R. Fournier, N. Kajler, B. Mourrain (1993), "Visualization of Mathematical Surfaces: the IZIC Server Approach ", Submitted to the Journal of Symbolic Computation. Home/Search Document Details and Download
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Mathematical Graphical Object Representation - Le (Correct)
....or graphical objects. For communication of mathematical formulae, different standards have been proposed and widely accepted [15] For the representation of graphical objects on the Web, there exist stand alone graphics facilities such as SIG [16] that works with the X Window System and ZICLIB [17] which runs on Unix systems. Both of them can be driven from Computer Algebra Systems (CASs) However, they lack inter object communication, the programmability to change the behaviour of the objects, and the possibility to obtain properties of interest about a particular object. We will show in ....
R. Fournier, N. Kajler, B. Mourrain (1993), "Visualization of Mathematical Surfaces: the IZIC Server Approach ", Submitted to the Journal of Symbolic Computation.
Computer Algebra Methods for Studying and Computing.. - Emiris, Mourrain (1997) (3 citations) Self-citation (Mourrain) (Correct)
....Visualization transforms the symbolic and numeric results to visual geometric information, hence its importance in tactile and visual sciences such as computational biology. Here, we illustrate the use of two specialized tools with dioeerent merits and limitations. The rst tool is izic [FKM94] a stand alone high quality 3D graphics tool driven by a command language, which allows eOEcient curve and surface manipulations using a virtual graphics device. They include management of pseudo colors and true colors, manipulation of the illumination model, shading and transparency. As an ....
R. Fournier, N. Kajler, and B. Mourrain. Visualization of mathematical surfaces: the IZIC server approach. J. Symbolic Computation, 19:159173, 1994.
Polynomial System Solving: The Case of a Six-Atom Molecule - Emiris, Mourrain (1996) Self-citation (Mourrain) (Correct)
....therefore, solving for the dihedral angles under the assumption of rigid geometry provides information for the energetically favorable con gurations. We consider cyclic molecules of six atoms to illustrate our approach. The gure shows one con guration of such a molecule, drawn by IZIC [FKM94] The relationship to geometry and robotics is obvious once bonds are thought of as rigid joints and atoms as the mechanism s links or articulations. The only movement allowed is rotation around the bonds axes, so the question of identifying a conformation reduces to nding the respective pose. ....
.... phenomenon, starting with the pure cyclohexane, we randomly perturb the data by about 10 to obtain fi ij as the entries of matrix 2 4 Gamma310 959 774 1389 1313 Gamma365 755 917 1451 269 Gamma413 837 838 1655 1352 3 5 : In this case, we nd the following 4 solutions, visualized by IZIC [FKM94] A chemist will immediately recognize two chair and two twisted boat, or crown, con gurations corresponding to the roots t 1 t 2 t 3 0.3684363946 0.3197251270 0.2969559367 0.3684363946 0.3197251270 0.2969559367 0.7126464332 0.01038413185 0.6234532743 0.7126464332 0.01038413185 ....
R. Fournier, N. Kajler, and B. Mourrain. Visualization of mathematical surfaces: the IZIC server approach. J. Symbolic Computation, 19:159173, 1994.
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