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ACM Transactions on Graphics (TOG), Volume 12 Issue 4, Oct. 1993

Inferring constraints from multiple snapshots
David Kurlander, Steven Feiner
Pages: 277-304
DOI: 10.1145/159730.159731
Many graphic tasks, such as the manipulation of graphical objects and the construction of user-interface widgets, can be facilitated by geometric constraints. However, the difficulty of specifying constraints by traditional methods forms a...

Separating and intersecting spherical polygons: computing machinability on three-, four-, and five-axis numerically controlled machines
Lin-Lin Chen, Shuo-Yan Chou, Tony C. Woo
Pages: 305-326
DOI: 10.1145/159730.159732
We consider the computation of an optimal workpiece orientation allowing the maximal number of surfaces to be machined in a single setup on a three-, four-, or five-axis numerically controlled machine. Assuming the use of a ball-end cutter, we...

Higher-order interpolation and least-squares approximation using implicit algebraic surfaces
Chandrajit Bajaj, Insung Ihm, Joe Warren
Pages: 327-347
DOI: 10.1145/159730.159734
In this article, we characterize the solution space of low-degree, implicitly defined, algebraic surfaces which interpolate and/or least-squares approximate a collection of scattered point and curve data in three-dimensional space. The problem...

User-interface devices for rapid and exact number specification
Ari Rappoport, Maarten Van Emmerik
Pages: 348-354
DOI: 10.1145/159730.214380