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ACM Transactions on Graphics (TOG), Volume 13 Issue 4, Oct. 1994

Inverse kinematics positioning using nonlinear programming for highly articulated figures
Jianmin Zhao, Norman I. Badler
Pages: 313-336
DOI: 10.1145/195826.195827
An articulated figure is often modeled as a set of rigid segments connected with joints. Its configuration can be altered by varying the joint angles. Although it is straight forward to compute figure configurations given joint angles (forward...

Topological considerations in isosurface generation
Allen van Gelder, Jane Wilhelms
Pages: 337-375
DOI: 10.1145/195826.195828
A popular technique for rendition of isosurfaces in sampled data is to consider cells with sample points as corners and approximate the isosurface in each cell by one or more polygons whose vertices are obtained by interpolation of the sample...

Height distributional distance transform methods for height field ray tracing
David W. Paglieroni, Sidney M. Petersen
Pages: 376-399
DOI: 10.1145/195826.197312
Height distributional distance transform (HDDT) methods are introduced as a new class of methods for height field ray tracing. HDDT methods utilize results of height field preprocessing. The preprocessing involves computing a height field...

On the lower degree intersections of two natural quadrics
Ching-Kuang Shene, John K. Johnstone
Pages: 400-424
DOI: 10.1145/195826.197316
In general, two quadric surface intersect in a space quartic curve. However, the intersection frequently degenerates to a collection of plane curves. Degenerate cases are frequent in geometric/solid modeling because degeneracies are often...