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Citation
Ku-Jin Kim, and In-Kwon Lee, "The Perspective Silhouette of a Canal Surface", Computer Graphics Forum (SCIE), Vol. 22, No. 1, pp. 15-22, 2003.
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Abstract
We present an efficient and robust algorithm for parameterizing the perspective silhouette of a canal surface and detecting each connected component of the silhouette. A canal surface is the envelope of a moving sphere with varying radius, defined by the trajectory C(t) of its center and a radius function r(t). This moving sphere, S(t), touches the canal surface at a characteristic circle K(t). We decompose the canal surface into a set of characteristic circles, compute the silhouette points on each characteristic circle, and then parameterize the silhouette curve. The perspective silhouette of the sphere S(t) from a given viewpoint consists of a circle Q(t); by identifying the values of t at which K(t) and Q(t) touch, we can find all the connected components of the silhouette curve of the canal surface.
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