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ACM Transactions on Graphics (TOG), Volume 19 Issue 1, Jan. 2000

Shadow volume reconstruction from depth maps
Michael D. McCool
Pages: 1-26
DOI: 10.1145/343002.343006
Current graphics hardware can be used to generate shadows using either the shadow volume or shadow map techniques. However, the shadow volume technique requires access to a representation of the scence as a polygonal model, and handling the near...

Applications of the polynomial s-power basis in geometry processing
Javier Sánchez-Reyes
Pages: 27-55
DOI: 10.1145/343002.343018
We propose a unified methodology to tackle geometry processing operations admitting explicit algebraic expressions. This new approach is based on representing and manipulating polynomials algebraically in a recently basis, the symmetric analogue...

Estimating tessellation parameter intervals for rational curves and surfaces
Jianmin Zheng, Thomas W. Sederberg
Pages: 56-77
DOI: 10.1145/343002.343034
This paper presents a method for determining a priori a constant parameter interval for tessellating a rational curve or surface such that the deviation of the curve or surface from its piecewise linear approximation is within...