Finding Compact L. R. Nackman
نویسنده
چکیده
Practical solid modeling systems are plagued by numerical problems that arise from using floating-point arithmetic. For example, polyhedral solids are often represented by a combination of geometric and combinatorial information. The geometric information may consist of explicit plane equations, with floatingpoint coefficients; the combinatorial information may consist of face, edge, and vertex adjacencies and orientations, with edges defined by face-face adjacencies and vertices by edge-edge adjacencies. Problems arise when numerical roundoff error in geometric operations causes the geometric information to become inconsistent with the combinatorial information. These problems can be avoided by using exact arithmetic instead of floating-point arithmetic. However, some operations, such as rotation, increase the number of bits required to represent the plane equation coefficients. Since the execution time of exact arithmetic operators
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