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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 , 1946 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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