Co-Planar Stereotaxic Atlas of the Human Brain—3-Dimensional Proportional System: An Approach to Cerebral Imaging, J. Talairach, P. Tournoux. Georg Thieme Verlag, New York (1988), 122 pp., 130 figs. DM 268

Monthly Notices is one of the three largest general primary astronomical research publications. It is an international journal, published by the Royal Astronomical Society. This article 1 describes its publication policy and practice.

Monthly Notices of the Royal Astronomical Society

Initial-value ordinary differential equation solution via variable order Adams method (SIVA/DIVA) package is collection of subroutines for solution of nonstiff ordinary differential equations. There are versions for single-precision and double-precision arithmetic. Requires fewer evaluations of derivatives than other variable-order Adams predictor/ corrector methods. Option for direct integration of second-order equations makes integration of trajectory problems significantly more efficient. Written in FORTRAN 77.

Solving Ordinary Differential Equations

Computational geometry

We present a sketching interface for quickly and easily designing freeform models such as stuffed animals and other rotund objects. The user draws several 2D freeform strokes interactively on the screen and the system automatically constructs plausible 3D polygonal surfaces. Our system supports several modeling operations, including the operation to construct a 3D polygonal surface from a 2D silhouette drawn by the user: it inflates the region surrounded by the silhouette making wide areas fat, and narrow areas thin. Teddy, our prototype system, is implemented as a Java™ program, and the mesh construction is done in real-time on a standard PC. Our informal user study showed that a first-time user typically masters the operations within 10 minutes, and can construct interesting 3D models within minutes.

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Teddy: a sketching interface for 3D freeform design

We present a new wavelet compression and multiresolution modeling approach for sets of contours (level sets). In contrast to previous wavelet schemes, our algorithm creates a parametrization of a scalar field induced by its contours and compactly stores this parametrization rather than function values sampled on a regular grid. Our representation is based on hierarchical polygon meshes with subdivision connectivity whose vertices are transformed into wavelet coefficients. From this sparse set of coefficients, every set of contours can be efficiently reconstructed at multiple levels of resolution. When applying lossy compression, introducing high quantization errors, our method preserves contour topology, in contrast to compression methods applied to the corresponding field function. We provide numerical results for scalar fields defined on planar domains. Our approach generalizes to volumetric domains, time-varying contours, and level sets of vector fields.

/pdf/wavelet-representation-of-contour-sets-28rksredv5.pdf

Wavelet representation of contour sets

This paper introduces methods of creating, modifying and visualizing free-form geometric models, by use of the B-spline hyperpatch. Modeling tools for the hyperpatch, including local control-point interactions, lofting operations and sweeping operations, are described. These operations, together with modeling tools generated for free-form surface design, form a powerful tool hierarchy for the design of complex solids. Techniques are also described by which these hyperpatches may be integrated into conventional visible-surface algorithms. With the defined methods, and the hyperpatch model, the complexity of free-form solid object construction was found to be significantly simplified.

Utilizing parametric hyperpatch methods for modeling and display of free-form solids

A swept solid is obtained by sweeping an object (the generator) along a second object (the trajectory). This paper introduces methods of creating and visualizing swept objects, where the generator belongs to the class of B-spline hyperpatch solids and the trajectory is a B-spline-curve. A method was given that refines the swept object into one or more hyperpatch objects, each of which can be further refined into a set of B-spline boundary patches. The boundary patches can then be inserted directly into a rendering algorithm. These operations, together with modeling tools generated for free-form surface design, form a powerful tool kit for the design of complex solids.

Visualization of swept hyperpatch solids

This paper introduces the DesignersWorkbench, a semi-immersive virtual environment for two-handed modeling, sculpting and analysis tasks. The paper outlines the fundamental tools, design metaphors and hardware components required for an intuitive real-time modeling system. As companies focus on streamlining productivity to cope with global competition, the migration to computer-aided design (CAD), computer-aided manufacturing (CAM), and computer-aided engineering (CAE) systems has established a new backbone of modern industrial product development. However, traditionally a product design frequently originates from a clay model that, after digitization, forms the basis for the numerical description of CAD primitives. The DesignersWorkbench aims at closing this technology or ''digital gap'' experienced by design and CAD engineers by transforming the classical design paradigm into its filly integrated digital and virtual analog allowing collaborative development in a semi-immersive virtual environment. This project emphasizes two key components from the classical product design cycle: freeform modeling and analysis. In the freeform modeling stage, content creation in the form of two-handed sculpting of arbitrary objects using polygonal, volumetric or mathematically defined primitives is emphasized, whereas the analysis component provides the tools required for pre- and post-processing steps for finite element analysis tasks applied to the created models.

/pdf/designers-workbench-toward-real-time-immersive-modeling-1s43q0kece.pdf

Designers workbench: toward real-time immersive modeling

The fields of medical imaging, vector field visualization, flow simulation, and computational fluid dynamics (CFD) produce large data sets. These datasets cannot be rendered in a reasonable amount of time. Rendering a complete data set at high resolution is often timeconsuming and intractable. Moreover, if a user is interested in only one small portion of a data set, it is wasteful to render the whole data set at high resolution. For example, a medical researcher might be interested not in an entire MRI data set, but only in a certain subregion.

Kenneth I. Joy

Papers

Wavelet representation of contour sets

Utilizing parametric hyperpatch methods for modeling and display of free-form solids

Visualization of swept hyperpatch solids

Designers workbench: toward real-time immersive modeling

An Error-Controlled Octree Data Structure for Large-Scale Visualization