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Constructing hierarchies for triangle meshes

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5 Author(s)
Gieng, T.S. ; Dept. of Comput. Sci., California Inst. of Technol., Pasadena, CA, USA ; Hamann, B. ; Joy, K.I. ; Schussman, G.L.
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We present a method to produce a hierarchy of triangle meshes that can be used to blend different levels of detail in a smooth fashion. The algorithm produces a sequence of meshes M0, M1, M 2..., Mn, where each mesh Mi can be transformed to mesh Mi+1 through a set of triangle-collapse operations. For each triangle, a function is generated that approximates the underlying surface in the area of the triangle, and this function serves as a basis for assigning a weight to the triangle in the ordering operation and for supplying the points to which the triangles are collapsed. The algorithm produces a limited number of intermediate meshes by selecting, at each step, a number of triangles that can be collapsed simultaneously. This technique allows us to view a triangulated surface model at varying levels of detail while insuring that the simplified mesh approximates the original surface well

Published in:

Visualization and Computer Graphics, IEEE Transactions on  (Volume:4 ,  Issue: 2 )

Date of Publication:

Apr-Jun 1998

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