their paper on the marching cubes algorithm, isosurfaces have been a standard technique for the visualization of 3D volumetric data. Yet there is no book exclusively devoted to isosurfaces. This book presents the basic algorithms for isosurface construction and gives a rigorous mathematical perspective to some of the algorithms and results. It offers a solid introduction to research in this area as well as an organized overview of the various algorithms associated with isosurfaces--$cProvided by publisher. 606 $aSurfaces 606 $aIsogeometric analysis 606 $aThree-dimensional imaging$xMathematics 608 $aElectronic books. 615 0$aSurfaces. 615 0$aIsogeometric analysis. 615 0$aThree-dimensional imaging$xMathematics. 676 $a516.3/52 700 $aWenger$b Rephael.$0995996 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462933703321 996 $aIsosurfaces$92282260 997 $aUNINA