Re: I need help!
In Reply to: I need help! posted by wangyangjun on November 24, 2004 at 05:13:29:
: I want to ask a question that why in the loop's scheme
: Joe Warren use the coefficient 3\8n instead of 1/n(5/8-(3/8+1/4cos..) at the interior even vertices. I am puzzled. thank you for your answers.
The main reason is that 3/8n is much simplier than Loop's original weights. Loop chose his weights to try to make his scheme have bounded curvature (it does for low valence vertices, but not for all). However, the 3/8n weight will also produce surfaces that are C^2 in the ordinary (valence 6 case) and C^1 at all other valences.