Alexa, M., Refinement operators of triangle meshes, Comput. Aided Geom. Design 19 (2002) 169--172. Home/Search Document Details and Download
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On the Support of Recursive Subdivision - Ivrissimtzis, Sabin, Dodgson (2002) (1 citation) (Correct)
....step. The schemes with arity 2 are called binary, the schemes with arity 3 are called ternary, etc. The arity is well defined because, owing to the symmetry assumptions underlying a subdivision scheme, the subdivision of a regular mesh is also regular. In fact, this property was used in [1] and [6] for a classification of all the subdivision schemes. The arity, usually, is either an integer or the square root of an integer. Here we consider schemes with integer arity and study the square root schemes by taking double steps. Nevertheless, most of the propositions and their proofs can ....
....i m 1 (n (17) or, in a set theoretic notation i=0 # i(n (18) with each component of the union corresponding to a choice of a value for i 1 . If k n 1 then the above is a Cantor like fractal set. Indeed, the convex hull of A is the interval [0,1] and thus, the convex hull of each of the components of (18) is an interval of length . Figure 5(a) shows the convex hulls of the components of (18) The union of these convex hulls gives an improved outer bound for A, which is a proper subset of the interval [0,1] Continuing this way, choosing ....
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M. Alexa. Refinement operators for triangle meshes. Computer Aided Geometric Design, 19(3):169--172, 2002.
Characteristics of Dual - Triangular Subdivision Dodgson (Correct)
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Alexa, M., Refinement operators of triangle meshes, Comput. Aided Geom. Design 19 (2002) 169--172.
Technical Report - Number Computer Laboratory (1993) (2 citations) (Correct)
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M. Alexa. Refinement operators for triangle meshes. Computer Aided Geometric Design, 19(3):169--172, 2002.
An Heuristic Analysis of the Classification of Bivariate.. - Dodgson (2005) (Correct)
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Alexa, M.: Refinement operators for triangle meshes. Computer Aided Geometric Design 19 (2002) 169--172
Characteristics of Dual - Triangular Subdivision Dodgson (Correct)
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Alexa, M., Refinement operators of triangle meshes, Comput. Aided Geom. Design 19 (2002) 169--172.
Classification and Construction of Bivariate Subdivision Schemes - Han (2002) (1 citation) (Correct)
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M. Alexa. Refinement operators for triangle meshes, CAGD 19 (2002), 169--172.
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