Automatically assigned DDC number: 0066

Manually assigned DDC number: 006693

Number of references: 8

Title: Interactive Visualization of Implicit Surfaces with Singularities

Author:

Author:

Author:

Subject: Angela Rosch,Matthias Ruhl,Dietmar Saupe Interactive Visualization of Implicit Surfaces with Singularities

Description: This paper presents work on two methods for interactive visualization of implicit surfaces: physicallybased sampling using particle systems and polygonization followed by physically-based mesh improvement which explicitly makes use of the surface-defining equation. While most previous work applied to bounded manifolds without singularities and without boundary (topological spheres) we broaden the scope of the methods to include surfaces with such features, in particular cusp points and surface selfintersections. These aspects are not (yet) essential for computer graphics modelling with implicit surfaces but they naturally occur in simulations of interest in mathematical visualization. In this paper we use the Kummer family of algebraic surfaces as an example. 1 Introduction Our work is motivated by efforts in the mathematical community for the visualization of implicit algebraic surfaces. Algebraic surfaces and their deformations have been studied for more than one hundred years. Visu...

Contributor: The Pennsylvania State University CiteSeer Archives

Publisher: unknown

Date: 1996-09-03

Pubyear: 1996

Format: ps

Identifier: http://citeseer.ist.psu.edu/177607.html

Source: ftp://ftp.eecs.wsu.edu/pub/hart/is96/freiburg.ps.gz

Language: en

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Relation:

Rights: unrestricted

Graph

<?xml   version="1.0"   encoding="UTF-8"?>

<references_metadata>

      <rec   ID="/480945.html"   Type="article"   CiteSeer_Book="Computer   Aided   Geometric   Design"   CiteSeer_Volume="5"   Title="Polygonization   of   Implicit   Surfaces,">

            <identifier   Org="ISBN:0123361559"   Paper_ID="/480945.html"   Extracted="0123361559"   DDC="006.6/6"   Normalized_DDC="00666"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0444886834"   Paper_ID="/480945.html"   Extracted="0444886834"   />

            <identifier   Org="ISBN:0769521711"   Paper_ID="/480945.html"   Extracted="0769521711"   />

            <identifier   Org="ISBN:0792307240"   Paper_ID="/480945.html"   Extracted="0792307240"   DDC="516.3/52"   Normalized_DDC="516352"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:0819405566"   Paper_ID="/480945.html"   Extracted="0819405566"   DDC="621.36/7"   Normalized_DDC="621367"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:1568810393"   Paper_ID="/480945.html"   Extracted="1568810393"   DDC="516.3/52"   Normalized_DDC="516352"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:1568813503"   Paper_ID="/480945.html"   Extracted="1568813503"   />

            <identifier   Org="ISBN:1581135068"   Paper_ID="/480945.html"   Extracted="1581135068"   />

            <identifier   Org="ISBN:1581138520"   Paper_ID="/480945.html"   Extracted="1581138520"   />

            <identifier   Org="ISBN:3211837116"   Paper_ID="/480945.html"   Extracted="3211837116"   />

            <identifier   Org="ISBN:3540220577"   Paper_ID="/480945.html"   Extracted="3540220577"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540221158"   Paper_ID="/480945.html"   Extracted="3540221158"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540258620"   Paper_ID="/480945.html"   Extracted="3540258620"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540401563"   Paper_ID="/480945.html"   Extracted="3540401563"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540620052"   Paper_ID="/480945.html"   Extracted="3540620052"   DDC="006.6/01/516"   Normalized_DDC="006601516"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540738428"   Paper_ID="/480945.html"   Extracted="3540738428"   DDC="516"   Normalized_DDC="516"   Normalized_Weight="0.09090909090909091"   />

            <identifier   Org="ISBN:3540768351"   Paper_ID="/480945.html"   Extracted="3540768351"   />

            <identifier   Org="ISBN:9051991878"   Paper_ID="/480945.html"   Extracted="9051991878"   />

            <identifier   Org="ISBN:9051991967"   Paper_ID="/480945.html"   Extracted="9051991967"   DDC="005.275"   Normalized_DDC="005275"   Normalized_Weight="0.09090909090909091"   />

      </rec>

      <rec   ID="/464022.html"   Type="article"   CiteSeer_Book="Computer   Graphics"   CiteSeer_Volume="29"   Title="Polygonization   of   Non-Manifold   Implicit   Surfaces,">

            <identifier   Org="ISBN:0769505031"   Paper_ID="/464022.html"   Extracted="0769505031"   />

            <identifier   Org="ISBN:0818682620"   Paper_ID="/464022.html"   Extracted="0818682620"   DDC="621.367"   Normalized_DDC="621367"   Normalized_Weight="0.25"   />

            <identifier   Org="ISBN:1568813503"   Paper_ID="/464022.html"   Extracted="1568813503"   />

            <identifier   Org="ISBN:1584655585"   Paper_ID="/464022.html"   Extracted="1584655585"   DDC="303.48/33"   Normalized_DDC="3034833"   Normalized_Weight="0.25"   />

            <identifier   Org="ISBN:3540250522"   Paper_ID="/464022.html"   Extracted="3540250522"   DDC="616.0754"   Normalized_DDC="6160754"   Normalized_Weight="0.25"   />

            <identifier   Org="ISBN:3540639918"   Paper_ID="/464022.html"   Extracted="3540639918"   DDC="510/.285/66"   Normalized_DDC="51028566"   Normalized_Weight="0.25"   />

      </rec>

      <rec   ID="/2232.html"   Type="inproceedings"   CiteSeer_Book="Graphics   Interface   95"   CiteSeer_Volume=""   Title="Oriented   Particles:   {A}   Tool   for   Shape   Memory   Objects   Modelling,">

            <identifier   Org="ISBN:0780350987"   Paper_ID="/2232.html"   Extracted="0780350987"   DDC="006.3/7"   Normalized_DDC="00637"   Normalized_Weight="0.5"   />

            <identifier   Org="ISBN:3211828850"   Paper_ID="/2232.html"   Extracted="3211828850"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.5"   />

            <identifier   Org="ISBN:3211830480"   Paper_ID="/2232.html"   Extracted="3211830480"   />

            <identifier   Org="ISBN:3211837116"   Paper_ID="/2232.html"   Extracted="3211837116"   />

      </rec>

      <rec   ID="/244582.html"   Type="article"   CiteSeer_Book="Computer   Graphics"   CiteSeer_Volume="26"   Title="Decimation   of   triangle   meshes,">

            <identifier   Org="ISBN:012387582X"   Paper_ID="/244582.html"   Extracted="012387582X"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:0444511040"   Paper_ID="/244582.html"   Extracted="0444511040"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:0818682620"   Paper_ID="/244582.html"   Extracted="0818682620"   DDC="621.367"   Normalized_DDC="621367"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:0968880800"   Paper_ID="/244582.html"   Extracted="0968880800"   />

            <identifier   Org="ISBN:1860583253"   Paper_ID="/244582.html"   Extracted="1860583253"   DDC="670.427"   Normalized_DDC="670427"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540221298"   Paper_ID="/244582.html"   Extracted="3540221298"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354023957X"   Paper_ID="/244582.html"   Extracted="354023957X"   DDC="629.892"   Normalized_DDC="629892"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540294112"   Paper_ID="/244582.html"   Extracted="3540294112"   DDC="616.07540285"   Normalized_DDC="61607540285"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540413960"   Paper_ID="/244582.html"   Extracted="3540413960"   DDC="006.6/01/516"   Normalized_DDC="006601516"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354042301X"   Paper_ID="/244582.html"   Extracted="354042301X"   DDC="005.74"   Normalized_DDC="00574"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:354043593X"   Paper_ID="/244582.html"   Extracted="354043593X"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540436391"   Paper_ID="/244582.html"   Extracted="3540436391"   DDC="516"   Normalized_DDC="516"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540651578"   Paper_ID="/244582.html"   Extracted="3540651578"   DDC="616.0757"   Normalized_DDC="6160757"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540714561"   Paper_ID="/244582.html"   Extracted="3540714561"   DDC="006.3/7"   Normalized_DDC="00637"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540748725"   Paper_ID="/244582.html"   Extracted="3540748725"   DDC="790.20285"   Normalized_DDC="79020285"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3898380343"   Paper_ID="/244582.html"   Extracted="3898380343"   DDC="006.42"   Normalized_DDC="00642"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:905809636X"   Paper_ID="/244582.html"   Extracted="905809636X"   />

      </rec>

      <rec   ID="/113559.html"   Type="inproceedings"   CiteSeer_Book="SMA   95   Proceedings   of   the   Third   Symposium   on   Solid   Modeling   and   Applications"   CiteSeer_Volume=""   Title="Bubble   mesh:   automated   triangular   meshing   of   non-manifold   geometry   by   sphere   packing,">

            <identifier   Org="ISBN:0080439446"   Paper_ID="/113559.html"   Extracted="0080439446"   DDC="531/.0285"   Normalized_DDC="5310285"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:0750309520"   Paper_ID="/113559.html"   Extracted="0750309520"   DDC="616.0757"   Normalized_DDC="6160757"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:0780390466"   Paper_ID="/113559.html"   Extracted="0780390466"   DDC="621"   Normalized_DDC="621"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:0818675187"   Paper_ID="/113559.html"   Extracted="0818675187"   />

            <identifier   Org="ISBN:0897916727"   Paper_ID="/113559.html"   Extracted="0897916727"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:0965700135"   Paper_ID="/113559.html"   Extracted="0965700135"   DDC="620/.001/51"   Normalized_DDC="62000151"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:1581133669"   Paper_ID="/113559.html"   Extracted="1581133669"   />

            <identifier   Org="ISBN:1852338180"   Paper_ID="/113559.html"   Extracted="1852338180"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540212310"   Paper_ID="/113559.html"   Extracted="3540212310"   DDC="005.1"   Normalized_DDC="0051"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:354034957X"   Paper_ID="/113559.html"   Extracted="354034957X"   DDC="518"   Normalized_DDC="518"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3540406026"   Paper_ID="/113559.html"   Extracted="3540406026"   DDC="006.3/1"   Normalized_DDC="00631"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:3898380815"   Paper_ID="/113559.html"   Extracted="3898380815"   DDC="005.1/18"   Normalized_DDC="005118"   Normalized_Weight="0.1"   />

            <identifier   Org="ISBN:8480212845"   Paper_ID="/113559.html"   Extracted="8480212845"   />

      </rec>

      <rec   ID="/135664.html"   Type="article"   CiteSeer_Book="Computer   Graphics"   CiteSeer_Volume="31"   Title="Guaranteeing   the   Topology   of   an   Implicit   Surface   Polygonization   for   Interactive   Modeling,">

            <identifier   Org="ISBN:0387984240"   Paper_ID="/135664.html"   Extracted="0387984240"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:0968880800"   Paper_ID="/135664.html"   Extracted="0968880800"   />

            <identifier   Org="ISBN:1568813503"   Paper_ID="/135664.html"   Extracted="1568813503"   />

            <identifier   Org="ISBN:1852338180"   Paper_ID="/135664.html"   Extracted="1852338180"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540258604"   Paper_ID="/135664.html"   Extracted="3540258604"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540282254"   Paper_ID="/135664.html"   Extracted="3540282254"   DDC="516.3/52"   Normalized_DDC="516352"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540332588"   Paper_ID="/135664.html"   Extracted="3540332588"   DDC="516.3/6"   Normalized_DDC="51636"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:3540639918"   Paper_ID="/135664.html"   Extracted="3540639918"   DDC="510/.285/66"   Normalized_DDC="51028566"   Normalized_Weight="0.14285714285714285"   />

            <identifier   Org="ISBN:9812707980"   Paper_ID="/135664.html"   Extracted="9812707980"   DDC="571.4/3"   Normalized_DDC="57143"   Normalized_Weight="0.14285714285714285"   />

      </rec>

      <rec   ID="/455047.html"   Type="article"   CiteSeer_Book="Computer   Graphics"   CiteSeer_Volume="26"   Title="Re-tiling   polygonal   surfaces,">

            <identifier   Org="ISBN:012387582X"   Paper_ID="/455047.html"   Extracted="012387582X"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:0748404589"   Paper_ID="/455047.html"   Extracted="0748404589"   DDC="910/.285"   Normalized_DDC="910285"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:0780336747"   Paper_ID="/455047.html"   Extracted="0780336747"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:0791817164"   Paper_ID="/455047.html"   Extracted="0791817164"   />

            <identifier   Org="ISBN:0818682620"   Paper_ID="/455047.html"   Extracted="0818682620"   DDC="621.367"   Normalized_DDC="621367"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:0969533896"   Paper_ID="/455047.html"   Extracted="0969533896"   />

            <identifier   Org="ISBN:1402034601"   Paper_ID="/455047.html"   Extracted="1402034601"   />

            <identifier   Org="ISBN:1402041780"   Paper_ID="/455047.html"   Extracted="1402041780"   DDC="006.3/7"   Normalized_DDC="00637"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:1581130821"   Paper_ID="/455047.html"   Extracted="1581130821"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:1860584683"   Paper_ID="/455047.html"   Extracted="1860584683"   DDC="670.427"   Normalized_DDC="670427"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3211837094"   Paper_ID="/455047.html"   Extracted="3211837094"   />

            <identifier   Org="ISBN:3540332642"   Paper_ID="/455047.html"   Extracted="3540332642"   DDC="516.15"   Normalized_DDC="51615"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540404562"   Paper_ID="/455047.html"   Extracted="3540404562"   DDC="004.67/8"   Normalized_DDC="004678"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540591206"   Paper_ID="/455047.html"   Extracted="3540591206"   DDC="610/.285/6"   Normalized_DDC="6102856"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540616497"   Paper_ID="/455047.html"   Extracted="3540616497"   DDC="616.07/54"   Normalized_DDC="6160754"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540620052"   Paper_ID="/455047.html"   Extracted="3540620052"   DDC="006.6/01/516"   Normalized_DDC="006601516"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:3540646132"   Paper_ID="/455047.html"   Extracted="3540646132"   DDC="006.3/7"   Normalized_DDC="00637"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:389838019X"   Paper_ID="/455047.html"   Extracted="389838019X"   DDC="005.1/18"   Normalized_DDC="005118"   Normalized_Weight="0.06666666666666667"   />

            <identifier   Org="ISBN:9051994451"   Paper_ID="/455047.html"   Extracted="9051994451"   DDC="810.2856"   Normalized_DDC="8102856"   Normalized_Weight="0.06666666666666667"   />

      </rec>

      <rec   ID="/185610.html"   Type="article"   CiteSeer_Book="Computer   Graphics"   CiteSeer_Volume="28"   Title="Using   Particles   to   Sample   and   Control   Implicit   Surfaces,">

            <identifier   Org="ISBN:0769501869"   Paper_ID="/185610.html"   Extracted="0769501869"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0791847403"   Paper_ID="/185610.html"   Extracted="0791847403"   DDC="620/.00420285"   Normalized_DDC="62000420285"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0818673672"   Paper_ID="/185610.html"   Extracted="0818673672"   DDC="616.07/54/0151"   Normalized_DDC="61607540151"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0818682620"   Paper_ID="/185610.html"   Extracted="0818682620"   DDC="621.367"   Normalized_DDC="621367"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:0824722973"   Paper_ID="/185610.html"   Extracted="0824722973"   />

            <identifier   Org="ISBN:089791953X"   Paper_ID="/185610.html"   Extracted="089791953X"   DDC="006"   Normalized_DDC="006"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:1402034601"   Paper_ID="/185610.html"   Extracted="1402034601"   />

            <identifier   Org="ISBN:156881383X"   Paper_ID="/185610.html"   Extracted="156881383X"   />

            <identifier   Org="ISBN:1581130805"   Paper_ID="/185610.html"   Extracted="1581130805"   />

            <identifier   Org="ISBN:158488360X"   Paper_ID="/185610.html"   Extracted="158488360X"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:1595930671"   Paper_ID="/185610.html"   Extracted="1595930671"   DDC="005.1/14"   Normalized_DDC="005114"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540221158"   Paper_ID="/185610.html"   Extracted="3540221158"   DDC="004"   Normalized_DDC="004"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540612696"   Paper_ID="/185610.html"   Extracted="3540612696"   DDC="510/.1/1366"   Normalized_DDC="51011366"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540617507"   Paper_ID="/185610.html"   Extracted="3540617507"   DDC="006.3/7"   Normalized_DDC="00637"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540684417"   Paper_ID="/185610.html"   Extracted="3540684417"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.08333333333333333"   />

            <identifier   Org="ISBN:3540752722"   Paper_ID="/185610.html"   Extracted="3540752722"   DDC="006.6"   Normalized_DDC="0066"   Normalized_Weight="0.08333333333333333"   />

      </rec>

      <rec   ID="SELF"   Type="SELF"   CiteSeer_Book="SELF"   CiteSeer_Volume="SELF"   Title="Interactive   Visualization   of   Implicit   Surfaces   with   Singularities"   />

</references_metadata>

www.000webhost.com