Ruby 的小角度7参数转换简单描述
tk
posted @ Jan 11, 2012 01:58:22 PM
in Ruby
, 1943 阅读
小角度7参数转换的 Ruby 使用 Matrix的简单描述
小角度的7参数坐标系转换可以化简原本的转换参数公式,最后如下图片描述
这是一段根据3个点对的坐标来求解转换额外一点的对应坐标的 Ruby代码,使用了Ruby标准库里的 Matrix,很方便的:
require 'matrix' def buildBUnit(*p) a = [] a[0, 7] = 1, 0, 0, p[0], 0, -p[2], p[1] a[7, 7] = 0, 1, 0, p[1], p[2], 0, -p[0] a[14, 7] = 0, 0, 1, p[2], -p[1], p[0], 0 a end def cutDown(*p, count) a = [] row = 0 while row < (p.count.to_f / count).ceil a << p[row * count, count] row += 1 end a end def buildB(*p) a = [] p.each {|point| a += buildBUnit(*point) } Matrix[*(cutDown(*a, 7))] end def buildA(*p) Matrix.column_vector(p.flatten) end m = [[ 30.55876333, 117.2395818, 13.09], [30.55882632, 117.23958408, 13.188], [ 30.55876333, 117.23968333, 13.09]] p = [[13.127, -3.579, 10.143], [13.090, 3.434, 10.200], [3.127, -3.579, 10.143]] B = buildB(*p) A = buildA(*m) BT = B.transpose temp = BT * B X = temp.inv * BT * A bas = [47.850, -0.020, 3.399] trans = Matrix[*cutDown(*buildBUnit(*bas), 7)] MM = trans * X p MM #够简单的。。。。
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