I often have trouble giving meaningful concise names to variables in the programs I write, perhaps because, until I reach for the keyboard, my thinking is largely nonverbal. I suspect that it would be less of a problem for someone more exposed to the accumulated lore of programmer culture; though perhaps not in this case:<\/p>\n
I’m thinking of breaking up this process<\/a> into multiple rounds, to obtain increasing degrees of geometric continuity<\/a>. The initial nodes would coincide with the input dots but have no defined theta (tangent angle) or kappa (curvature); the first round of replacements determines theta for G<\/i>¹ continuity, the next round determines kappa (the first derivative of theta) for G<\/i>² continuity — and subsequent rounds may seek higher degrees of continuity by matching further derivatives.<\/p>\n This means that the node object, instead of exactly two fields called theta<\/b> and kappa<\/b>, should have a list<\/em> of theta and its known derivatives (one more than the current replacement-round needs), and I’m at a loss for a good name for this list.<\/p>\n","protected":false},"excerpt":{"rendered":" I often have trouble giving meaningful concise names to variables in the programs I write, perhaps because, until I reach for the keyboard, my thinking is largely nonverbal. I suspect that it would be less of a problem for someone … Continue reading