Solid representation and operation using extended octrees
ACM Transactions on Graphics (TOG)
Designing solid objects using interactive sketch interpretation
I3D '92 Proceedings of the 1992 symposium on Interactive 3D graphics
Degenerate polynomial patches of degree 4 and 5 used for geometrically smooth interpolation in R3
Computer Aided Geometric Design
Computer graphics (2nd ed. in C): principles and practice
Computer graphics (2nd ed. in C): principles and practice
Surface design using triangular patches
Computer Aided Geometric Design - Special issue: in memory of John Gregory
IEEE Computer Graphics and Applications
Delaunay Triangulation in Three Dimensions
IEEE Computer Graphics and Applications
Voxel-Based Modeling for Layered Manufacturing
IEEE Computer Graphics and Applications
Analysis of Cardiac Function from MR Images
IEEE Computer Graphics and Applications
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The design and display of 3D models on a computer screen is usually interleaved by a series of data manipulations. Data are usually sets of 3D points that make up polygonal patches in the composition of polyhedral models. Manipulations are the transformation operations that are applied to points to facilitate design and visual understanding of the graphical models. To further facilitate and speed up the design phase, methods are proposed to interactively segment and modify selected sub-surfaces, thereby limiting the number of patches that need to be manipulated for computationally cheaper and faster results.This paper illustrates how polyhedral surfaces can be organized into special data structures to facilitate rapid selection of vertices, and how those same surfaces can be segmented into sub-polyhedra for zooming and vertex manipulation during design, and can then be re-introduced as modified segments into the original structure. Algorithms and visual examples are also provided to support the work.