A unified approach for hierarchical adaptive tesselation of surfaces
ACM Transactions on Graphics (TOG)
Simple and efficient polygonization of implicit surfaces
Journal of Graphics Tools
Shape modeling with point-sampled geometry
ACM SIGGRAPH 2003 Papers
Isotopic implicit surface meshing
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Multiresolution free form object modeling with point sampled geometry
Journal of Computer Science and Technology - Special issue on computer graphics and computer-aided design
Graphical Models - Special issue on SMI 2004
High-order approximation of implicit surfaces by G1 triangular spline surfaces
Computer-Aided Design
A hierarchical sampling approach for polygonizing variational implicit surfaces
Computers and Graphics
The HybridTree: a hybrid constructive shape representation for free-form modeling
Heterogeneous objects modelling and applications
Optimization of continuous heterogeneous models
Heterogeneous objects modelling and applications
A survey on CAD methods in 3D garment design
Computers in Industry
Technical Section: Interactive free-form level-set surface-editing operators
Computers and Graphics
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From the Publisher:Implicit definition and description of geometric objects and surfaces plays a critical role in the appearance and manipulation of computer graphics. In addition, the mathematical definition of shapes, using an implicit form, has pivotal applications for geometric modeling, visualization and animation.Until recently, the parametric form has been by far the most popular geometric representation used in computer graphics and computer-aided design. Whereas parametric objects and the techniques associated with them have been exhaustively developed, the implicit form has been used as a complementary geometric representation, mainly in the restricted context of specific applications. However, recent developments in graphics are changing this situation, and the community is beginning to draw its attention to implicit objects. This is reflected in the current research of aspects related to this subject. Employing a coherent conceptual framework, Implicit Objects in Computer Graphics addresses the role of implicitly defined objects in the following parts: mathematical foundations of geometric models, implicit formulations for the specification of shapes, implicit primitives, techniques for constructing and manipulating implicit objects, modeling, rendering and animation implicit objects.