{"product_id":"height-interpolation-for-earthwork-and-contouring-von-mohamad-yahya","title":"Height Interpolation for Earthwork and Contouring","description":"\u003cp\u003eHeight interpolation means the calculation of the height Z of a point known it¿s plane coordinates (X,Y) , without going to the field and using surveying instruments which costs a higher . The work can be done accurately in two steps . First \"Height interpolation\" using the ¿Side interpolation method¿ (developed by the author) which gives the \"Interpolated height\" through the plane surface of a triangle using few linear calculation , Second \"filtering the interpolated height\" using the \"Effect of the adjacent triangles\" (developed by the author) . The height will be interpolated three times one through each adjacent triangle then subtract the \"Interpolted height\" to get three values (could be positive or negative) . Take the mean , then apply \"Weight Factor\" to get the \"Filtering Value\" . Add it to the \"Interpolated height\" to get the \"Filtered Interpolated height\"  which is very nearly equal to the height on the ground surface at the position of  X ,Y   .\u003c\/p\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783846528136\"\u003e\u003ch3\u003eHeight Interpolation\u003c\/h3\u003e\u003c\/div\u003e","brand":"Autorenwelt Shop","offers":[{"title":"Softcover - 9783846528136","offer_id":39471354052701,"sku":"9783846528136","price":68.0,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/3ca491f8-7a97-4db0-90d6-e49463f6618b.jpg?v=1759296453","url":"https:\/\/shop.autorenwelt.de\/products\/height-interpolation-for-earthwork-and-contouring-von-mohamad-yahya","provider":"Autorenwelt Shop","version":"1.0","type":"link"}